Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. (English) Zbl 1266.11001

Springer Proceedings in Mathematics & Statistics 43. New York, NY: Springer (ISBN 978-1-4614-6641-3/hbk; 978-1-4614-6642-0/ebook). x, 395 p. (2013).

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The articles of this volume will be reviewed individually.
Indexed articles:
Hunt, David, Life and mathematics of Alfred Jacobus van der Poorten (1942–2010), 1-53 [Zbl 1275.01012]
Almkvist, Gert; Guillera, Jesús, Ramanujan-Sato-like series, 55-74 [Zbl 1290.33004]
Arias de Reyna, Juan; Brent, Richard P.; van de Lune, Jan, On the sign of the real part of the Riemann zeta function, 75-97 [Zbl 1330.11054]
Bibak, Khodakhast, Additive combinatorics: with a view towards computer science and cryptography – an exposition, 99-128 [Zbl 1303.11022]
Bugeaud, Yann, Transcendence of stammering continued fractions, 129-141 [Zbl 1333.11065]
Bundschuh, Peter, Algebraic independence of infinite products and their derivatives, 143-156 [Zbl 1325.11070]
Friedlander, J. B.; Iwaniec, H., Small representations by indefinite ternary quadratic forms, 157-164 [Zbl 1332.11044]
Garvan, F. G., Congruences for Andrews’ spt-function modulo 32760 and extension of Atkin’s Hecke-type partition congruences, 165-185 [Zbl 1286.11164]
Hamahata, Yoshinori, Continued fractions and Dedekind sums for function fields, 187-197 [Zbl 1328.11045]
Heath-Brown, D. R., Burgess’s bounds for character sums, 199-213 [Zbl 1328.11088]
Kotsireas, Ilias S., Structured Hadamard conjecture, 215-227 [Zbl 1268.05037]
Levesque, Claude; Waldschmidt, Michel, Families of cubic Thue equations with effective bounds for the solutions, 229-243 [Zbl 1358.11050]
Phuksuwan, Ouamporn; Laohakosol, Vichian, Consequences of a factorization theorem for generalized exponential polynomials with infinitely many integer zeros, 245-252 [Zbl 1333.30004]
Pomerance, Carl; Ulmer, Douglas, On balanced subgroups of the multiplicative group, 253-270 [Zbl 1332.11089]
Roettger, E. L.; Williams, H. C.; Guy, R. K., Some extensions of the Lucas functions, 271-311 [Zbl 1332.11023]
Seberry, Jennifer, The impact of number theory and computer-aided mathematics on solving the Hadamard matrix conjecture, 313-320 [Zbl 1279.05008]
Shallit, Jeffrey, Description of generalized continued fractions by finite automata, 321-339 [Zbl 1315.11009]
Stewart, C. L., On prime factors of terms of linear recurrence sequences, 341-359 [Zbl 1315.11011]
Wan, James, Some notes on weighted sum formulae for double zeta values, 361-379 [Zbl 1332.11084]
Zudilin, Wadim, Period(d)ness of \(L\)-values, 381-395 [Zbl 1316.11038]

MSC:

11-06	Proceedings, conferences, collections, etc. pertaining to number theory
00B25	Proceedings of conferences of miscellaneous specific interest
00B30	Festschriften
01A70	Biographies, obituaries, personalia, bibliographies
11-03	History of number theory
01A60	History of mathematics in the 20th century
11A55	Continued fractions
11B75	Other combinatorial number theory
11E20	General ternary and quaternary quadratic forms; forms of more than two variables
11M06	\(\zeta (s)\) and \(L(s, \chi)\)