Sommaire du Fascicule no. 1

Multipoint method for generalized equations under mild differentiability conditions

Argyros, Ioannis K. ; Hilout, Saïd

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p. 7-19

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Some problems of analytic number theory on arithmetic semigroups

Harman, Glyn ; Matomäki, Kaisa

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p. 21-39

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Some estimates for the average of the error term of the Mertens product for arithmetic progressions

Languasco, Alessandro ; Zaccagnini, Alessandro

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p. 41-47

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Sums of almost equal prime squares

Li, Hongze ; Wu, Jie

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p. 49-65

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Tame (PLS)-spaces

Piszczek, Krzysztof

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p. 67-80

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Two exceptional classes of real numbers

Rath, Purusottam

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p. 81-91

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Wavelet characterization of Besov-Morrey and Triebel-Lizorkin-Morrey spaces

Sawano, Yoshihiro

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p. 93-107

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Stability of isometries in $p$-Banach spaces

Tabor, Jacek ; Tabor, Józef ; Żołdak, Marek

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p. 109-119

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On the zeros of functions in the Selberg class

Mukhopadhyay, Anirban ; Srinivas, Kotyada ; Rajkumar, Krishnan

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p. 121-130

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Moments for generalized Farey-Brocot partitions

Moshchevitin, Nikolay ; Vielhaber, Michael

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p. 131-157

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A Test for the Riemann Hypothesis

de Reyna, Juan Arias

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p. 159-170

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Explicit estimates of solutions of some Diophantine equations

Juricevic, Robert

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p. 171-194

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On the class number of a compositum of real quadratic fields: an approach via circular units

Kučera, Radan

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p. 179-189

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Summation methods and distribution of eigenvalues of Hecke operators

Gun, Sanoli ; Murty, M. Ram ; Rath, Purusottam

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p. 191-204

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Sums of Fourth Powers of Polynomials over a~Finite Field of Characteristic 3

Car, Mireille

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p. 195-220

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Polynomial parametrization of the solutions of diophantine equations of genus 0

Frisch, Sophie ; Lettl, Günter

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p. 205-209

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Hypergeometric transformations of linear forms in one logarithm

Viola, Carlo ; Zudilin, Wadim

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p. 211-222

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On a sequence of integers arising from simultaneous Pell equations

Luca, Florian ; Walsh, Peter Gareth

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p. 221-226

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Bernoulli numbers and zeros of $p$-adic $L$-functions

Metsänkylä, Tauno

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p. 223-235

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A Class of Modular Functions

Raji, Wissam

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p. 227-232

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Sums of two squares and one biquadrate

Dietmann, Rainer ; Elsholtz, Christian

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p. 233-234

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Corrigendum to "Refinements of Goldbach's conjecture, and the Generalized Riemann Hypothesis"

Granville, Andrew

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p. 235-237

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Counting Diophantine Approximations

Brüdern, Jörg

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p. 237-260

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Equidistribution modulo 1 and Salem numbers

Doche, Christophe ; Mendès France, Michel ; Ruch, Jean-Jacques

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p. 261-271

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Local variation of Euler products

Montgomery, Hugh L. ; Vaughan, Robert C.

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p. 273-288

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On certain arithmetic graphs and their applications to diophantine problems

Györy, Kálmán

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p. 289-314

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Quelques inégalités effectives entre des fonctions arithmétiques usuelles

Nicolas, Jean-Louis

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p. 315-334

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On the distribution of some means concerning the Euler function

Deshouillers, Jean-Marc ; Luca, Florian

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p. 335-344

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Sequences of Jacobian Varieties with Torsion Divisors of Quadratic Order

Patterson, Rodger D. ; van der Poorten, Alfred J. ; Williams, Hugh C.

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p. 345-360

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