Q-Series

George E. Andrews

This book integrates recent developments and related applicationsin $q$-series with a historical development of the field,focusing on major breakthroughs and the author's own researchinterests. The author develops both the important analytictopics (Bailey chains, integrals, and constant terms) andapplications to additive number theory. He concludes withapplications to physics and computer algebra and a section onresults closely related to Ramanujan's "Lost Notebook."

With its wide range of applications, the book will interestresearchers and students in combinatorics, additive numbertheory, special functions, statistical mechanics, and computeralgebra. It is understandable to even a beginning graduatestudent in mathematics who has a background in advanced calculusand some mathematical maturity.

Book tags: q-series, epub, download, epub, george e. andrews

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