21 Ergebnisse - Zeige 1 von 20.

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 ...

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 Ramanuja...

This book presents a printed testimony for the fact that George Andrews, one of the world's leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80. To honor George Andrews on this occasion, the conference "Combinatory Analysis 2018" was organized at the Pennsylvania State University from June 21 to 24, 2018. This volume comprises the original articles from the Special Issue "Combinatory Ana...

This book presents a printed testimony for the fact that George Andrews, one of the world's leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80. To honor George Andrews on this occasion, the conference "Combinatory Analysis 2018" was organized at the Pennsylvania State University from June 21 to 24, 2018. This volume comprises the original articles from the Special Issue "Combinatory Ana...

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 throughout the 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 and monumental contributions of various mathematical luminaries, some of whom, like R...

This is a kaleidoscopic account of the remarkable life story of Alladi Ramakrishnan (1923-2008), an internationally reputed physicist, and the son of Sir Alladi Krishnaswami Iyer (1883-1953), one of India's most eminent jurists. Part I of the autobiography gives a fascinating account his early life in Madras, India during the last decades of British colonial rule, and the leading role played by Sir Alladi in drafting the Constitution of India....

Contains the proceedings of an international conference to commemorate the 125th anniversary of Ramanujan's birth, held November 2012. The topics covered include modular forms, mock theta functions and harmonic Maass forms, continued fractions, partition inequalities, q-series, representations of affine Lie algebras and partition identities, highly composite numbers, analytic number theory and quadratic forms.

George Andrews is one of the most influential figures in number theory and combinatorics. In the theory of partitions and q-hypergeometric series and in the study of Ramanujan's work, he is the unquestioned leader. To suitably honor him during his 70th birthday year, an international conference on Combinatory Analysis was held at The Pennsylvania State University, December 5–7, 2008. Three issues of The Ramanujan Journal comprising Volume 23 w...

Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, a...

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...

This book contains a unique collection of both research and survey papers written by an international group of some of the world's experts on partitions, q-series, and modular forms, as outgrowths of a conference held at the University of Florida, Gainesville in March 2008. The success of this conference has led to annual year-long programs in Algebra, Number Theory, and Combinatorics (ANTC) at the university.A common theme in the book is the ...

In the last decade, the areas of quadratic and higher degree forms have witnessed  dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009,  two at the University of Florida and one at the Arizona Winter School.  The volume also includes papers from the two focused weeks on quadratic forms and integral lattices at the University of Florida in 2010.Topics discussed include the links between quadr...

This book contains a unique collection of both research and survey papers written by an international group of some of the world's experts on partitions, q-series, and modular forms, as outgrowths of a conference held at the University of Florida, Gainesville in March 2008. The success of this conference has led to annual year-long programs in Algebra, Number Theory, and Combinatorics (ANTC) at the university.A common theme in the book is the ...

In a distinguished scientific life that had spanned over five decades, Alladi Ramakrishnan made significant contributions to probability and statistics, elementary particle physics, cosmic rays and astrophysics, matrix theory, and the special theory of relativity. Inspired by his visit to the Institute of Advanced Study during 1957-1958, and the direct influences of Robert Oppenheimer, Niels Bohr, Sir C.V. Raman, S. Chandrasekhar, and other n...

George Andrews is one of the most influential figures in number theory and combinatorics. In the theory of partitions and q-hypergeometric series and in the study of Ramanujan's work, he is the unquestioned leader. To suitably honor him during his 70th birthday year, an international conference on Combinatory Analysis was held at The Pennsylvania State University, December 5–7, 2008. Three issues of The Ramanujan Journal comprising Volume 23 w...

In the last decade, the areas of quadratic and higher degree forms have witnessed  dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009,  two at the University of Florida and one at the Arizona Winter School.  The volume also includes papers from the two focused weeks on quadratic forms and integral lattices at the University of Florida in 2010.Topics discussed include the links between quadr...

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...

Ramanujan and I.- Appendix: On composite numbers.- The distribution of additive functions in special sets of integers.- An identity of sylvester and the rogers-ramanujan identities.- Variations on the Rogers-Ramanujan continued fraction in Ramanujan's notebooks.- Beta integrals and the associated orthogonal polynomials.- Ramanujan and the theory of prime numbers.- Lattice paths and the Rogers-Ramanujan identities.- Multiplicative properties of...

A study of the moments of additive functions using laplace transforms and sieve methods.- A hybrid version of a theorem of Ingham.- Remarks on some of Ramanujan's number theoretical discoveries found in his second notebook.- Two generalizations of Ramanujan's continued fraction identities.- The combinatorial sieve.- On some of my problems in number theory i would most like to see solved.- Problems and result on additive properties of general s...

Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, a...