bwmeta1.element.bwnjournal-journal-aa, Tome 92 (2000)

Sommaire

Theta functions of quadratic forms over imaginary quadratic fields

Olav K. Richter

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p. 1-9

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Algebraic independence of the values of Mahler functions satisfying implicit functional equations

Bernd Greuel

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p. 1-20

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A lattice point problem associated with two polynomials

Manfred Peter

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p. 1-52

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On approximation to real numbers by algebraic numbers

Tishchenko, K.

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p. 1-24

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Gauss sum for the adjoint representation of

G L_{n} (q)

and

S L_{n} (q)

Jeong, Yeon-Kwan ; Lee, In-Sok ; Oh, Hyekyoung ; Park, Kyung-Hwan

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p. 1-16

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Transcendence measure for η/ω

N. Saradha

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p. 11-25

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On the largest prime factor of integers

Jia, Chaohua ; Liu, Ming-Chit

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p. 17-48

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Hausdorff dimension and a generalized form of simultaneous Diophantine approximation

B. P. Rynne ; H. Dickinson

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p. 21-36

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On the diophantine equation

f (a^{m}, y) = b^{n}

Corvaja, Pietro ; Zannier, Umberto

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p. 25-40

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Algebraic independence of polynomials

Ivica Gusić

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p. 27-29

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On a system of two diophantine inequalities with prime numbers

Wenguang Zhai

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p. 31-46

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Zeros of Dirichlet L-series on the critical line

Peter J. Bauer

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p. 37-52

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The Lucas congruence for Stirling numbers of the second kind

Sánchez-Peregrino, Roberto

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p. 41-52

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A new irrationality measure for ζ(3)

Masayoshi Hata

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p. 47-57

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Quartic power series in

_{3} ((T^{- 1}))

with bounded partial quotients

Lasjaunias, Alain

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p. 49-59

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Existence of a non-entire twist for a class of L-functions

G. Molteni

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p. 53-65

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Additive problems with prime numbers of special type

D. I. Tolev

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p. 53-88

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On the Barban-Davenport-Halberstam theorem: XIII

Hooley, C.

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p. 53-86

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Sur certaines séries entières particulières

Hubert Delange

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p. 59-70

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Majoration du premier zéro de la fonction zêta de Dedekind

Sami Omar

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p. 61-65

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Exponential sums with rational function entries

Cochrane, Todd ; Zheng, Zhiyong

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p. 67-95

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On explicit relations between cyclotomic numbers

Marc Conrad

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p. 67-76

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The exceptional set of Goldbach numbers (II)

Hongze Li

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p. 71-88

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Approximation d'un nombre réel par des nombres algébriques de degré donné

Yann Bugeaud ; Olivier Teulié

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p. 77-86

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Irreducibility of the iterates of a quadratic polynomial over a field

Mohamed Ayad ; Donald L. McQuillan

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p. 87-97

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A parametric family of elliptic curves

Dujella, Andrej

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p. 87-101

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Indecomposable integral quadratic forms over global function fields

Larry J. Gerstein

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p. 89-95

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Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus

Harald Niederreiter ; Igor E. Shparlinski

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p. 89-98

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Some results in additive number theory I: The critical pair theory

Yahya Ould Hamidoune

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p. 97-119

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Ray class fields of global function fields with many rational places

Roland Auer

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p. 97-122

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The Fekete-Szegő theorem with splitting conditions: Part I

Robert Rumely

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p. 99-116

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On the representation of integers as sums of distinct terms from a fixed set

Norbert Hegyvári

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p. 99-104

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Cycle integrals of Maass forms of weight 0 and Fourier coefficients of Maass forms of weight 1/2

Biró, A.

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p. 103-152

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A remark on arithmetic equivalence and the normset

Jim Coykendall

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p. 105-108

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On the restricted Waring problem over

_{2^{n}} [t]

Luis Gallardo

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p. 109-113

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Tensor products of hermitian lattices

Renaud Coulangeon

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p. 115-130

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A note on evaluations of some exponential sums

Marko J. Moisio

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p. 117-119

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Explicit moduli for curves of genus 2 with real multiplication by ℚ(√5)

John Wilson

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p. 121-138

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A mean value density theorem of additive number theory

Friedrich Roesler

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p. 121-138

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Generalized Vandermonde determinants

Schlickewei, Hans ; Viola, Carlo

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p. 123-137

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Asymptotic aspects of the Diophantine equation

p^{k} x^{n k} - z^{k} = l

Wolfgang Jenkner

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p. 131-140

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On continued fractions and diophantine approximation in power series fields

Schmidt, Wolfgang

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p. 139-166

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A note on a result of Bateman and Chowla

P. Codecà ; M. Nair

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p. 139-148

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Rabinowitsch revisited

Andrew Granville ; Richard A. Mollin

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p. 139-153

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On the hybrid mean value of Dedekind sums and Hurwitz zeta-function

Wenpeng Zhang

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p. 141-152

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On sets of natural numbers without solution to a noninvariant linear equation

Tomasz Schoen

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p. 149-155

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On the factors

Φ^{(j δ / m)}

of the period polynomial for finite fields

S. Gurak

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p. 153-167

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θ-congruent numbers and elliptic curves

Kan, Makiko

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p. 153-160

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The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields

Qin Yue ; Keqin Feng

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p. 155-165

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Certain mean values and non-vanishing of automorphic L-functions with large level

Yuichi Kamiya

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p. 157-176

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Connection between Schinzel’s conjecture and divisibility of the class number

h_{p}^{+}

Jakubec, Stanislav

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p. 161-171

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A generalization of Sturmian sequences: Combinatorial structure and transcendence

