MONOGRAPHS IN NUMBER THEORY – serie
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18 produkter
MODULAR AND AUTOMORPHIC FORMS & BEYOND
Inbunden, 2021
1571 kr
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The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric …
RECENT PROGRESS ON TOPICS OF RAMANUJAN SUMS AND COTANGENT SUMS ASSOCIATED WITH THE RIEMANN HYPOTHESIS
Av Helmut Maier, Michael Th Rassias m. fl.
Inbunden, 2022
1019 kr
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In this monograph, we study recent results on some categories of trigonometric/exponential sums along with various of their applications in Mathematical Analysis and Analytic Number Theory. Through the two chapters of this monograph, we wish to highlight the applicability and breadth of techniques …
ANALYTIC AND COMBINATORIAL NUMBER THEORY: THE LEGACY OF RAMANUJAN - CONTRIBUTIONS IN HONOR OF BRUCE C. BERNDT
Av Andrews George E, George E Andrews m. fl.
Inbunden, 2024
2674 kr
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This volume reflects the contributions stemming from the conference Analytic and Combinatorial Number Theory: The Legacy of Ramanujan which took place at the University of Illinois at Urbana-Champaign on June 6–9, 2019. The conference included 26 plenary talks, 71 contributed talks, and 170 …
ANALYTIC METHODS IN NUMBER THEORY: WHEN COMPLEX NUMBERS COUNT
Inbunden, 2023
1114 kr
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There is no surprise that arithmetic properties of integral ("whole") numbers are controlled by analytic functions of complex variable. At the same time, the values of analytic functions themselves happen to be interesting numbers, for which we often seek explicit expressions in terms of other …
HECKE'S THEORY OF MODULAR FORMS AND DIRICHLET SERIES (2ND PRINTING AND REVISIONS)
Av Bruce C Berndt, Marvin I Knopp
Inbunden, 2008
1114 kr
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In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. Since then, the Hecke correspondence has remained an active feature of number theory and, indeed, it is more important today than it was in …
TOPICS IN NUMBER THEORY
Av Minking Eie
Inbunden, 2008
422 kr
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This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the classical theory as well as a new theory on Jacobi forms over Cayley numbers developed by the author from 1990 to 2000. Applications to the classical Euler sums …
TOPICS AND METHODS IN Q-SERIES
Häftad, 2017
1270 kr
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The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important …
TOPICS AND METHODS IN Q-SERIES
Inbunden, 2017
2122 kr
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The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important …
ANALYTIC NUMBER THEORY FOR UNDERGRADUATES
Inbunden, 2009
1058 kr
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This book is written for undergraduates who wish to learn some basic results in analytic number theory. It covers topics such as Bertrand's Postulate, the Prime Number Theorem and Dirichlet's Theorem of primes in arithmetic progression.The materials in this book are based on A Hildebrand's 1991 …
ANALYTIC NUMBER THEORY FOR UNDERGRADUATES
Häftad, 2009
553 kr
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This book is written for undergraduates who wish to learn some basic results in analytic number theory. It covers topics such as Bertrand's Postulate, the Prime Number Theorem and Dirichlet's Theorem of primes in arithmetic progression.The materials in this book are based on A Hildebrand's 1991 …
NUMBER THEORY: AN ELEMENTARY INTRODUCTION THROUGH DIOPHANTINE PROBLEMS
Inbunden, 2010
1051 kr
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This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.These topics are …
NUMBER THEORY: AN ELEMENTARY INTRODUCTION THROUGH DIOPHANTINE PROBLEMS
Häftad, 2010
409 kr
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This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.These topics are …
DEVELOPMENT OF ELLIPTIC FUNCTIONS ACCORDING TO RAMANUJAN
Av K Venkatachaliengar, Shaun Cooper
Inbunden, 2011
1172 kr
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This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been …
THEORY OF MULTIPLE ZETA VALUES WITH APPLICATIONS IN COMBINATORICS, THE
Av Minking Eie
Inbunden, 2013
1564 kr
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This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics, and numerous interesting identities are produced that are ready to be used. …
JACOBSTHAL SUMS
Av Bogdan Nica
Inbunden, 2025
1156 kr
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The focus of this monograph is on the Jacobsthal sums of the title. These are quadratic character sums with polynomial arguments of a certain simple form. In addition to studying Jacobsthal sums on their own, the monograph explores their role in several topics of number-theoretical interest. A …
ANALYTIC NUMBER THEORY AND ALGEBRAIC ASYMPTOTIC ANALYSIS
Inbunden, 2025
3006 kr
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This monograph introduces a unified framework for analyzing and comparing the asymptotic growth of number-theoretic functions through the novel notions of degree and logexponential degree. Extending the asymptotic calculus shaped by du Bois-Reymond, Landau, and Hardy — rooted in notations such as …
ANALYTIC NUMBER THEORY: AN INTRODUCTORY COURSE
Av Paul T Bateman, Harold G Diamond
Inbunden, 2004
1664 kr
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This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) …
ANALYTIC NUMBER THEORY: AN INTRODUCTORY COURSE
Av Paul T Bateman, Harold G Diamond
Häftad, 2004
468 kr
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This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) …
