George E. Andrews 80 Years of Combinatory Analysis (el. knyga) (skaityta knyga) | knygos.lt

Aprašymas

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 Étude 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 ζ(6) = π6 /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 Schröter'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.