bwmeta1.element.bwnjournal-journal-aa, Tome 130 (2007)

Sommaire

On the products of Hecke L-functions of holomorphic cusp forms

Bogdan Szydło

Access to full text
Full (PDF)

p. 1-25

The Polish Digital Mathematics Library

Hybrid mean value for a generalization of a problem of D. H. Lehmer

Huaning Liu ; Wenpeng Zhang

Access to full text
Full (PDF)

p. 1-17

The Polish Digital Mathematics Library

Distributions and Euler systems in global function fields

Sunghan Bae ; Linsheng Yin

Access to full text
Full (PDF)

p. 1-17

The Polish Digital Mathematics Library

On the equation

n (n + d) \dots (n + (i ₀ - 1) d) (n + (i ₀ + 1) d) \dots (n + (k - 1) d) = y^{l}

with 0 < i₀ < k-1

N. Saradha ; T. N. Shorey

Access to full text
Full (PDF)

p. 1-21

The Polish Digital Mathematics Library

Equality in Pollard's theorem on set addition of congruence classes

E. Nazarewicz ; M. O'Brien ; M. O'Neill ; C. Staples

Access to full text
Full (PDF)

p. 1-15

The Polish Digital Mathematics Library

Factors of alternating sums of products of binomial and q-binomial coefficients

Victor J. W. Guo ; Frédéric Jouhet ; Jiang Zeng

Access to full text
Full (PDF)

p. 17-31

The Polish Digital Mathematics Library

On the number of pairs of binary forms with given degree and given resultant

Attila Bérczes ; Jan-Hendrik Evertse ; Kálmán Győry

Access to full text
Full (PDF)

p. 19-54

The Polish Digital Mathematics Library

An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field

Antonio Cafure ; Guillermo Matera

Access to full text
Full (PDF)

p. 19-35

The Polish Digital Mathematics Library

Triangular numbers whose sum of divisors is also triangular

Douglas E. Iannucci ; Florian Luca

Access to full text
Full (PDF)

p. 23-40

The Polish Digital Mathematics Library

On the mean square of the error term for an extended Selberg class

Anne de Roton

Access to full text
Full (PDF)

p. 27-55

The Polish Digital Mathematics Library

Beta-numbers whose conjugates lie near the unit circle

DoYong Kwon

Access to full text
Full (PDF)

p. 33-47

The Polish Digital Mathematics Library

Algebraic relations for reciprocal sums of Fibonacci numbers

Carsten Elsner ; Shun Shimomura ; Iekata Shiokawa

Access to full text
Full (PDF)

p. 37-60

The Polish Digital Mathematics Library

Generalized modular forms representable as eta products

Wissam Raji

Access to full text
Full (PDF)

p. 41-51

The Polish Digital Mathematics Library

Square-classes in Lehmer sequences having odd parameters and their applications

Jiagui Luo ; Pingzhi Yuan

Access to full text
Full (PDF)

p. 49-62

The Polish Digital Mathematics Library

The first negative Hecke eigenvalue of a Siegel cusp form of genus two

Winfried Kohnen ; Jyoti Sengupta

Access to full text
Full (PDF)

p. 53-62

The Polish Digital Mathematics Library

On some special forms of simultaneous Pell equations

Zhigang Li ; Jianye Xia ; Pingzhi Yuan

Access to full text
Full (PDF)

p. 55-67

The Polish Digital Mathematics Library

Extreme values of symmetric power L-functions at 1

Y.-K. Lau ; J. Wu

Access to full text
Full (PDF)

p. 57-76

The Polish Digital Mathematics Library

Some explicit constructions of sets with more sums than differences

Peter V. Hegarty

Access to full text
Full (PDF)

p. 61-77

The Polish Digital Mathematics Library

Density of rational points on elliptic fibrations

Ritabrata Munshi

Access to full text
Full (PDF)

p. 63-70

The Polish Digital Mathematics Library

Simultaneous approximation of a real number by all conjugates of an algebraic number

