q-series in number theory and combinatorics : a thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Albany, New Zealand

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Title

q-series in number theory and combinatorics : a thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Albany, New Zealand

Content partner

Massey University

Collection

Massey Research Online

Description

Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work extensively in a branch of mathematics called "q-series". Around 1913, he found an important formula which now is known as Ramanujan's 1ψ1summation formula. The aim of this thesis is to investigate Ramanujan's 1ψ1summation formula and explore its applications to number theory and combinatorics. First, we consider several classical important results on elliptic functions and then give new proofs of t...

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Format

Research paper

Research format

Thesis

Thesis level

Doctoral

Date created

2006

Creator

Lam, Heung Yeung

URL

https://hdl.handle.net/10179/1477

Related subjects

Srinivasa Ramanujan / Summation formula / Elliptic functions / Mathematical transformations / Mathematical Sciences / Mathematics / Number theory and field theory

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