$q$-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra (Cbms Regional Conference Series in Mathematics)

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$q$-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra (Cbms Regional Conference Series in Mathematics) image
ISBN-10:

0821807161

ISBN-13:

9780821807163

Released: Dec 31, 1986
Format: Paperback, 130 pages

Description:

This book integrates recent developments and related applications in $q$-series with a historical development of the field, focusing on major breakthroughs and the author's own research interests. The author develops both the important analytic topics (Bailey chains, integrals, and constant terms) and applications to additive number theory. He concludes with applications to physics and computer algebra and a section on results closely related to Ramanujan's ``Lost Notebook.'' With its wide range of applications, the book will interest researchers and students in combinatorics, additive number theory, special functions, statistical mechanics, and computer algebra. It is understandable to even a beginning graduate student in mathematics who has a background in advanced calculus and some mathematical maturity.

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