Guillaume Alain

Access to full text
Full (PDF)

p. 63-70

The Polish Digital Mathematics Library

Crible étrange et sommes de Kloosterman

Jimena Sivak-Fischler

Access to full text
Full (PDF)

p. 69-100

The Polish Digital Mathematics Library

On the Diophantine equation

x^{2} + q^{2 m} = 2 y^{p}

Sz. Tengely

Access to full text
Full (PDF)

p. 71-86

The Polish Digital Mathematics Library

An extension of a theorem of Euler

Noriko Hirata-Kohno ; Shanta Laishram ; T. N. Shorey ; R. Tijdeman

Access to full text
Full (PDF)

p. 71-102

The Polish Digital Mathematics Library

Unitarily graded field extensions

Holger Brenner ; Almar Kaid ; Uwe Storch

Access to full text
Full (PDF)

p. 77-98

The Polish Digital Mathematics Library

Low-discrepancy sequences using duality and global function fields

Harald Niederreiter ; Ferruh Özbudak

Access to full text
Full (PDF)

p. 79-97

The Polish Digital Mathematics Library

Rang de l'image du groupe des unités et polynômes lacunaires

Gabriele Ranieri

Access to full text
Full (PDF)

p. 87-96

The Polish Digital Mathematics Library

The torsion elements in K₂ of some local fields

Xuejun Guo

Access to full text
Full (PDF)

p. 97-102

The Polish Digital Mathematics Library

Euler sums with Dirichlet characters

Minking Eie ; Wen-Chin Liaw

Access to full text
Full (PDF)

p. 99-125

The Polish Digital Mathematics Library

Mollin's conjecture

Dongho Byeon ; Myoungil Kim ; Jungyun Lee

Access to full text
Full (PDF)

p. 99-114

The Polish Digital Mathematics Library

Ratios of congruent numbers

Ashvin Rajan ; François Ramaroson

Access to full text
Full (PDF)

p. 101-106

The Polish Digital Mathematics Library

Mixed sums of squares and triangular numbers

Zhi-Wei Sun

Access to full text
Full (PDF)

p. 103-113

The Polish Digital Mathematics Library

Sums of two relatively prime cubes

R. C. Baker

Access to full text
Full (PDF)

p. 103-146

The Polish Digital Mathematics Library

On a mixed Littlewood conjecture in Diophantine approximation

Yann Bugeaud ; Michael Drmota ; Bernard de Mathan

Access to full text
Full (PDF)

p. 107-124

The Polish Digital Mathematics Library

The simultaneous Pell equations y²-Dz² = 1 and x²-2Dz² = 1

Xiaolei Dong ; W. C. Shiu ; C. I. Chu ; Zhenfu Cao

Access to full text
Full (PDF)

p. 115-123

The Polish Digital Mathematics Library

Asymptotic formula for sum-free sets in abelian groups

R. Balasubramanian ; Gyan Prakash

Access to full text
Full (PDF)

p. 115-124

The Polish Digital Mathematics Library

Sequences with bounded l.c.m. of each pair of terms, III

Yong-Gao Chen ; Li-Xia Dai

Access to full text
Full (PDF)

p. 125-133

The Polish Digital Mathematics Library

Sur la quantité de nombres économiques

Jean-Marie De Koninck ; Nicolas Doyon ; Florian Luca

Access to full text
Full (PDF)

p. 125-143

The Polish Digital Mathematics Library

Sharp bounds for the number of solutions to simultaneous Pellian equations

P. G. Walsh

Access to full text
Full (PDF)

p. 125-137

The Polish Digital Mathematics Library

A criterion for periodicity of multi-continued fraction expansion of multi-formal Laurent series

