Women in Numbers Europe III: Research Directions in Number Theory, Cojocaru Alina Carmen, Ionica Sorina, Garcнa Elisa Lorenzo
Автор: Jennifer S. Balakrishnan; Amanda Folsom; Matilde L Название: Research Directions in Number Theory ISBN: 3030194779 ISBN-13(EAN): 9783030194772 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops.The workshop and this volume 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.
Описание: This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations.
This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research.
The book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relations to other mathematical subjects, and various generalizations such as their q-analogs and their finite versions (by taking partial sums modulo suitable prime powers). Historical notes and exercises are provided at the end of each chapter.
Автор: Balakrishnan Jennifer S., Folsom Amanda, Lalнn Matilde Название: Research Directions in Number Theory: Women in Numbers IV ISBN: 3030194809 ISBN-13(EAN): 9783030194802 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Ramanujan graphs in cryptography (A. Costache, B. Feigon, K. Lauter, M. Massierer, A. Puskбs).- Cycles in the supersingular l-isogeny graph and corresponding endomorphisms (E. Bank, C. Camacho-Navarro, K. Eisentraeger, T. Morrison, J. Park).- Chabauty-Coleman experiments for genus 3 curves (J.S. Balakrishnan, F. Bianchi, V. Cantoral-Farfбn, M. Зiperiani, A. Etropolski).- Weierstrass equations for the elliptic fibrations of a K3 surface (O. Lecacheux).- Newton polygons of cyclic covers of the projective line branched at three points (Wanlin Li, Elena Mantovan, Rachel Pries, Yunqing Tang).- Arboreal representations for rational maps with few critical points (J. Juul, H. Krieger, N. Looper, M. Manes, B. Thompson, L. Walton).- Dessins d'enfants for single-cycle Belyi maps (M. Manes, G. Melamed, B. Tobin).- Multiplicative order and Frobenius symbol for the reductions of number fields (A. Perucca).- Quantam modular forms and singular combinatorial series with distinct roots of unity (A. Folsom, M.-J. Jang, S. Kimport, H. Swisher).
Автор: Cai Tianxin Название: Book On Numbers, The ISBN: 9814759430 ISBN-13(EAN): 9789814759434 Издательство: World Scientific Publishing Рейтинг: Цена: 7603.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Natural numbers are the oldest human inventions. This volume describes their nature, laws, history and current status. The first five chapters contain not only the basics of elementary number theory for the convenience of teaching and continuity of reading, but also many latest research results.
Автор: Irene I. Bouw; Ekin Ozman; Jennifer Johnson-Leung; Название: Women in Numbers Europe II ISBN: 3030091244 ISBN-13(EAN): 9783030091248 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Поставка под заказ.
Описание:
Inspired by the September 2016 conference of the same name, this second volume highlights recent research in a wide range of topics in contemporary number theory and arithmetic geometry. Research reports from projects started at the conference, expository papers describing ongoing research, and contributed papers from women number theorists outside the conference make up this diverse volume. Topics cover a broad range of topics such as arithmetic dynamics, failure of local-global principles, geometry in positive characteristics, and heights of algebraic integers. The use of tools from algebra, analysis and geometry, as well as computational methods exemplifies the wealth of techniques available to modern researchers in number theory.
Exploring connections between different branches of mathematics and combining different points of view, these papers continue the tradition of supporting and highlighting the contributions of women number theorists at a variety of career stages. Perfect for students and researchers interested in the field, this volume provides an easily accessible introduction and has the potential to inspire future work.
Автор: Marie Jos? Bertin; Alina Bucur; Brooke Feigon; Lei Название: Women in Numbers Europe ISBN: 3319368362 ISBN-13(EAN): 9783319368368 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Explicit construction of Ramanujan bigraphs.- Classifications of Elliptic Fibrations of K3 surfaces.- Classifications of Elliptic Functions of a singular K3 Surface.- Shalika Germs for Sl(n) and Sp(2n) are Motivic.- The Conjectural Relation Between Generalized Shalika Models on SO4n(F) and Symplectic Linear Models on Sp4n(F): A Toy Example.- Bad Reduction of Genus Three Curves with Complex Multiplication.- Symmetries of Rational Functions Arising in Ecalle's Study of Multiple Zeta Values.- On T-Li Coefficients for Rankin-Selberg L-Functions.- Galois Representations and Galois Groups over Q.
Автор: Bouw Название: Women in Numbers Europe II ISBN: 3319749978 ISBN-13(EAN): 9783319749976 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Inspired by the September 2016 conference of the same name, this second volume highlights recent research in a wide range of topics in contemporary number theory and arithmetic geometry. Research reports from projects started at the conference, expository papers describing ongoing research, and contributed papers from women number theorists outside the conference make up this diverse volume. Topics cover a broad range of topics such as arithmetic dynamics, failure of local-global principles, geometry in positive characteristics, and heights of algebraic integers. The use of tools from algebra, analysis and geometry, as well as computational methods exemplifies the wealth of techniques available to modern researchers in number theory.
Exploring connections between different branches of mathematics and combining different points of view, these papers continue the tradition of supporting and highlighting the contributions of women number theorists at a variety of career stages. Perfect for students and researchers interested in the field, this volume provides an easily accessible introduction and has the potential to inspire future work.
Автор: Eischen Название: Directions in Number Theory ISBN: 3319309749 ISBN-13(EAN): 9783319309743 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
Автор: Monod, Nicolas (ecole Polytechnique Federale De Lausanne) Название: New directions in locally compact groups ISBN: 1108413129 ISBN-13(EAN): 9781108413121 Издательство: Cambridge Academ Рейтинг: Цена: 13147.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This collection of expository articles provides an overview of the major renaissance happening today in the study of locally compact groups and their many connections to other areas of mathematics, including geometric group theory, measured group theory and rigidity of lattices. For researchers and graduate students.
Автор: Eischen Ellen E., Long Ling, Pries Rachel Название: Directions in Number Theory: Proceedings of the 2014 Win3 Workshop ISBN: 3319809342 ISBN-13(EAN): 9783319809342 Издательство: Springer Рейтинг: Цена: 22359.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Preface.- Insufficiency of the Brauer-Manin obstruction for rational points on Enriques surfaces (Balestrieri et al).- Shadow lines in the arithmetic of elliptic curves (Balakrishnan et al).- Galois action on the homology of Fermat curves (Davis et al).- Zeta functions of a class of Artin-Schreier curves with many automorphisms over finite fields (Bouw et al).- Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions (Deines et al).- A generalization of S. Zhang's local Gross-Zagier formula for GL(2) (Maurischat).- p-adic q-expansion principles on unitary Shimura varieties (Caraiani et al).- Kneser-Hecke-operators for codes over finite chain rings (Feaver et al).- Ring-LWE cryptography for the number theorist (Elias et al).- Asymptotics for number fields and class groups (Wood).
Автор: Elena Deza Название: Mersenne Numbers And Fermat Numbers ISBN: 9811230315 ISBN-13(EAN): 9789811230318 Издательство: World Scientific Publishing Рейтинг: Цена: 15840.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography.
In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17-th century) is a number of the form Mn = 2n - 1 for positive integer n.
In Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the form Fn = 2k+ 1, k=2n, where n is a non-negative integer.
Mersenne and Fermat numbers have many other interesting properties. Long and rich history, many arithmetic connections (with perfect numbers, with construction of regular polygons etc.), numerous modern applications, long list of open problems allow us to provide a broad perspective of the Theory of these two classes of special numbers, that can be useful and interesting for both professionals and the general audience.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
