Research Schools on Number Theory in India: During the 20th Century, Mukherji Purabi
Автор: W?adys?aw Narkiewicz Название: Rational Number Theory in the 20th Century ISBN: 1447127153 ISBN-13(EAN): 9781447127154 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book surveys 20th century progress in classical number theory, from the proof of the Prime Number Theorem in 1896 through the proof of Fermat`s Last Theorem, focusing on the part of number theory that addresses properties of integers and rational numbers.
Автор: Mukherji Purabi Название: Research Schools on Number Theory in India: During the 20th Century ISBN: 9811596190 ISBN-13(EAN): 9789811596193 Издательство: Springer Цена: 32600.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is an attempt to describe the gradual development of the major schools of research on number theory in South India, Punjab, Mumbai, Bengal, and Bihar-including the establishment of Tata Institute of Fundamental Research (TIFR), Mumbai, a landmark event in the history of research of number theory in India.
Автор: Narkiewicz Название: Rational Number Theory in the 20th Century ISBN: 0857295314 ISBN-13(EAN): 9780857295316 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.
Автор: Cai Tianxin Название: Book On Numbers, The ISBN: 9814759430 ISBN-13(EAN): 9789814759434 Издательство: World Scientific Publishing Рейтинг: Цена: 50690.00 T 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: Escassut Alain Название: Value Distribution In P-Adic Analysis ISBN: 9814730106 ISBN-13(EAN): 9789814730105 Издательство: World Scientific Publishing Рейтинг: Цена: 190080.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk is explained. P-adic meromorphics are studied. Sets of range uniqueness in a p-adic field are examined. The ultrametric Corona problem is studied. Injective analytic elements are characterized. The p-adic Nevanlinna theory is described and many applications are given: p-adic Hayman conjecture, Picard's values for derivatives, small functions, branched values, growth of entire functions, problems of uniqueness, URSCM and URSIM, functions of uniqueness, sharing value problems, Nevanlinna theory in characteristic p>0, p-adic Yosida's equation.
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: Hida Haruzo Et Al Название: P-Adic Aspects Of Modular Forms ISBN: 9814719226 ISBN-13(EAN): 9789814719223 Издательство: World Scientific Publishing Цена: 116160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied.
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: 93160.00 T 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: Jennifer S. Balakrishnan; Amanda Folsom; Matilde L Название: Research Directions in Number Theory ISBN: 3030194779 ISBN-13(EAN): 9783030194772 Издательство: Springer Рейтинг: Цена: 121110.00 T 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.
Автор: Cojocaru Alina Carmen, Ionica Sorina, Garcнa Elisa Lorenzo Название: Women in Numbers Europe III: Research Directions in Number Theory ISBN: 3030776999 ISBN-13(EAN): 9783030776992 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory.
Автор: Shi, Minjia (anhui Univ, China) Choie, Youngju (postech, South Korea) Sharma, Anuradha (indraprastha Inst Of Information Tech, Delhi, India) Sole, Pat Название: Codes and modular forms: a dictionary ISBN: 9811212910 ISBN-13(EAN): 9789811212918 Издательство: World Scientific Publishing Рейтинг: Цена: 84480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960's. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules over some commutative rings. The connection between codes over finite fields and lattices has been well documented since the 1970s. Due to an avalanche of results on codes over rings since the 1990's there is a need for an update at book level.
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