bwmeta1.element.bwnjournal-journal-aa, Tome 115 (2004)

Sommaire

p. 1-3

The Polish Digital Mathematics Library

{(n α)}_{n \in ℕ}

et substitutions

Boris Adamczewski

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p. 1-22

The Polish Digital Mathematics Library

Sur la non-linéarité des fonctions booléennes

François Rodier

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p. 1-22

The Polish Digital Mathematics Library

Uniform bounds for Fourier coefficients of theta-series with arithmetic applications

Valentin Blomer

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p. 1-21

The Polish Digital Mathematics Library

Greenberg's conjecture and cyclotomic towers

David C. Marshall

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p. 1-14

The Polish Digital Mathematics Library

New criteria for canonical number systems

Shigeki Akiyama ; Hui Rao

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p. 5-25

The Polish Digital Mathematics Library

The rational points close to a curve III

M. N. Huxley

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p. 15-30

The Polish Digital Mathematics Library

Arithmetics of beta-expansions

L. S. Guimond ; Z. Masáková ; E. Pelantová

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p. 23-40

The Polish Digital Mathematics Library

Distinguishing Hecke eigenvalues of primitive cusp forms

J. Sengupta

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p. 23-34

The Polish Digital Mathematics Library

Integers not of the form

c (2^{a} + 2^{b}) + p^{α}

Pingzhi Yuan

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p. 23-28

The Polish Digital Mathematics Library

Combinatorial relations for Euler-Zagier sums

Hirofumi Tsumura

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p. 27-42

The Polish Digital Mathematics Library

Torsion subgroups of elliptic curves with non-cyclic torsion over ℚ in elementary abelian 2-extensions of ℚ

Yasutsugu Fujita

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p. 29-45

The Polish Digital Mathematics Library

Torsion points on curves and common divisors of

a^{k} - 1

and

b^{k} - 1

Nir Ailon ; Zéev Rudnick

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p. 31-38

The Polish Digital Mathematics Library

On higher-power moments of Δ(x) (II)

Wenguang Zhai

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p. 35-54

The Polish Digital Mathematics Library

Arithmetic of certain hypergeometric modular forms

Karl Mahlburg ; Ken Ono

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p. 39-55

The Polish Digital Mathematics Library

Sums of cubes of polynomials

Mireille Car ; Luis Gallardo

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p. 41-50

The Polish Digital Mathematics Library

Galois representations of dihedral type over ℚₚ

Peder Frederiksen ; Ian Kiming

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p. 43-59

The Polish Digital Mathematics Library

Entropies of the partitions of the unit interval generated by the Farey tree

Nikolai Moshchevitin ; Anatoly Zhigljavsky

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p. 47-58

The Polish Digital Mathematics Library

Formes cubiques sur

_{2^{h}} [T]

Mireille Car

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p. 51-74

The Polish Digital Mathematics Library

Four squares of primes and 165 powers of 2

Jianya Liu ; Guangshi Lü

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p. 55-70

The Polish Digital Mathematics Library

On Fourier coefficients of modular forms of different weights

Winfried Kohnen

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p. 57-67

The Polish Digital Mathematics Library

Une minoration pour l'exposant du groupe de classes d'idéaux

Francesco Amoroso

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p. 59-69

The Polish Digital Mathematics Library

A family of quartic Thue inequalities

Andrej Dujella ; Borka Jadrijević

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p. 61-76

The Polish Digital Mathematics Library

Note on J. H. E. Cohn's paper "The Diophantine equation xⁿ = Dy² + 1"

E. Herrmann ; I. Járási ; A. Pethő

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p. 69-76

The Polish Digital Mathematics Library

Computing Galois groups by means of Newton polygons

Michael Kölle ; Peter Schmid

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p. 71-84

The Polish Digital Mathematics Library

Normal integral bases and ray class groups

Humio Ichimura

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p. 71-85

The Polish Digital Mathematics Library

Bielliptic modular curves X₁(N)

Daeyeol Jeon ; Chang Heon Kim

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p. 75-86

The Polish Digital Mathematics Library

On the distribution of kth powers of integral quaternions

G. Kuba

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p. 77-96

The Polish Digital Mathematics Library

On the

p^{λ}

problem

Stephan Baier

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p. 77-101

The Polish Digital Mathematics Library

Index form equations in sextic fields: a hard computation

Yuri Bilu ; István Gaál ; Kálmán Győry

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p. 85-96

The Polish Digital Mathematics Library

On the number of representations of a positive integer by a binary quadratic form

