Number theory and related fields: in memory of Alf van der Poorten
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York
Name of Publisher, Distributor, etc.
Springer
Date of Publication, Distribution, etc.
c2013
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 395 p.: ill.; 25 cm
SERIES
Other Title Information
Springer proceedings in mathematics & statistics, 4912-9001
Other Title Information
volume 43
GENERAL NOTES
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"The International Number Theory Conference in memory of Alf van der Poorten was held in Newcastle, NSW, Australia, 12-16 March 2012" -- Preface
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Includes bibliographical references
NOTES PERTAINING TO TITLE AND STATEMENT OF RESPONSIBILITY
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Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin, editors
ORIGINAL VERSION NOTE
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1
CONTENTS NOTE
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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