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Number Theory in the Spirit of Ramanujan

theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are;

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An Invitation to the Rogers-Ramanujan Identities

The Rogers--Ramanujan identities are a pair of infinite series-infinite product identities that were first discovered in 1894. Over the;

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An Invitation to the Rogers-Ramanujan Identities

The Rogers--Ramanujan identities are a pair of infinite series-infinite product identities that were first discovered in 1894. Over the;

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Zeta and $L$-functions in Number Theory and Combinatorics

out of the author's teaching over several years, explores the interaction between number theory and combinatorics using zeta and $L$-functions;

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Collected Papers of Srinivasa Ramanujan

The influence of Ramanujan on number theory is without parallel in mathematics. His papers, problems and letters have spawned a remarkable;

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Number Theory in the Spirit of Liouville

introduction of a powerful new method into elementary number theory. This book provides a gentle introduction to this method, explaining it in a clear;

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Number Theory in the Spirit of Liouville

introduction of a powerful new method into elementary number theory. This book provides a gentle introduction to this method, explaining it in a clear;

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Elementary Number Theory, Group Theory and Ramanujan Graphs

material from graph theory, number theory, group theory and representation theory. The text can therefore be used as a brief introduction to these;

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Elementary Number Theory, Group Theory and Ramanujan Graphs

material from graph theory, number theory, group theory and representation theory. The text can therefore be used as a brief introduction to these;

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Ramanujan Rediscovered

In June 2009, a conference in number theory was held on the beautiful campus of Infosys in Bangalore. The impetus for organizing this;

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Research Schools on Number Theory in India

This book is an attempt to describe the gradual development of the major schools of research on number theory in South India, Punjab;

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Research Schools on Number Theory in India

This book is an attempt to describe the gradual development of the major schools of research on number theory in South India, Punjab;

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Some Applications of Modular Forms

The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics;

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Algebra and Number Theory

This volume contains refereed and updated versions of papers presented at the International Conference on Algebra and Number Theory held on;

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Number Theory 3

This is the third of three related volumes on number theory. (The first two volumes were also published in the Iwanami Series in Modern;

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Zeta Functions Of Graphs

Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes;

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Lectures On Modular Forms

This concise volume presents an expository account of the theory of modular forms and its application to number theory and analysis;

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Ramanujan Summation of Divergent Series

The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook;

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Harmonic Maass Forms and Mock Modular Forms

Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10-15 years, this theory has been extended;

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Diophantine Equations and Inequalities in Algebraic Number Fields

and Littlewood (see [Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The;

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An Invitation to Q-Series

The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan;

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My Search for Ramanujan

obtain his father's approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered;

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Integral Transforms & Volterra Functions

, integral equations and prime numbers in the works of famous mathematicians Srinivasa Ramanujan, Jacques Touchard, Vito Volterra and Edmund Landau;

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London Mathematical Society Lecture Note Series

The aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory;

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Basic Hypergeometric Series and Applications

number theory. However, the theory has been developed to such an extent and with such a profusion of powerful and general results that the;

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Ramanujan

The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history;

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Ramanujan s Notebooks

The fifth and final volume to establish the results claimed by the great Indian mathematician Srinivasa Ramanujan in his Notebooks first;

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