Hardy Ramanujan Journal
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Hardy Ramanujan Journal
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Author :
language : en
Publisher:
Release Date : 1997
Hardy Ramanujan Journal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Number theory categories.
Hardy Ramanujan Journal
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Author :
language : en
Publisher:
Release Date : 1995
Hardy Ramanujan Journal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Number theory categories.
Lectures On The Riemann Zeta Function
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Author : H. Iwaniec
language : en
Publisher: American Mathematical Society
Release Date : 2014-10-07
Lectures On The Riemann Zeta Function written by H. Iwaniec and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-07 with Mathematics categories.
The Riemann zeta function was introduced by L. Euler (1737) in connection with questions about the distribution of prime numbers. Later, B. Riemann (1859) derived deeper results about the prime numbers by considering the zeta function in the complex variable. The famous Riemann Hypothesis, asserting that all of the non-trivial zeros of zeta are on a critical line in the complex plane, is one of the most important unsolved problems in modern mathematics. The present book consists of two parts. The first part covers classical material about the zeros of the Riemann zeta function with applications to the distribution of prime numbers, including those made by Riemann himself, F. Carlson, and Hardy-Littlewood. The second part gives a complete presentation of Levinson's method for zeros on the critical line, which allows one to prove, in particular, that more than one-third of non-trivial zeros of zeta are on the critical line. This approach and some results concerning integrals of Dirichlet polynomials are new. There are also technical lemmas which can be useful in a broader context.
Ramanujan
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Author : Godfrey Harold Hardy
language : en
Publisher: American Mathematical Soc.
Release Date : 1999-01-01
Ramanujan written by Godfrey Harold Hardy 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 1999-01-01 with Mathematics categories.
Another excellent book long out of print but much in demand. This book is pulled together by Ramanujan's primary mentor, G. H. Hardy, who was the first to recognize the amazing nature of Ramanujan's ideas. Another exceptional classic from the Chelsea list.
Collected Papers Of Srinivasa Ramanujan
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Author : Srinivasa Ramanujan
language : en
Publisher: Cambridge University Press
Release Date : 2015-12-03
Collected Papers Of Srinivasa Ramanujan written by Srinivasa Ramanujan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-03 with Mathematics categories.
Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887-1920), with editorial contributions from G. H. Hardy (1877-1947). Detailed notes are incorporated throughout and appendices are also included. This book will be of value to anyone with an interest in the works of Ramanujan and the history of mathematics.
Research Schools On Number Theory In India
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Author : Purabi Mukherji
language : en
Publisher: Springer Nature
Release Date : 2021-01-05
Research Schools On Number Theory In India written by Purabi Mukherji and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-05 with Mathematics categories.
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. Research on number theory in India during modern times started with the advent of the iconic genius Srinivasa Ramanujan, inspiring mathematicians around the world. This book discusses the national and international impact of the research made by Indian number theorists. It also includes a carefully compiled, comprehensive bibliography of major 20th century Indian number theorists making this book important from the standpoint of historic documentation and a valuable resource for researchers of the field for their literature survey. This book also briefly discusses the importance of number theory in the modern world of mathematics, including applications of the results developed by indigenous number theorists in practical fields. Since the book is written from the viewpoint of the history of science, technical jargon and mathematical expressions have been avoided as much as possible.
Ramanujan S Place In The World Of Mathematics
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Author : Krishnaswami Alladi
language : en
Publisher: Springer Nature
Release Date : 2021-09-17
Ramanujan S Place In The World Of Mathematics written by Krishnaswami Alladi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-17 with Mathematics categories.
The First Edition of the book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians in history whose life and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujan’s spectacular discoveries and remarkable life with the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. Also, among the articles are reviews of three important books on Ramanujan’s mathematics and life. In addition, some aspects of Ramanujan’s contributions, such as his remarkable formulae for the number pi, his path-breaking work in the theory of partitions, and his fundamental observations on quadratic forms, are discussed. Finally, the book describes various current efforts to ensure that the legacy of Ramanujan will be preserved and continue to thrive in the future. This Second Edition is an expanded version of the first with six more articles by the author. Of note is the inclusion of a detailed review of the movie The Man Who Knew Infinity, a description of the fundamental work of the SASTRA Ramanujan Prize Winners, and an account of the Royal Society Conference to honour Ramanujan’s legacy on the centenary of his election as FRS.
My Mathematical Universe People Personalities And The Profession
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Author : Krishnaswami Alladi
language : en
Publisher: World Scientific
Release Date : 2022-11-15
My Mathematical Universe People Personalities And The Profession written by Krishnaswami Alladi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-15 with Mathematics categories.
This is an autobiography and an exposition on the contributions and personalities of many of the leading researchers in mathematics and physics with whom Dr Krishna Alladi, Professor of Mathematics at the University of Florida, has had personal interaction with for over six decades. Discussions of various aspects of the physics and mathematics academic professions are included.Part I begins with the author's unusual and frequent introductions as a young boy to scientific luminaries like Nobel Laureates Niels Bohr, Murray Gell-Mann, and Richard Feynman, in the company of his father, the scientist Alladi Ramakrishnan. Also in Part I is an exciting account of how the author started his research investigations in number theory as an undergraduate, and how contact and collaboration with the great Paul Erdős as a student influenced him in his career.In-depth views of the Institute for Advanced Study, Princeton, and several major American Universities are given, and fascinating descriptions of the work and personalities of some Field Medalists and eminent mathematicians are provided.Part II deals with the author's tenure at the University of Florida where he initiated several programs as Mathematics Chair for a decade, and how he has served the profession in various capacities, most notably as Chair of the SASTRA Ramanujan Prize Committee and Editor-in-Chief of The Ramanujan Journal.The book would appeal to academicians and the general public, since the author has blended academic and scientific discussions at a non-technical level with descriptions of destinations in his international travels for work and pleasure. The reader is invited to dig as deep as desired and is guaranteed to be treated to whimsical stories and personal peeks at some of the great luminaries of the twentieth and twenty-first centuries.
The G H Hardy Reader
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Author : Donald J. Albers
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-11
The G H Hardy Reader written by Donald J. Albers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Computers categories.
G. H. Hardy ranks among the greatest twentieth-century mathematicians. This book introduces this extraordinary individual and his writing.
Number Theory And Discrete Mathematics
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Author : A.K. Agarwal
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Number Theory And Discrete Mathematics written by A.K. Agarwal and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
To mark the World Mathematical Year 2000 an International Conference on Number Theory and Discrete Mathematics in honour of the legendary Indian Mathematician Srinivasa Ramanuj~ was held at the centre for Advanced study in Mathematics, Panjab University, Chandigarh, India during October 2-6, 2000. This volume contains the proceedings of that conference. In all there were 82 participants including 14 overseas participants from Austria, France, Hungary, Italy, Japan, Korea, Singapore and the USA. The conference was inaugurated by Prof. K. N. Pathak, Hon. Vice-Chancellor, Panjab University, Chandigarh on October 2, 2000. Prof. Bruce C. Berndt of the University of Illinois, Urbana Chaimpaign, USA delivered the key note address entitled "The Life, Notebooks and Mathematical Contributions of Srinivasa Ramanujan". He described Ramanujan--as one of this century's most influential Mathematicians. Quoting Mark K. ac, Prof. George E. Andrews of the Pennsylvania State University, USA, in his message for the conference, described Ramanujan as a "magical genius". During the 5-day deliberations invited speakers gave talks on various topics in number theory and discrete mathematics. We mention here a few of them just as a sampling: • M. Waldschmidt, in his article, provides a very nice introduction to the topic of multiple poly logarithms and their special values. • C.