Pierre Kaplan ; Kenneth S. Williams

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p. 87-98

The Polish Digital Mathematics Library

The diophantine equation

x^{2} = p^{a} \pm p^{b} + 1

Florian Luca

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p. 87-101

The Polish Digital Mathematics Library

Representation of odd integers as the sum of one prime, two squares of primes and powers of 2

Tao Liu

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p. 97-118

The Polish Digital Mathematics Library

A Gel'fond type criterion in degree two

Benoit Arbour ; Damien Roy

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p. 97-103

The Polish Digital Mathematics Library

Ergodic and Diophantine properties of algorithms of Selmer type

Fritz Schweiger

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p. 99-111

The Polish Digital Mathematics Library

The number of k-sums of abelian groups of order k

Hong Bing Yu

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p. 103-107

The Polish Digital Mathematics Library

Une généralisation du problème de Waring-Goldbach polynomial

Houda Aïssa

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p. 103-130

The Polish Digital Mathematics Library

Galois module structure of units in real biquadratic number fields

Marcin Mazur ; Stephen V. Ullom

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p. 105-124

The Polish Digital Mathematics Library

Wild kernels at the prime 2

Paul Arne Østvær

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p. 109-130

The Polish Digital Mathematics Library

Action of Hecke operators on products of Igusa theta constants with rational characteristics

Anatoli N. Andrianov ; Fedor A. Andrianov

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p. 113-133

The Polish Digital Mathematics Library

Simultaneous Pell equations

Pingzhi Yuan

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p. 119-131

The Polish Digital Mathematics Library

On the stationary points of Hardy's function Z(t)

R. R. Hall

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p. 125-140

The Polish Digital Mathematics Library

Hecke operators for GLₙ and buildings

Cristina M. Ballantine ; John A. Rhodes ; Thomas R. Shemanske

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p. 131-140

The Polish Digital Mathematics Library

Quadratic forms with polynomial coefficients

Mireille Car

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p. 131-155

The Polish Digital Mathematics Library

Subfields of the function field of the Deligne-Lusztig curve of Ree type

Emrah Çakçak ; Ferruh Özbudak

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p. 133-180

The Polish Digital Mathematics Library

On the difference of the consecutive primitive roots

Yonghui Wang ; Claus Bauer

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p. 135-148

The Polish Digital Mathematics Library

The product of two Dirichlet series

Frédéric Bayart

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p. 141-152

The Polish Digital Mathematics Library

Approximate formulae for L(1,χ), II

Olivier Ramaré

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p. 141-149

The Polish Digital Mathematics Library

Sur la proximité des nombres puissants

Jean-Marie De Koninck ; Florian Luca

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p. 149-157

The Polish Digital Mathematics Library

Fractions rationnelles hyperboliques p-adiques

Jean-Paul Bézivin

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p. 151-175

The Polish Digital Mathematics Library

Heine's basic transform and a permutation group for q-harmonic series

Wadim Zudilin

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p. 153-164

The Polish Digital Mathematics Library

Maass operators and van der Pol-type identities for Ramanujan's tau function

Dominic Lanphier

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p. 157-167

The Polish Digital Mathematics Library

The modular degree and the congruence number of a weight 2 cusp form

Alina Carmen Cojocaru ; Ernst Kani

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p. 159-167

The Polish Digital Mathematics Library

Notes on power LCM matrices

Shaofang Hong

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p. 165-177

The Polish Digital Mathematics Library

Arithmetic Clifford's theorem for Hermitian vector bundles

Tohru Nakashima

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p. 169-174

The Polish Digital Mathematics Library

Sur le spectre d'un polynôme à plusieurs variables

Salah Najib

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p. 169-181

The Polish Digital Mathematics Library

Upper bounds for the number of factors for a class of polynomials with rational coefficients

Nicolae Ciprian Bonciocat

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p. 175-187

The Polish Digital Mathematics Library

Annihilators for the class group of a cyclic field of prime power degree

C. Greither ; R. Kučera

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p. 177-198

The Polish Digital Mathematics Library

Negative values of cosine sums

Imre Z. Ruzsa

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p. 179-186

The Polish Digital Mathematics Library

Pair correlation of the zeros of the Riemann zeta function in longer ranges

Tsz Ho Chan

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p. 181-204

The Polish Digital Mathematics Library

A generalization of a third irreducibility theorem of I. Schur

Martha Allen ; Michael Filaseta

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p. 183-197

The Polish Digital Mathematics Library

Exceptional congruences for powers of the partition function

Matthew Boylan

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p. 187-203

The Polish Digital Mathematics Library

On the symmetry of the divisor function in almost all short intervals

G. Coppola ; S. Salerno

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p. 189-201

The Polish Digital Mathematics Library

More precise Pair Correlation Conjecture on the zeros of the Riemann zeta function