Zongduo Dai ; Ping Wang ; Kunpeng Wang ; Xiutao Feng

Access to full text
Full (PDF)

p. 127-140

The Polish Digital Mathematics Library

Linear equations with the Euler totient function

Florian Luca ; Pantelimon Stănică

Access to full text
Full (PDF)

p. 135-147

The Polish Digital Mathematics Library

Diagonal equations of different degrees over p-adic fields

Michael P. Knapp

Access to full text
Full (PDF)

p. 139-154

The Polish Digital Mathematics Library

Parameterized families of quadratic number fields with 3-rank at least 2

Carl Erickson ; Nathan Kaplan ; Neil Mendoza ; Allison M. Pacelli ; Todd Shayler

Access to full text
Full (PDF)

p. 141-147

The Polish Digital Mathematics Library

On the equation x² + dy² = Fₙ

Christian Ballot ; Florian Luca

Access to full text
Full (PDF)

p. 145-155

The Polish Digital Mathematics Library

Three-dimensional symmetric shift radix systems

Andrea Huszti ; Klaus Scheicher ; Paul Surer ; Jörg M. Thuswaldner

Access to full text
Full (PDF)

p. 147-166

The Polish Digital Mathematics Library

Two Diophantine approaches to the irreducibility of certain trinomials

M. Filaseta ; F. Luca ; P. Stănică ; R. G. Underwood

Access to full text
Full (PDF)

p. 149-156

The Polish Digital Mathematics Library

Representation functions, Sidon sets and bases

G. Grekos ; L. Haddad ; C. Helou ; J. Pihko

Access to full text
Full (PDF)

p. 149-156

The Polish Digital Mathematics Library

On the DDT theorem

G. Bareikis ; E. Manstavičius

Access to full text
Full (PDF)

p. 155-168

The Polish Digital Mathematics Library

The distribution of zeros of Epstein zeta functions over GLₙ

Riad Masri

Access to full text
Full (PDF)

p. 157-166

The Polish Digital Mathematics Library

On the number of terms of a composite polynomial

Umberto Zannier

Access to full text
Full (PDF)

p. 157-167

The Polish Digital Mathematics Library

Some identities involving the Dirichlet L-function

Zhefeng Xu ; Wenpeng Zhang

Access to full text
Full (PDF)

p. 157-166

The Polish Digital Mathematics Library

A family of pseudorandom binary sequences constructed by the multiplicative inverse

Huaning Liu

Access to full text
Full (PDF)

p. 167-180

The Polish Digital Mathematics Library

Rational points on certain elliptic surfaces

Maciej Ulas

Access to full text
Full (PDF)

p. 167-185

The Polish Digital Mathematics Library

Heights of powers of Newman and Littlewood polynomials

Artāras Dubickas

Access to full text
Full (PDF)

p. 167-176

The Polish Digital Mathematics Library

Trinômes irréductibles résolubles sur un corps de nombres

Julien Angeli

Access to full text
Full (PDF)

p. 169-178

The Polish Digital Mathematics Library

Small solutions of cubic equations with prime variables in arithmetic progressions

Haigang Zhou ; Tianze Wang

Access to full text
Full (PDF)

p. 169-193

The Polish Digital Mathematics Library

A new construction of (t,s)-sequences and some improved bounds on their quality parameter

David J. S. Mayor ; Harald Niederreiter

Access to full text
Full (PDF)

p. 177-191

The Polish Digital Mathematics Library

Imaginary quadratic fields satisfying the Hilbert-Speiser type condition for a small prime p

Humio Ichimura ; Hiroki Sumida-Takahashi

Access to full text
Full (PDF)

p. 179-191

The Polish Digital Mathematics Library

On the arithmetic of certain modular curves

Daeyeol Jeon ; Chang Heon Kim

Access to full text
Full (PDF)

p. 181-193

The Polish Digital Mathematics Library

A quadratic lower bound for subset sums

Matt DeVos ; Luis Goddyn ; Bojan Mohar ; Robert Šámal

Access to full text
Full (PDF)

p. 187-195

The Polish Digital Mathematics Library

The weight of half-integral weight modular forms with few non-vanishing coefficients mod l

