Description

Book Synopsis
There are incredibly rich connections between classical analysis and number theory. This title uncovers interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. It is suitable for a graduate course or for independent reading.

Table of Contents
The modular group and elliptic function theory Theta functions with characteristics Function theory for the modular group $\Gamma$ and its subgroups Theta constant identities Partition theory: Ramanujan congruences and generalizations Identities related to partition functions Combinatorial and number theoretic applications Bibliography Bibliographical notes Index.

Theta Constants Riemann Surfaces and the Modular

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    A Hardback by American Mathem American Mathem

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      Book details

      Publisher American Mathematical Society
      Published 9/30/2001 12:00:00 AM
      ISBN-13 9780821813928
      978-0821813928
      ISBN-10 0821813927

      Description

      Book Synopsis
      There are incredibly rich connections between classical analysis and number theory. This title uncovers interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. It is suitable for a graduate course or for independent reading.

      Table of Contents
      The modular group and elliptic function theory Theta functions with characteristics Function theory for the modular group $\Gamma$ and its subgroups Theta constant identities Partition theory: Ramanujan congruences and generalizations Identities related to partition functions Combinatorial and number theoretic applications Bibliography Bibliographical notes Index.

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