图书简介

Preface./ Part I Personal Contributions./ The Worlds of George Andrews, a Daughter’s Take./ My Association and Collaboration with George Andrews ./ Ramanujan, His Lost Notebook, Its Importance./ Part II Photographs./ George Andrews: "Combinatory Analysis 80" Picture Book./ Part III Articles./ Dissections of Strange q/Series./ Dyson’s "Favorite" Identity and Chebyshev Polynomials of the Third and Fourth Kind./ A q/Translation Approach to Liu’s Calculus./ Combinations of Ranks and Cranks of Partitions Moduli 6, 9 and 12 and Their Comparison with the Partition Function./ Combinatorial Proofs of Two Euler/Type Identities Due to Andrews./ Noncommutative Catalan Numbers./ Elementary Polynomial Identities Involving q/Trinomial Coefficients./ A Partial Theta Function Borwein Conjecture./ A Note on Andrews’ Partitions with Parts Separated by Parity./ A Bijective Proof of a False Theta Function Identity from Ramanujan’s Lost Notebook./ Quasipolynomials and Maximal Coefficients of Gaussian Polynomials./ Finding Modular Functions for Ramanujan/Type Identities./ Partitions into Distinct Parts Modulo Powers of 5./ The A2 Rogers/Ramanujan Identities Revisited./ Properties of Multivariate b/Ary Stern Polynomials./ A Simple Proof of a Congruence for a Series Involving the Little q/Jacobi Polynomials./ D.H. Lehmer’s Tridiagonal Determinant: An Etude in (Andrews/Inspired) Experimental Mathematics./ Gaussian Binomial Coefficients with Negative Arguments./ A Lecture Hall Theorem for m/Falling Partitions./ New Fifth and Seventh Order Mock Theta Function Identities./ On Pattern/Avoiding Fishburn Permutations./ A q/Analogue for Euler’s (6) = 6 /945./ A Variant of IdentityFinder and Some New Identities of Rogers/Ramanujan/MacMahon Type./ Andrews/Gordon Type Series for Kanade/Russell Conjectures./ A Generalization of Schroeter’s Formula./ A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts./ Combinatory Classes of Compositions with Higher Order Conjugation./ Marking and Shifting a Part in Partitions./ On Witten’s Extremal Partition Functions./ A Proof of the Weierstrass Gap Theorem not Using the Riemann/Roch Formula./ Richaud/Degert Real Quadratic Fields and Maass Waveforms./ Sequentially Congruent Partitions and Related Bijections./ Singular Overpartitions and Partitions with Prescribed Hook Differences./ The Combinatorics of MacMahon’s Partial Fractions./ Twin Composites, Strange Continued Fractions, and a Transformation that Euler Missed (Twice)./ On the Andrews/Yee Identities Associated with Mock Theta Functions./ Congruences for q/Binomial Coefficients./ The Final Problem: A Series Identity from the Lost Notebook./ A Family of Identities That Yields aWide Variety of Partition Theorem.

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