Recent Progress In Analytic Number Theory On Italic Capital G Functions
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Recent Progress In Analytic Number Theory On Italic Capital G Functions
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Author : Heini Halberstam
language : en
Publisher:
Release Date : 1981
Recent Progress In Analytic Number Theory On Italic Capital G Functions written by Heini Halberstam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Conference proceedings categories.
The papers presented in these two volumes were presented at the Durham Symposium of the London Mathematical Society, which was held on the campus of Durham University between July 22 and August 1, 1979, attended by eight mathematicians from around the world.
Recent Progress In Analytic Number Theory
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Author : Heini Halberstam
language : en
Publisher:
Release Date : 1981
Recent Progress In Analytic Number Theory written by Heini Halberstam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
The papers presented in these two volumes were presented at the Durham Symposium of the London Mathematical Society, which was held on the campus of Durham University between July 22 and August 1, 1979, attended by eight mathematicians from around the world.
Recent Progress In Analytic Number Theory
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Author : Heini Halberstam
language : en
Publisher:
Release Date : 1981
Recent Progress In Analytic Number Theory written by Heini Halberstam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Number theory categories.
Introduction To Analytic Number Theory
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Author : A. G. Postnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1988-12-31
Introduction To Analytic Number Theory written by A. G. Postnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-31 with Mathematics categories.
Aimed at a level between textbooks and the latest research monographs, this book is directed at researchers, teachers, and graduate students interested in number theory and its connections with other branches of science. Choosing to emphasize topics not sufficiently covered in the literature, the author has attempted to give as broad a picture as possible of the problems of analytic number theory.
Problems In Analytic Number Theory
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Author : Danyal Sadik
language : en
Publisher:
Release Date : 2016-08-01
Problems In Analytic Number Theory written by Danyal Sadik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-01 with categories.
"One might have thought that number theory was simply the study of numbers, but that is too broad a definition, since numbers are almost ubiquitous in mathematics. Number theory is a vast and fascinating field of mathematics, sometimes called ""higher arithmetic,"" consisting of the study of the properties of whole numbers. Primes and prime factorization are especially important in number theory, as are a number of functions such as the divisor function, Riemann zeta function, and totient function. Analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. Analytic number theory, and its applications and interactions, are currently experiencing intensive progress, in sometimes unexpected directions. In recent years, many important classical questions have seen spectacular advances based on new techniques; conversely, methods developed in analytic number theory have led to the solution of striking problems in other fields. Recent advances in analytic number theory have had repercussions in various mathematical subjects, such as harmonic analysis, ergodic theory and dynamics, additive and multiplicative combinatorics and theoretical computer science. The biggest technical change after 1950 has been the development of sieve methods, particularly in multiplicative problems. These are combinatorial in nature, and quite varied. The extremal branch of combinatorial theory has in return been greatly influenced by the value placed in analytic number theory on quantitative upper and lower bounds. Another recent development is probabilistic number theory, which uses methods from probability theory to estimate the distribution of number theoretic functions, such as how many prime divisors a number has. Problems in Analytic Number Theory present a problem-solving approach to the difficult subject of analytic number theory. This book is focused at researchers, teachers, and graduate students interested in number theory and its links with other branches of science."
Advances In Number Theory And Applied Analysis
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Author : Pradip Debnath
language : en
Publisher: World Scientific
Release Date : 2023-05-08
Advances In Number Theory And Applied Analysis written by Pradip Debnath and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-08 with Mathematics categories.
Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.The book will present the current state of the art development in these two areas through original new contributions and surveys. As such, readers will find several useful tools and techniques to develop their skills and expertise in number theory and applied analysis. New research directions are also indicated in each of the chapters. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in number theory and mathematical analysis. The readers of this book will require minimum prerequisites of analysis, topology, number theory and functional analysis.
Contributions In Analytic And Algebraic Number Theory
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Author : Valentin Blomer
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-19
Contributions In Analytic And Algebraic Number Theory written by Valentin Blomer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-19 with Mathematics categories.
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.
Analytic And Elementary Number Theory
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Author : Krishnaswami Alladi
language : en
Publisher: Springer
Release Date : 2013-12-21
Analytic And Elementary Number Theory written by Krishnaswami Alladi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-21 with Mathematics categories.
This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series. Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating.
Abstract Analytic Number Theory
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Author : John Knopfmacher
language : en
Publisher: Newnes
Release Date : 1975
Abstract Analytic Number Theory written by John Knopfmacher and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
The purpose of this book is to provide a detailed introduction to arithmetical semigroups and algebraic enumeration problems, arithmetical semigroups with analytical properties of classical type, and analytical properties of other arithmetical systems. These systems are considered in detail, yet should be accessible to readers with only a moderate mathematical background--three years of university mathematics should be sufficient.
Advanced Analytic Number Theory L Functions
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Author : Carlos J. Moreno
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Advanced Analytic Number Theory L Functions written by Carlos J. Moreno and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Algebraic number theory categories.
Since the pioneering work of Euler, Dirichlet, and Riemann, the analytic properties of L-functions have been used to study the distribution of prime numbers. With the advent of the Langlands Program, L-functions have assumed a greater role in the study of the interplay between Diophantine questions about primes and representation theoretic properties of Galois representations. This book provides a complete introduction to the most significant class of L-functions: the Artin-Hecke L-functions associated to finite-dimensional representations of Weil groups and to automorphic L-functions of principal type on the general linear group. In addition to establishing functional equations, growth estimates, and non-vanishing theorems, a thorough presentation of the explicit formulas of Riemann type in the context of Artin-Hecke and automorphic L-functions is also given. The survey is aimed at mathematicians and graduate students who want to learn about the modern analytic theory of L-functions and their applications in number theory and in the theory of automorphic representations. The requirements for a profitable study of this monograph are a knowledge of basic number theory and the rudiments of abstract harmonic analysis on locally compact abelian groups.