Dohoon Choi ; Timothy Kilbourn

Access to full text
Full (PDF)

p. 193-197

The Polish Digital Mathematics Library

Prime numbers of the form p = m²+n²+1 in short intervals

Kaisa Matomäki

Access to full text
Full (PDF)

p. 193-200

The Polish Digital Mathematics Library

On a class of equations with special degrees over finite fields

Wei Cao ; Qi Sun

Access to full text
Full (PDF)

p. 195-202

The Polish Digital Mathematics Library

Compact integers and factorials

Vladimir Shevelev

Access to full text
Full (PDF)

p. 195-236

The Polish Digital Mathematics Library

Composite positive integers with an average prime factor

Florian Luca ; Francesco Pappalardi

Access to full text
Full (PDF)

p. 197-201

The Polish Digital Mathematics Library

On the elements of prime power order in K₂ of a number field

Kejian Xu

Access to full text
Full (PDF)

p. 199-203

The Polish Digital Mathematics Library

On the arithmetic of genus two fibrations

Mustafa D. Kaba ; Hurşit Önsiper

Access to full text
Full (PDF)

p. 201-207

The Polish Digital Mathematics Library

A congruence involving the quotients of Euler and its applications (II)

T. X. Cai ; X. D. Fu ; X. Zhou

Access to full text
Full (PDF)

p. 203-214

The Polish Digital Mathematics Library

On the estimates of double exponential sums

Hong-Quan Liu

Access to full text
Full (PDF)

p. 203-247

The Polish Digital Mathematics Library

Units in some parametric families of quartic fields

Franck Leprévost ; Michael Pohst ; Andreas Schöpp

Access to full text
Full (PDF)

p. 205-216

The Polish Digital Mathematics Library

The Weil height in terms of an auxiliary polynomial

Charles L. Samuels

Access to full text
Full (PDF)

p. 209-221

The Polish Digital Mathematics Library

The Ostrogradsky series and related Cantor-like sets

Sergio Albeverio ; Oleksandr Baranovskyi ; Mykola Pratsiovytyi ; Grygoriy Torbin

Access to full text
Full (PDF)

p. 215-230

The Polish Digital Mathematics Library

On density modulo 1 of some expressions containing algebraic integers

Roman Urban

Access to full text
Full (PDF)

p. 217-229

The Polish Digital Mathematics Library

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

Hongze Li

Access to full text
Full (PDF)

p. 223-233

The Polish Digital Mathematics Library

Infinite sums as linear combinations of polygamma functions

Kh. Hessami Pilehrood ; T. Hessami Pilehrood

Access to full text
Full (PDF)

p. 231-254

The Polish Digital Mathematics Library

Capitulation des 2-classes d'idéaux de certains corps biquadratiques cycliques

Abdelmalek Azizi ; Mohammed Talbi

Access to full text
Full (PDF)

p. 231-248

The Polish Digital Mathematics Library

Functoriality and number of solutions of congruences

Henry H. Kim

Access to full text
Full (PDF)

p. 235-243

The Polish Digital Mathematics Library

Unsolvability of the Pell minus-equation for certain odd discriminants

Gerhard A. Bachmaier

Access to full text
Full (PDF)

p. 237-238

The Polish Digital Mathematics Library

Exponential sums of the form

\sum χ {(x)}^{a x} ζ_{m}^{b x}

S. Gurak

Access to full text
Full (PDF)

p. 239-259

The Polish Digital Mathematics Library

Inverse zero-sum problems

Weidong Gao ; Alfred Geroldinger ; Wolfgang A. Schmid

Access to full text
Full (PDF)

p. 245-279

The Polish Digital Mathematics Library

The equation n(n+d) ⋯ (n+(k-1)d) = by² with ω(d) ≤ 6 or d ≤ 10¹⁰

Shanta Laishram ; T. N. Shorey

Access to full text
Full (PDF)

p. 249-305

The Polish Digital Mathematics Library

On the distribution of

(\binom{C n}{D n})

modulo p

Yossi Moshe

Access to full text
Full (PDF)

p. 249-271

The Polish Digital Mathematics Library

Representations of integers as sums of primes from a Beatty sequence

William D. Banks ; Ahmet M. Güloğlu ; C. Wesley Nevans

Access to full text
Full (PDF)

p. 255-275

The Polish Digital Mathematics Library

Lucas sequences whose nth term is a square or an almost square

A. Bremner ; N. Tzanakis

Access to full text
Full (PDF)

p. 261-280

The Polish Digital Mathematics Library

Zero-density estimate of L-functions attached to Maass forms

A. Sankaranarayanan ; J. Sengupta

Access to full text
Full (PDF)

p. 273-284

The Polish Digital Mathematics Library

Nineteen quaternary quadratic forms

Ayşe Alaca ; Şaban Alaca ; Mathieu F. Lemire ; Kenneth S. Williams

Access to full text
Full (PDF)

p. 277-310

The Polish Digital Mathematics Library

MacMahon's partition analysis XI: Broken diamonds and modular forms

George E. Andrews ; Peter Paule

Access to full text
Full (PDF)

p. 281-294

The Polish Digital Mathematics Library

Solving Ramanujan's differential equations for Eisenstein series via a first order Riccati equation

