AHA-BUCH

Partitions, q-Series, and Modular Forms
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Partitions, q-Series, and Modular Forms

 Previously published in hardcover
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ISBN-13:
9781493901869
Einband:
Previously published in hardcover
Erscheinungsdatum:
25.01.2014
Seiten:
236
Autor:
Krishnaswami Alladi
Gewicht:
371 g
Format:
237x156x17 mm
Sprache:
Englisch
Beschreibung:

This unique volume describes recent progress in the fields of q-hypergeometric series, partitions, and modular forms and their relation to number theory, combinatorics, and special functions. It grew out of a conference at the University of Florida.
Unique volume describing recent progress in the fields of q-hypergeometric series, partitions, and modular forms and their relation to number theory, combinatorics, and special functions
-Preface (K. Alladi and F. Garvan).- 1. MacMahon's dream (G. E. Andrews and P. Paule).- 2. Ramanujan's elementary method in partition congruences (B. Berndt, C. Gugg, and S. Kim).- 3. Coefficients of harmonic Maass forms (K. Bringmann and K. Ono).- 4. On the growth of restricted partition functions (E. R. Canfield and H. Wilf).- 5. On applications of roots of unity to product identities (Z. Cao).- 6. Lecture hall sequences, q-series, and asymmetric partition identities (S. Corteel, C. Savage and A. Sills).- 7. Generalizations of Hutchinson's curve and the Thomae formula (H. Farkas).- 8. On the parity of the Rogers-Ramanujan coefficients (B. Gordon).- 9. A survey of the classical mock theta functions (B. Gordon and R. McIntosh).- 10. An application of the Cauchy-Sylvester theorem on compound determinants to a BC_n Jackson integral (M. Ito and S. Okada).- 11. Multiple generalizations of q-series identities found in Ramanujan's Lost Notebook (Y. Kajihara).- 12. Non-terminating q-Whipple transformations for basic hypergeometric series in U(n) (S. C. Milne and J. W. Newcomb).
Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to researchers and graduate students that would like to learn of recent developments in the theory of q-series and modular and how it relates to number theory, combinatorics and special functions.

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