{"id":5623,"date":"2013-06-19T16:14:25","date_gmt":"2013-06-20T00:14:25","guid":{"rendered":"http:\/\/experimentalmath.info\/blog\/?p=5623"},"modified":"2013-06-19T16:14:25","modified_gmt":"2013-06-20T00:14:25","slug":"number-theory-and-related-fields","status":"publish","type":"post","link":"https:\/\/experimentalmath.info\/blog\/2013\/06\/number-theory-and-related-fields\/","title":{"rendered":"Number Theory and Related Fields"},"content":{"rendered":"<div>\n<div>\n<div>\n<div>\n<h1><a href=\"https:\/\/experimentalmath.info\/blog\/wp-content\/uploads\/2013\/06\/alf-cover.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-5628\" alt=\"alf-cover\" src=\"https:\/\/experimentalmath.info\/blog\/wp-content\/uploads\/2013\/06\/alf-cover.jpg\" width=\"153\" height=\"231\" srcset=\"https:\/\/experimentalmath.info\/blog\/wp-content\/uploads\/2013\/06\/alf-cover.jpg 153w, https:\/\/experimentalmath.info\/blog\/wp-content\/uploads\/2013\/06\/alf-cover-99x150.jpg 99w\" sizes=\"auto, (max-width: 153px) 100vw, 153px\" \/><\/a>Number Theory and Related Fields<\/h1>\n<div>\n<div>\n<p>In Memory of Alf van der Poorten<\/p>\n<\/div>\n<div>\n<p>Series:\u00a0<a href=\"http:\/\/www.springer.com\/series\/10533\">Springer Proceedings in Mathematics &amp; Statistics<\/a>, Vol. 43<\/p>\n<\/div>\n<div>\n<p>Bo<span style=\"font-size: 13px; line-height: 19px;\">rwein, Jonathan M.; Shparlinski, Igor; Zudilin, Wadim (Eds.)\u00a0<\/span><span style=\"font-size: 13px; line-height: 19px;\">2013, X, 395 p. 8 illus.\u00a0<\/span><span style=\"font-size: 13px; line-height: 19px;\">ISBN 978-1-4614-6642-0<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<ul>\n<li>Collects\u00a0contributions based on the proceedings of\u00a0&#8220;International Number Theory Conference in Memory of Alf van der Poorten&#8221;<\/li>\n<li>These\u00a0proceedings present high quality research articles and comprehensive surveys\u00a0from distinguished mathematicians in order to promote number theory and related topics<\/li>\n<li>The subjects of these articles and surveys\u00a0are\u00a0inspired\u00a0by Alf van der Poorten&#8217;s wide area of research interests, including number theory, continued fractions, elliptic curves and more<\/li>\n<\/ul>\n<div>\n<blockquote><p><i>Number Theory and Related Fields<\/i>\u00a0collects contributions based on the proceedings of the \u201cInternational Number Theory Conference in Memory of Alf van der Poorten,\u201d hosted by CARMA and held March 12\u201316, 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.<\/p>\n<p>The volume begins with a detailed academic appreciation of van der Poorten\u2019s 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.<\/p><\/blockquote>\n<\/div>\n<h3>TABLE OF CONTENTS<\/h3>\n<div id=\"id22\">\n<div>\n<p>Preface.- 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&#8217; SPT-Function Modulo 32760 and Extension of Atkin&#8217;s Hecke-Type Partition Congruences (F.G. Garvan).- Continued Fractions and Dedekind Sums for Function Fields (Y. Hamahata).- Burgess&#8217;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).<\/p>\n<\/div>\n<\/div>\n<h3>POPULAR CONTENT WITHIN THIS PUBLICATION<\/h3>\n<div id=\"id23\">\n<div id=\"topdownloads\">\n<table>\n<tbody>\n<tr>\n<td><a href=\"http:\/\/dx.doi.org\/10.1007\/978-1-4614-6642-0_7\" target=\"_blank\">Small Representations by Indefinite Ternary Quadratic Forms<\/a>\u00a0Friedlander, J. B.;\u00a0Iwaniec, H.<\/td>\n<\/tr>\n<tr>\n<td><a href=\"http:\/\/dx.doi.org\/10.1007\/978-1-4614-6642-0_3\" target=\"_blank\">On the Sign of the Real Part of the Riemann Zeta Function<\/a>\u00a0Reyna, Juan Arias;\u00a0Brent, Richard P.;\u00a0Lune, Jan<\/td>\n<\/tr>\n<tr>\n<td><a href=\"http:\/\/dx.doi.org\/10.1007\/978-1-4614-6642-0_6\" target=\"_blank\">Algebraic Independence of Infinite Products and Their Derivatives<\/a>\u00a0Bundschuh, Peter<\/td>\n<\/tr>\n<tr>\n<td><a href=\"http:\/\/dx.doi.org\/10.1007\/978-1-4614-6642-0_1\" target=\"_blank\">Life and Mathematics of Alfred Jacobus van der Poorten (1942\u20132010)<\/a>\u00a0Hunt, David<\/td>\n<\/tr>\n<tr>\n<td><a href=\"http:\/\/dx.doi.org\/10.1007\/978-1-4614-6642-0_11\" target=\"_blank\">Structured Hadamard Conjecture<\/a>\u00a0Kotsireas, Ilias S.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div><\/div>\n<\/div>\n<div id=\"id25\">\n<div id=\"SERVICES_FOR_THIS_PRODUCT\">\n<div>\n<div>\n<h3><em id=\"__mceDel\">SERVICES FOR THIS BOOK<\/em><\/h3>\n<\/div>\n<\/div>\n<div>\n<ul>\n<li><a id=\"id2c\" href=\"http:\/\/www.springer.com\/mathematics\/numbers\/book\/978-1-4614-6641-3#\">Access an Online Book Review Copy<\/a><\/li>\n<li id=\"id35\"><a id=\"id36\" href=\"http:\/\/www.springer.com\/mathematics\/numbers\/book\/978-1-4614-6641-3#\">Download Product Flyer<\/a><\/li>\n<li><a href=\"http:\/\/images.springer.com\/covers\/978-1-4614-6641-3.tif\">Download High-Resolution Cover<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"id3a\"><\/div>\n<\/div>\n<\/div>\n<div id=\"getAdsDiv\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p> Number Theory and Related Fields <\/p>\n<p>In Memory of Alf van der Poorten<\/p>\n<p>Series: Springer Proceedings in Mathematics &amp; Statistics, Vol. 43<\/p>\n<p>Borwein, Jonathan M.; Shparlinski, Igor; Zudilin, Wadim (Eds.) 2013, X, 395 p. 8 illus. ISBN 978-1-4614-6642-0<\/p>\n<p> Collects contributions based on the proceedings of &#8220;International Number Theory Conference in Memory of Alf van der Poorten&#8221; These proceedings present 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&#8217;s wide area of research interests, including number theory, <\/p>\n<p>Continue reading <a href=\"https:\/\/experimentalmath.info\/blog\/2013\/06\/number-theory-and-related-fields\/\">Number Theory and Related Fields<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-5623","post","type-post","status-publish","format-standard","hentry","category-book-reviews","odd"],"_links":{"self":[{"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/posts\/5623","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/comments?post=5623"}],"version-history":[{"count":7,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/posts\/5623\/revisions"}],"predecessor-version":[{"id":5631,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/posts\/5623\/revisions\/5631"}],"wp:attachment":[{"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/media?parent=5623"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/categories?post=5623"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/tags?post=5623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}