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Number Theory

  • Elliptic and Modular Functions from Gauss to Dedekind to Heckeby Ranjan Roy

    Cambridge University Press 2017; US$ 64.00

    A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources. more...

  • Elliptic Curves, Modular Forms and Iwasawa Theoryby David Loeffler; Sarah Livia Zerbes

    Springer International Publishing 2017; US$ 105.69

    Celebrating one of the leading figures in contemporary number theory ? John H. Coates ? on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations. Several of the contributions in this volume were presented... more...

  • Pseudodifferential Equations Over Non-Archimedean Spacesby W. A. Ziga-Galindo

    Springer International Publishing 2017; US$ 31.70

    Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed... more...

  • From Arithmetic to Zeta-Functionsby Jrgen Sander; Jrn Steuding; Rasa Steuding

    Springer International Publishing 2016; US$ 95.12

    This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions,... more...

  • Diophantine Analysisby Sanda Bujacic; Jrn Steuding; Alan Filipin; Simon Kristensen; Tapani Matala-aho; Nicola M.R. Oswald

    Springer International Publishing 2016; US$ 63.41

    This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker?s method of bounding linear forms in logarithms (authored by Sanda Buja?i? and Alan Filipin), metric diophantine approximation... more...

  • Arithmetische Funktionenby Paul J. McCarthy; Markus Hablizel

    Springer Berlin Heidelberg 2016; US$ 20.42

    The theory of arithmetical functions has always been one of the more active parts of the theory of numbers. The large number of papers in the bibliography, most of which were written in the last forty years, attests to its popularity. Most textbooks on the theory of numbers contain some information on arithmetical functions, usually results which are... more...

  • Lie Theory and Its Applications in Physicsby Vladimir Dobrev

    Springer Singapore 2016; US$ 116.26

    This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend has been towards geometrization... more...

  • Are Numbers Real?by Brian Clegg

    St. Martin's Press 2016; US$ 20.29

    Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers... more...

  • Mod-? Convergenceby Valentin Feray; Pierre-Loic Meliot; Ashkan Nikeghbali

    Springer International Publishing 2016; US$ 45.44

    The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lvy?s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-? convergence. This type of convergence is a relatively new concept with many deep ramifications,... more...

  • Problems in the Theory of Modular Formsby M. Ram Murty; Michael Dewar; Hester Graves

    Springer Singapore 2016; Not Available

    This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level,... more...