Combinatory Analysis
Springer-Verlag New York Inc.
978-1-4899-8835-5 (ISBN)
As a fitting tribute to George Andrews, many speakers from the conference contributed research papers to this volume which deals with a broad range of areas that signify the research interests of George Andrews. In reproducing Volume 23 of The Ramanujan Journal in this book form, we have included two papers—one by Hei-Chi Chan and Shaun Cooper, and another by Ole Warnaar—which were intended for Volume 23 of The Ramanujan Journal, but appeared in other issues.
The enormous productivity of George Andrews remains unabated in spite of the passage of time. His immensely fertile mind continues to pour forth seminal ideas year after year. He has two research papers in this volume. May his eternal youthfulness and his magnificent research output continue to inspire and influence researchers in the years ahead.
Congruences modulo powers of 2 for a certain partition function (H.-C. Chan and S. Cooper).- Cranks—really, the final problem (B.C. Berndt, H.H. Chan, S.H. Chan, and W.-C. Liaw).- Eisenstein series and Ramanujan-type series for 1/π (N.D. Baruah and B.C. Berndt).- Parity in partition identities (G.E. Andrews).- Some combinatorial properties of hook lengths, contents, and parts of partitions (R.P. Stanley).- The doubloon polynomial triangle (D. Foata and G.-N. Han).- Hook lengths and shifted parts of partitions (G.-N. Han).- A unification of two refinements of Eluer's partition theorem (W.Y.C. Chen, H.Y. Gao, K.Q. Ji, and M.Y.X. Li).- Identities and congruences for Rajamnujan's ω(q) (J.H. Bruinier and K. Ono).- On the subpartitions of the ordinary partitions (B. Kim).- Arithmetic properties of partitions with even parts distinct (G.E. Andrews, M.D. Hirschhorn, and J.A. Sellers).- Modularity and the distinct rank function (A. Folsom).- Cluster parity indices of partitions (K. Kurşungöz).- Ramanujan's partial theta series and parity in partitions (A.J. Yee).- A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan (K. Alladi).- New identities involving sums of the tails related to real quadratic fields (K. Bringmann and B. Kane).- Rademacher-type formulas for restricted partition and overpartition functions (A.V. Sills).- Bijective proofs using two-line matrix representations for partitions (E.H.M. Brietzke, J.P.O. Santos, and R. da Silva).- Balanced partitions (S. Vandervelde).- Partitions with rounded occurrences and attached parts (J. Lovejoy).- Shifted versions of the Bailey and Well-Poised Bailey lemmas (F. Jouhet).- Column-to-row operations on partitions: Garden of Eden partitions (B. Hopkins and L. Kolitsch).- Some Fine combinatorics (D.P. Little).- Symmetrically constrained compositions (M. Beck, I.M. Gessel, S. Lee, and C.D. Savage).- Bentley's conjecture on popularity toplist turnover under random copying (K.Eriksson, F. Jansson, and J. Sjöstrand).- Log-convexity properties of Schur functions and generalized hypergeometric functions of matrix argument (D.St.P. Richards).- Infinite families of strange partition congruences for broken 2-diamonds (P. Paule and S. Radu).- On the Andrew–Schur proof of the Rogers–Ramanujan identities (H.-C. Chan).- New multiple 6ψ6 summation formulas and related conjectures (V.P. Spiridonov and S.O. Warnaar).
Erscheinungsdatum | 15.10.2015 |
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Reihe/Serie | Developments in Mathematics ; 32 |
Zusatzinfo | 54 Illustrations, black and white; VIII, 472 p. 54 illus. |
Verlagsort | New York |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Schlagworte | additive number theory • Andrews-Olsson’s theorem • Euler’s partition theorem • hypergeometric functions • partitions and q-theory • Rogers-Ramanujan identities |
ISBN-10 | 1-4899-8835-1 / 1489988351 |
ISBN-13 | 978-1-4899-8835-5 / 9781489988355 |
Zustand | Neuware |
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