Risley, Rebecca ; Zamboni, Luca

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p. 167-184

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On the Iwasawa λ-invariants of real quadratic fields

Jae Moon Kim ; Seung Ik Oh

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p. 167-174

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The major arcs approximation of an exponential sum over primes

D. A. Goldston

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p. 169-179

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Kloosterman sums and primitive elements in Galois fields

Cohen, Stephen

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p. 173-201

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Comparaison des ordres maximaux dans les groupes GL(n,ℤ) et Sₙ

Jean-Louis Nicolas

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p. 175-203

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On rational Morley triangles

Andrew Bremner ; Joseph R. Goggins ; Michael J.T. Guy ; Richard K. Guy

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p. 177-187

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Collatz cycles with few descents

T. Brox

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p. 181-188

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Prime values of reducible polynomials, I

Chen, Yong-Gao ; Ruzsa, Imre

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p. 185-193

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Reciprocity laws for generalized higher dimensional Dedekind sums

Robin Chapman

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p. 189-199

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Magic p-dimensional cubes of order n ≢ 2 (mod 4)

Marián Trenkler

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p. 189-194

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Multiple exponential sums with monomials

Xiaodong Cao ; Wenguang Zhai

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p. 195-213

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Frontière du fractal de Rauzy et système de numération complexe

Messaoudi, Ali

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p. 195-224

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The rational points close to a curve II

M. N. Huxley

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p. 201-219

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Further improvements in Waring's problem, IV: Higher powers

Vaughan, R. ; Wooley, T.

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p. 203-285

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The Siegel-Walfisz theorem for Rankin-Selberg L-functions associated with two cusp forms

Yumiko Ichihara

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p. 215-227

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Estimation of exponential sums of polynomials of higher degrees II

Yangbo Ye

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p. 221-235

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On the maximal density of sum-free sets

Łuczak, Tomasz ; Schoen, Tomasz

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p. 225-229

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The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes

Hongze Li

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p. 229-237

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Denser Egyptian fractions

Martin, Greg

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p. 231-260

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Theta correspondence and Hecke operators relative to a quadratic extension

Ze-Li Dou

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p. 237-255

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Symboles des restes quadratiques des discriminants dans les extensions modérément ramifiées

A. Movahhedi ; M. Zahidi

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p. 239-250

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An inverse theorem mod p

Yahya Ould Hamidoune ; Øystein J. Rødseth

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p. 251-262

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Generation of class fields by the modular function

j_{1, 12}

Kuk Jin Hong ; Ja Kyung Koo

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p. 257-291

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The Diophantine equation f(x) = g(y)

Bilu, Yuri ; Tichy, Robert

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p. 261-288

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On sums of two kth powers: an asymptotic formula for the mean square of the error term

M. Kühleitner

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p. 263-276

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Estimates for complete multiple exponential sums

J. H. Loxton

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p. 277-290

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The Waring-Goldbach problem for cubes

Ren, Xiumin

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p. 287-301

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Purely cubic complex function fields with small units

Scheidler, R.

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p. 289-304

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A Schinzel theorem on continued fractions in function fields

Weiqun Hu

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p. 291-302

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A conditional density theorem for the zeros of the Riemann zeta-function

Alessandro Zaccagnini

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p. 293-301

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Non-vanishing of modular L-functions on a disc

Amir Akbary

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p. 303-318

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A lower bound for the rank of

J_{0} (q)

Kowalski, E. ; Michel, P.

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p. 303-343

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Invariants des courbes de Frey-Hellegouarch et grands groupes de Tate-Shafarevich

Abderrahmane Nitaj

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p. 303-327

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The Mellin transform of powers of the zeta-function

Ivić, Aleksandar ; Jutila, Matti ; Motohashi, Yoichi

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p. 305-342

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Inclusion of CM-fields and divisibility ofrelative class numbers

Ryotaro Okazaki

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p. 319-338

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Universal normal bases for the abelian closure of the field of rational numbers

Dirk Hachenberger

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p. 329-341

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Minoration de la hauteur normalisée des hypersurfaces

Francesco Amoroso ; Sinnou David

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p. 339-366

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On finite pseudorandom binary sequences IV: The Liouville function, II

Cassaigne, Julien ; Ferenczi, Sébastien ; Mauduit, Christian ; Rivat, Joël ; Sárközy, András

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p. 343-359

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The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, II

Wladimir de Azevedo Pribitkin

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p. 343-358

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Comparing the distribution of (nα)-sequences

Baxa, Christoph

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p. 345-363

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On the distribution of squares of integral quaternions

Gerald Kuba

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p. 359-372

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Polylogarithms and arithmetic function spaces

Lutz G. Lucht ; Anke Schmalmack

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p. 361-382

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On the vanishing of Iwasawa invariants of absolutely abelian p-extensions

Gen Yamamoto

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p. 365-371

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On irregularities of sums of integers

Benedek Valkó

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p. 367-381

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Families of Pisot numbers with negative trace

James McKee

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p. 373-385

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Inequalities concerning the function π(x): Applications

Laurenţiu Panaitopol

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p. 373-381

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A problem of Galambos on Engel expansions

Jun Wu

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p. 383-386

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Sur la capitulation des 2-classes d'idéaux de 𝕜 = ℚ (√(2pq),i) où p ≡ -q ≡ 1 mod 4

Azizi, Abdelmalek

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p. 383-399

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Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators

Harald Niederreiter ; Arne Winterhof

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p. 387-399

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Corrigendum to the paper "The number of solutions of the Mordell equation" (Acta Arith. 88 (1999), 173–179)

Dimitrios Poulakis

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p. 387-388

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