Combinatory Analysis

Dedicated to George Andrews

Häftad, Engelska, 2015

Av Krishnaswami Alladi, Peter Paule, James Sellers, Ae Ja Yee

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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.

Produktinformation

Utgivningsdatum2015-08-06
Mått155 x 235 x 26 mm
Vikt721 g
FormatHäftad
SpråkEngelska
SerieDevelopments in Mathematics
Antal sidor472
FörlagSpringer-Verlag New York Inc.
ISBN9781489988355

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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).