eBook PDF Download Digital Library
Author: Bruce Berndt
Publisher: CRC Press
Published: 2002-11-20
Total Pages: 368
ISBN-13: 1000065286
DOWNLOAD EBOOK →This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an outlook into the future of number theory research. It serves as an inspiration to graduate students and as a reference for research mathematicians.
Author: Krishnaswami Alladi
Publisher: Springer Science & Business Media
Published: 2009-03-02
Total Pages: 193
ISBN-13: 0387785108
DOWNLOAD EBOOK →Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D. M. Bressoud), theta functions in complex analysis (H. M. Farkas), representation functions in additive number theory (M. B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt).
Author: Nicholas Young
Publisher: Cambridge University Press
Published: 2008
Total Pages: 370
ISBN-13: 0521705649
DOWNLOAD EBOOK →A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.
Author: Viktor Vasilʹevich Prasolov
Publisher: Cambridge University Press
Published: 2005-04-14
Total Pages: 360
ISBN-13: 0521547938
DOWNLOAD EBOOK →Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.
Author: Yu. I. Manin
Publisher: Springer Science & Business Media
Published: 2006-03-30
Total Pages: 519
ISBN-13: 3540276920
DOWNLOAD EBOOK →This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.
Author: Ellen E. Eischen
Publisher: Springer
Published: 2016-09-26
Total Pages: 339
ISBN-13: 3319309765
DOWNLOAD EBOOK →Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography. The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel research-mentorship model: women at all career stages, from graduate students to senior members of the community, joined forces to work in focused research groups on cutting-edge projects designed and led by experienced researchers. The goals for Women In Numbers 3 were to establish ambitious new collaborations between women in number theory, to train junior participants about topics of current importance, and to continue to build a vibrant community of women in number theory. Forty-two women attended the WIN3 workshop, including 15 senior and mid-level faculty, 15 junior faculty and postdocs, and 12 graduate students.
Author: Nicholas Young
Publisher: Cambridge University Press
Published: 2007-01-18
Total Pages: 327
ISBN-13: 0521691826
DOWNLOAD EBOOK →A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.
Author: Valentin Blomer
Publisher: Springer Science & Business Media
Published: 2011-11-19
Total Pages: 301
ISBN-13: 1461412196
DOWNLOAD EBOOK →The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions have been developed from lectures given at the "International Conference on the Occasion of the 60th Birthday of S. J. Patterson", held at the University Göttingen, July 27-29 2009. Many of the included chapters have been contributed by invited participants. This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics. The volume is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.
Author: Huaning Liu
Publisher: Infinite Study
Published:
Total Pages: 13
ISBN-13:
DOWNLOAD EBOOK →In this paper we give a survey on recent results on Smarandache function.
Author: Alina Bucur
Publisher: Springer
Published: 2024-04-20
Total Pages: 0
ISBN-13: 9783031516764
DOWNLOAD EBOOK →This is the fifth proceedings volume published under the Women in Numbers umbrella. The WIN workshops and their proceedings volumes are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields. The volume contains research articles in the mathematical area of number theory, written by teams of scholars at all levels in the field. More information about the network, its goals and purpose, past and future conferences, and past proceedings volumes, can be found on the WIN website. This volume contains research outcomes and results produced by the collaborative research groups created under the Women in Numbers V workshop, the 5th in its series. The actual workshop was to take place in 2020 at the Banff International Research Station in Banff, Canada, but could not take place onsite due to COVID. The associated research groups, each consisting of 1-2 leaders and 2-4 junior researchers, were formed nevertheless and their collaborations went ahead in purely virtual form, as well as other papers by author teams for which at least 50% of the authors identify as women or gender minorities. These contributions include original research and survey articles in a wide variety of subareas within number theory. The former present new cutting-edge research that will be of interest to experts in the field, to the benefit of their own research. The survey articles serve as an accessible introduction for graduate students and other readers to areas of number theory that may be outside their area of expertise.
