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020 _a9781461466420
_9978-1-4614-6642-0
024 7 _a10.1007/978-1-4614-6642-0
_2doi
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
082 0 4 _a512.7
_223
100 1 _aBorwein, Jonathan M.
_eeditor.
245 1 0 _aNumber Theory and Related Fields
_h[electronic resource] :
_bIn Memory of Alf van der Poorten /
_cedited by Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aX, 395 p. 8 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Proceedings in Mathematics & Statistics,
_x2194-1009 ;
_v43
505 0 _aPreface -- Life and Mathematics of Alfred Jacobus van der Poorten (D. Hunt) -- Ramanujan-Sato-Like Series (G. Almkvist, J. Guillera) -- On the Sign of the Real Part of the Riemann Zeta Function (J. Arias de Reyna, R.P. Brent, J. van de Lune) -- Additive Combinatorics with a View Toward Computer Science and Cryptography (K. Bibak) -- Transcendence of Stammering Continued Fractions (Y. Bugeaud) -- Algebraic Independence of Infinite Products and Their Derivatives (P. Bundschuh) -- Small Representations by Indefinite Ternary Quadratic Forms (J.B. Friedlander, 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 (Y. Hamahata) -- Burgess's Bounds for Character Sums (D.R. Heath-Brown).-Structured Hadamard Conjecture (I.S. Kotsireas) -- Families of Cubic Thue Equations with Effective Bounds for the Solutions (C. Levesque, M. Waldschmidt) -- Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros (V. Laohakosol, O. Phuksuwan) -- On Balanced Subgroups of the Multiplicative Group (C. Pomerance, D. Ulmer) -- Some Extensions of the Lucas Functions (E.L. Roettger, H.C. Williams, R.K. Guy) -- The Impact of Number Theory and Computer-Aided Mathematics on Solving the Hadamard Matrix Conjecture (J. Seberry) -- Description of Generalized Continued Fractions by Finite Automata (J. Shallit) -- Some Notes on Weighted Sum Formulae for Double Zeta Values (J. Wan) -- Period(d)ness of L-Values (W. Zudilin).
520 _aNumber 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.
650 0 _aMathematics.
650 0 _aNumber theory.
650 1 4 _aMathematics.
650 2 4 _aNumber Theory.
700 1 _aShparlinski, Igor.
_eeditor.
700 1 _aZudilin, Wadim.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461466413
830 0 _aSpringer Proceedings in Mathematics & Statistics,
_x2194-1009 ;
_v43
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-6642-0
912 _aZDB-2-SMA
999 _c95716
_d95716