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Ramanujan's Theta Functions

Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan's results and extends them;

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Srinivasa Ramanujan

This book offers a unique account on the life and works of Srinivasa Ramanujan-often hailed as the greatest natural mathematical genius;

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Srinivasa Ramanujan

This book offers a unique account on the life and works of Srinivasa Ramanujan-often hailed as the greatest natural mathematical genius;

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Number Theory in the Spirit of Ramanujan

Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an;

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Harmonic Maass Forms and Mock Modular Forms

enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called ``mock theta functions'' which over eighty;

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Ramanujan's Lost Notebook

papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This;

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Ramanujan Rediscovered

in the life and work of India's greatest mathematician, Srinivasa Ramanujan, and so it was natural for Ramanujan's first loves of theta functions;

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Theta functions, elliptic functions and

connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan's;

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Ramanujan's Lost Notebook

Ramanujan tau-function, the Rogers-Ramanujan functions, highly composite numbers, and sums of powers of theta functions. Review from the second;

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Basic Hypergeometric Series and Applications

made with the mock theta-functions of Ramanujan, which are linked to the rank of partitions. The author gives a number of examples of modular;

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Theta Functions And Knots

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Rzvan Gelca and Alejandro;

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Vijayanagara

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Abelian Varieties, Theta Functions And The Fourier Transform

The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty;

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

the spectrally extremal objects, called Ramanujan graphs and Ramanujan complexes, which can be characterized by their associated zeta;

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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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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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Automorphic Forms And Zeta Functions - Proceedings Of The Conference In Memory Of Tsuneo Arakawa

, followed by 16 articles by experts in the fields including H Aoki, R Berndt, K Hashimoto, S Hayashida, Y Hironaka, H Katsurada, W Kohnen, A Krieg;

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Integer Partitions

applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim;

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Integer Partitions

applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim;

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Abelian Varieties with Complex Multiplication and Modular Functions

laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This;

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London Mathematical Society Lecture Note Series

and Halasz and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative;

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Elements of the Representation Theory of the Jacobi Group

group and sets the frame within which to treat theta functions as well as elliptic functions - in particular, the universal elliptic curve. This;

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Vector Bundles on Curves - New Directions

insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S;

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Scrapbook of Complex Curve Theory

conics and cubics to theta functions, Jacobians, and questions of moduli. By the end of the book, the theme of theta functions becomes clear;

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Thematic Structure in Syntax

roles implied by verbs of a given type play out in terms of position and other syntactic functions. The study of theta roles and the locality;

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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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