James M. Hill ; Bruce C. Berndt ; Tim Huber

Access to full text
Full (PDF)

p. 281-294

The Polish Digital Mathematics Library

A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary

Werner Georg Nowak

Access to full text
Full (PDF)

p. 285-299

The Polish Digital Mathematics Library

The irrationality of some number theoretical series

Jan-Christoph Schlage-Puchta

Access to full text
Full (PDF)

p. 295-303

The Polish Digital Mathematics Library

Congruence and uniqueness of certain Markoff numbers

Ying Zhang

Access to full text
Full (PDF)

p. 295-301

The Polish Digital Mathematics Library

The Galois relation x₁ = x₂ + x₃ for finite simple groups

Kurt Girstmair

Access to full text
Full (PDF)

p. 301-303

The Polish Digital Mathematics Library

A q-analogue of Lehmer's congruence

Hao Pan

Access to full text
Full (PDF)

p. 303-318

The Polish Digital Mathematics Library

Iwasawa λ-invariants and Mordell-Weil ranks of abelian varieties with complex multiplication

Takashi Fukuda ; Keiichi Komatsu ; Shuji Yamagata

Access to full text
Full (PDF)

p. 305-307

The Polish Digital Mathematics Library

Ramanujan's cubic continued fraction revisited

Heng Huat Chan ; Kok Ping Loo

Access to full text
Full (PDF)

p. 305-313

The Polish Digital Mathematics Library

On Erdős-Ginzburg-Ziv inverse theorems

D. J. Grynkiewicz ; O. Ordaz ; M. T. Varela ; F. Villarroel

Access to full text
Full (PDF)

p. 307-318

The Polish Digital Mathematics Library

On Siegel-Shidlovskii's theory for q-difference equations

Masaaki Amou ; Tapani Matala-aho ; Keijo Väänänen

Access to full text
Full (PDF)

p. 309-335

The Polish Digital Mathematics Library

Products of an arbitrary number of Hecke eigenforms

Brad A. Emmons ; Dominic Lanphier

Access to full text
Full (PDF)

p. 311-319

The Polish Digital Mathematics Library

Uniformizing functions for certain Shimura curves, in the case D=6

P. Bayer ; A. Travesa

Access to full text
Full (PDF)

p. 315-339

The Polish Digital Mathematics Library

Effective solution of the D(-1)-quadruple conjecture

Andrej Dujella ; Alan Filipin ; Clemens Fuchs

Access to full text
Full (PDF)

p. 319-338

The Polish Digital Mathematics Library

A supplement to Scholz's reciprocity law

Franz Lemmermeyer

Access to full text
Full (PDF)

p. 319-324

The Polish Digital Mathematics Library

Minimal polynomials of some beta-numbers and Chebyshev polynomials

DoYong Kwon

Access to full text
Full (PDF)

p. 321-332

The Polish Digital Mathematics Library

Distribution of residues modulo p

S. Gun ; Florian Luca ; P. Rath ; B. Sahu ; R. Thangadurai

Access to full text
Full (PDF)

p. 325-333

The Polish Digital Mathematics Library

Generalised Mertens and Brauer-Siegel theorems

Philippe Lebacque

Access to full text
Full (PDF)

p. 333-350

The Polish Digital Mathematics Library

Polynomial modular n-queens solutions

Jordan Bell

Access to full text
Full (PDF)

p. 335-339

The Polish Digital Mathematics Library

On Fleck quotients

Zhi-Wei Sun ; Daqing Wan

Access to full text
Full (PDF)