Tsz Ho Chan

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p. 199-214

The Polish Digital Mathematics Library

A density result for elliptic Dedekind sums

Hiroshi Ito

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p. 199-208

The Polish Digital Mathematics Library

The structure of the tame kernels of quadratic number fields (I)

H. R. Qin

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p. 203-240

The Polish Digital Mathematics Library

Regularly spaced subsums of integer partitions

E. Rodney Canfield ; Carla D. Savage ; Herbert S. Wilf

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p. 205-216

The Polish Digital Mathematics Library

On the Barban-Davenport-Halberstam theorem: XV

C. Hooley

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p. 205-224

The Polish Digital Mathematics Library

On the Tate-Shafarevich group of semistable elliptic curves with a rational 3-torsion

Noboru Aoki

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p. 209-227

The Polish Digital Mathematics Library

Chen's double sieve, Goldbach's conjecture and the twin prime problem

J. Wu

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p. 215-273

The Polish Digital Mathematics Library

On the number of primitive λ-roots

T. W. Müller ; J.-C. Schlage-Puchta

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p. 217-223

The Polish Digital Mathematics Library

The size function h° for a pure cubic field

Paolo Francini

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p. 225-237

The Polish Digital Mathematics Library

A note on the Dirichlet characters of polynomials

Wenpeng Zhang ; Weili Yao

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p. 225-229

The Polish Digital Mathematics Library

Digit derivatives and application to zeta measures

Sangtae Jeong

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p. 229-245

The Polish Digital Mathematics Library

Determinants of Legendre symbol matrices

Robin Chapman

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p. 231-244

The Polish Digital Mathematics Library

Average distributions and products of special values of L-series

Amir Akbary ; Chantal David ; Robert Juricevic

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p. 239-268

The Polish Digital Mathematics Library

Fermat's equation for matrices or quaternions over q-adic fields

Paulo Ribenboim

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p. 241-250

The Polish Digital Mathematics Library

The Erdős-Turán property for a class of bases

Jaroslav Nešetřil ; Oriol Serra

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p. 245-254

The Polish Digital Mathematics Library

Metric properties for p-adic Oppenheim series expansions

Jun Wu

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p. 247-261

The Polish Digital Mathematics Library

Infinite 2-class field towers of some imaginary quadratic number fields

Yutaka Sueyoshi

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p. 251-257

The Polish Digital Mathematics Library

On the number of real roots of a solvable polynomial

C. U. Jensen

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p. 255-263

The Polish Digital Mathematics Library

Lattice points in a circle: An improved mean-square asymptotics

Werner Georg Nowak

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p. 259-272

The Polish Digital Mathematics Library

Congruence monoids

Alfred Geroldinger ; Franz Halter-Koch

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p. 263-296

The Polish Digital Mathematics Library

The exponential sum over squarefree integers

Jan-Christoph Schlage-Puchta

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p. 265-268

The Polish Digital Mathematics Library

The Jacobi-Perron Algorithm and Pisot numbers

Eugène Dubois ; Ahmed Farhane ; Roger Paysant-Le Roux

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p. 269-275

The Polish Digital Mathematics Library

The least primitive root in number fields

Yonghui Wang ; Claus Bauer

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p. 269-285

The Polish Digital Mathematics Library

Problème de Lehmer pour les hypersurfaces de variétés abéliennes de type C.M.

Nicolas Ratazzi

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p. 273-290

The Polish Digital Mathematics Library

A quantitative lower bound for the greatest prime factor of (ab+1)(bc+1)(ca+1)

Yann Bugeaud ; Florian Luca

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p. 275-294

The Polish Digital Mathematics Library

Uniformly counting points of bounded height

Thomas Loher ; David Masser

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p. 277-297

The Polish Digital Mathematics Library

Car-Pólya and Gel’fond’s theorems for

_{q} [T]

David Adam

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p. 287-303

The Polish Digital Mathematics Library

On the torsion of elliptic curves over cubic number fields

Daeyeol Jeon ; Chang Heon Kim ; Andreas Schweizer

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p. 291-301

The Polish Digital Mathematics Library

On Karatsuba Conjecture and the Lindelöf Hypothesis

Shao-Ji Feng

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p. 295-300

The Polish Digital Mathematics Library

Large sieve inequality with characters to square moduli

Liangyi Zhao

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p. 297-308

The Polish Digital Mathematics Library

Multiplicative character sums for nonlinear recurring sequences

Harald Niederreiter ; Arne Winterhof

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p. 299-305

The Polish Digital Mathematics Library

Linear mod one transformations and the distribution of fractional parts {ξ(p/q)ⁿ}

