عنوان

Number theory and related fields: in memory of Alf van der Poorten

English

Number theory and related fields: in memory of Alf van der Poorten

New York

Springer

c2013

x, 395 p.: ill.; 25 cm

Springer proceedings in mathematics & statistics, 4912-9001

volume 43

"The International Number Theory Conference in memory of Alf van der Poorten was held in Newcastle, NSW, Australia, 12-16 March 2012" -- Preface

Includes bibliographical references

Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin, editors

1

Life and mathematics of Alfred Jacobus van der Poorten )2491-0102( / David Hunt -- Ramanujan-Sato-like series / Gert Ahmkvist and Jesus Guillera -- On the sign of the real part of the Riemann zeta function / Juan Arias de Reyna, Richard P. Brent and Jan van de Lune -- Additive combinatorics: with a view towards computer science and cryptography-an exposition / Khodakhast Bibak -- Transcendence of stammering continued fractions / Yann Bugeaud -- Algebraic independence of infinite products and their derivatives / Peter Bundschuh -- Small representations by indefinite ternary quadratic forms / J.B. Friedlander and H. Iwaniec -- Congruences for Andrews' spt-function modulo 06723 and extension of Atkin's Hecke-type partition congruences / F.G. Garvan -- Continued fractions and dedekind sums for function fields / Yoshinori Hamahata -- Burgress's bounds for character sums / D.R. Heath-Brown -- Structured Hdamard conjecture / Ilias S. Kotsireas -- Families of cubic thue equations with effective bounds for the solutions / Claude Levesque and Michel Waldschmidt -- Consequences of a factorization theorem for generalized exponential polynominals with infinitely many integer zeroes / Ouamporn Phuksuwan and Vichian Laohakosol -- On balanced subgroups of the multiplicative group / Carl Pomerance and Douglas Ulmer -- Some extensions of the Lucas functions / E.L. Roettger, H.C. Williams, and R.K. Guy -- The impact of number theory and computer-aided mathematics on solving the Hadamard matrix conjecture / Jennifer Seberry -- Description of generalized continued fractions by finite automata / Jeffrey Shallit -- On prime factors of terms of linear recurrence sequences / C.L. Stewart -- Some notes on weighted sum formulae for double zeta values / James Wan -- Period)d(ness of L-values / Wadim Zudilin

Congresses ، Number theory

TI

AU Borwein, Jonathan M

AU Shparlinski, Igor E

AU Zudilin, Wadim

SE