p. 337-363

The Polish Digital Mathematics Library

Quartic diophantine chains

Ajai Choudhry ; Jarosław Wróblewski

Access to full text
Full (PDF)

p. 339-348

The Polish Digital Mathematics Library

Siegel zeros of Eisenstein series

Joseph Hundley

Access to full text
Full (PDF)

p. 341-356

The Polish Digital Mathematics Library

Binary linear forms over finite sets of integers

Melvyn B. Nathanson ; Kevin O'Bryant ; Brooke Orosz ; Imre Ruzsa ; Manuel Silva

Access to full text
Full (PDF)

p. 341-361

The Polish Digital Mathematics Library

The D(1)-extensions of D(-1)-triples 1,2,c and integer points on the attached elliptic curves

Yasutsugu Fujita

Access to full text
Full (PDF)

p. 349-375

The Polish Digital Mathematics Library

Arithmetical applications of an identity for the Vandermonde determinant

D. S. Ramana

Access to full text
Full (PDF)

p. 351-359

The Polish Digital Mathematics Library

Ranks of elliptic curves in cubic extensions

Tim Dokchitser

Access to full text
Full (PDF)

p. 357-360

The Polish Digital Mathematics Library

On the Siegel-Tatuzawa-Hoffstein theorem

Yong-Gao Chen

Access to full text
Full (PDF)

p. 361-367

The Polish Digital Mathematics Library

Rational points on twists of X₀(63)

Nils Bruin ; Julio Fernández ; Josep González ; Joan-C. Lario

Access to full text
Full (PDF)

p. 361-385

The Polish Digital Mathematics Library

Determinants of knots and Diophantine equations

A. Stoimenow

Access to full text
Full (PDF)

p. 363-387

The Polish Digital Mathematics Library

Some more long continued fractions, I

James Mc Laughlin ; Peter Zimmer

Access to full text
Full (PDF)

p. 365-389

The Polish Digital Mathematics Library

An improvement of an estimate for finite additive bases

G. Horváth

Access to full text
Full (PDF)

p. 369-380

The Polish Digital Mathematics Library

Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood

Peter Borwein ; Tamás Erdélyi

Access to full text
Full (PDF)

p. 377-384

The Polish Digital Mathematics Library

Sumsets without powerful numbers

Artūras Dubickas ; Andrius Stankevičius

Access to full text
Full (PDF)

p. 381-387

The Polish Digital Mathematics Library

On the height of algebraic numbers with real conjugates

John Garza

Access to full text
Full (PDF)

p. 385-389

The Polish Digital Mathematics Library

Combinatorial congruences and Stirling numbers

Zhi-Wei Sun

Access to full text
Full (PDF)

p. 387-398

The Polish Digital Mathematics Library

The 3-ranks of tame kernels of cubic cyclic number fields

Xuejun Guo

Access to full text
Full (PDF)

p. 389-395

The Polish Digital Mathematics Library

A characterization of rational numbers by p-adic Sylvester series expansions

Vichian Laohakosol ; Narakorn Rompurk Kanasri

Access to full text
Full (PDF)

p. 389-402

The Polish Digital Mathematics Library

Gauss's three squares theorem with almost prime variables

Guangshi Lü

Access to full text
Full (PDF)

p. 391-399

The Polish Digital Mathematics Library

A class number criterion for the equation

(x^{p} - 1) / (x - 1) = p y^{q}

Benjamin Dupuy

Access to full text
Full (PDF)

p. 391-401

The Polish Digital Mathematics Library

A characterization of covering equivalence

Hao Pan ; Zhi-Wei Sun

Access to full text
Full (PDF)

p. 397-402

The Polish Digital Mathematics Library

Quintuple products and Ramanujan's partition congruence p(11n+6) ≡ 0(mod 11)

Wenchang Chu

Access to full text
Full (PDF)

p. 403-409

The Polish Digital Mathematics Library

Poisson distribution for a sum of additive functions on shifted primes

Jonas Šiaulys ; Gediminas Stepanauskas

Access to full text
Full (PDF)

p. 403-414

The Polish Digital Mathematics Library