Yann Bugeaud

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p. 301-311

The Polish Digital Mathematics Library

The Diophantine equation x(x+1)...(x+(m-1)) + r = yⁿ

Yu. F. Bilu ; M. Kulkarni ; B. Sury

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p. 303-308

The Polish Digital Mathematics Library

The number of unsieved integers up to x

Andrew Granville ; K. Soundararajan

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p. 305-328

The Polish Digital Mathematics Library

On the mean squared modulus of a Dirichlet L-function over a short segment of the critical line

N. Watt

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p. 307-403

The Polish Digital Mathematics Library

Algebraic independence of elements from ℂₚ over ℚₚ, II

Peter Bundschuh ; V. G. Chirskii

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p. 309-326

The Polish Digital Mathematics Library

On fluctuations in the mean of a sum-of-divisors function

Y.-F. S. Pétermann

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p. 309-311

The Polish Digital Mathematics Library

A note on circular distributions

Soogil Seo

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p. 313-322

The Polish Digital Mathematics Library

Arithmetic properties of numbers with restricted digits

William D. Banks ; Igor E. Shparlinski

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p. 313-332

The Polish Digital Mathematics Library

The Erdős Theorem and the Halberstam Theorem in function fields

Yu-Ru Liu

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p. 323-330

The Polish Digital Mathematics Library

Number of prime divisors in a product of consecutive integers

Shanta Laishram ; T. N. Shorey

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p. 327-341

The Polish Digital Mathematics Library

On higher-power moments of E(t)

Wenguang Zhai

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p. 329-348

The Polish Digital Mathematics Library

Des obstructions globales à la descente des revêtements

J.-M. Couveignes ; Nicolas Ros

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p. 331-348

The Polish Digital Mathematics Library

Sums of values of a rational function

Bjorn Poonen

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p. 333-343

The Polish Digital Mathematics Library

Perfect powers in arithmetic progression. A note on the inhomogeneous case

L. Hajdu

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p. 343-349

The Polish Digital Mathematics Library

2-extensions of ℚ with trivial 2-primary Hilbert kernel

Mikaël Lescop

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p. 345-366

The Polish Digital Mathematics Library

On the square-free sieve

H. A. Helfgott

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p. 349-402

The Polish Digital Mathematics Library

Hilbert symbols as maps of functors

Kevin Hutchinson ; Dermot Ryan

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p. 349-368

The Polish Digital Mathematics Library

Diophantine equations E(x) = P(x) with E exponential, P polynomial

Wolfgang M. Schmidt

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p. 351-362

The Polish Digital Mathematics Library

On the number of equivalence classes of binary forms of given degree and given discriminant

Attila Bérczes ; Jan-Hendrik Evertse ; Kálm'an Győry

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p. 363-399

The Polish Digital Mathematics Library

On higher-power moments of Δ(x)

Wenguang Zhai

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p. 367-395

The Polish Digital Mathematics Library

Generalization of two identities in Ramanujan's lost notebook

Youn-Seo Choi

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p. 369-389

The Polish Digital Mathematics Library

Ranks of quadratic twists of an elliptic curve

Dongho Byeon

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p. 391-396

The Polish Digital Mathematics Library

Correction to "A note on the existence of certain infinite families of imaginary quadratic fields" (Acta Arith. 110 (2003), 37-43)

Iwao Kimura

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p. 397

The Polish Digital Mathematics Library

Explicit formulas for strong Davenport pairs

Antonia W. Bluher

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p. 397-403

The Polish Digital Mathematics Library

On values of the Mahler measure in a quadratic field (solution of a problem of Dixon and Dubickas)

A. Schinzel

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p. 401-408

The Polish Digital Mathematics Library

Corrigendum to the paper "On the greatest common divisor of two univariate polynomials, II" (Acta Arith. 98 (2001), 95-106)

A. Schinzel

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p. 403

The Polish Digital Mathematics Library

Lower bound of real primitive L-function at s=1

Chun-Gang Ji ; Hong-Wen Lu

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p. 405-409

The Polish Digital Mathematics Library

New solutions to xyz = x+y+z = 1 in integers of quartic fields

H. G. Grundman ; L. L. Hall

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p. 405-409

The Polish Digital Mathematics Library