Number theory and related fields : in memory of Alf van der Poorten / Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin, editors.
Collects contributions based on the proceedings of "International Number Theory Conference in Memory of Alf van der Poorten." These proceedings will presents high quality research articles and comprehensive surveys from distinguished mathematicians in order to promote number theory and rel...
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| Other Authors: | , , |
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| Format: | Ebook |
| Language: | English |
| Published: |
New York :
Springer,
[2013]
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| Series: | Springer proceedings in mathematics & statistics ;
v.43. |
| Subjects: | |
| Online Access: | Springer eBooks |
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| 245 | 0 | 0 | |a Number theory and related fields : |b in memory of Alf van der Poorten / |c Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin, editors. |
| 264 | 1 | |a New York : |b Springer, |c [2013] | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (x, 395 pages) : |b illustrations. | ||
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| 490 | 1 | |a Springer proceedings in mathematics & statistics ; |v v.43 | |
| 500 | |a "The International Number Theory Conference in memory of Alf van der Poorten was held in Newcastle, NSW, Australia, 12-16 March 2012"--Preface. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a Life and mathematics of Alfred Jacobus van der Poorten (1942-2010) / David Hunt -- Ramanujan-Sato-like series / Gert Ahmkvist and Jesús 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 32760 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. | |
| 520 | 3 | |a Collects contributions based on the proceedings of "International Number Theory Conference in Memory of Alf van der Poorten." These proceedings will presents high quality research articles and comprehensive surveys from distinguished mathematicians in order to promote number theory and related topics. The subjects of these articles and surveys are inspired by Alf van der Poorten's wide area of research interests, including number theory, continued fractions, elliptic curves and more. Number Theory and Related Fields collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16, 2012, at the University of Newcastle, Australia. The purpose of the conference was to commemorate the research and influence of Alf van der Poorten in number theory and in general mathematics and presented an exciting venue for promoting number-theoretic research and graduate study in Australia. Comprehensive accounts of recent achievements in theoretical and computational number theory and its applications to cryptography and theoretical computer science were also paramount to the conference. The volume begins with a detailed academic appreciation of van der Poorten's life and work, and includes research articles written by some of the most distinguished mathematicians in the field of number theory. Contributions also include related topics that focus on the various research interests of van der Poorten, such as continued fractions and elliptic curves. Researchers in number theory and its applications will find this Proceedings of great interest. | |
| 538 | |a Mode of access: World Wide Web. | ||
| 600 | 1 | 0 | |a Van Der Poorten, A. J. |9 297146 |
| 650 | 0 | |a Number theory |v Congresses |9 728868 | |
| 700 | 1 | |a Borwein, Jonathan M. |9 248192 | |
| 700 | 1 | |a Shparlinski, Igor E. |9 860949 | |
| 700 | 1 | |a Zudilin, Wadim. |9 860950 | |
| 830 | 0 | |a Springer proceedings in mathematics & statistics ; |v v.43. |9 827430 | |
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