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E-grāmata: George E. Andrews 80 Years of Combinatory Analysis

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  • Formāts: PDF+DRM
  • Sērija : Trends in Mathematics
  • Izdošanas datums: 10-Feb-2021
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030570507
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George E. Andrews 80 Years of Combinatory AnalysisPalielināt
  • Formāts: PDF+DRM
  • Sērija : Trends in Mathematics
  • Izdošanas datums: 10-Feb-2021
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030570507
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This book presents a printed testimony for the fact that George Andrews, one of the world’s leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80. To honor George Andrews on this occasion, the conference “Combinatory Analysis 2018” was organized at the Pennsylvania State University from June 21 to 24, 2018.
This volume comprises the original articles from the Special Issue “Combinatory Analysis 2018 – In Honor of George Andrews’ 80th Birthday” resulting from the conference and published in Annals of Combinatorics.
In addition to the 37 articles of the Andrews 80 Special Issue, the book includes two new papers. These research contributions explore new grounds and present new achievements, research trends, and problems in the area.

The volume is complemented by three special personal contributions: “The Worlds of George Andrews, a daughter’s take” by Amy Alznauer, “My association and collaboration with George Andrews” by Krishna Alladi, and “Ramanujan, his Lost Notebook, its importance” by Bruce Berndt.
Another aspect which gives this Andrews volume a truly unique character is the “Photos” collection.
In addition to pictures taken at “Combinatory Analysis 2018”, the editors selected a variety of photos, many of them not available elsewhere: “Andrews in Austria”, “Andrews in China”, “Andrews in Florida”, “Andrews in Illinois”, and “Andrews in India”.

This volume will be of interest to researchers, PhD students, and interested practitioners working in the area of Combinatory Analysis, q-Series, and related fields.





Preface.- Part I Personal Contributions.- The Worlds of George Andrews,
a Daughters 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.- Dysons Favorite Identity
and Chebyshev Polynomials of the Third and Fourth Kind.- A q-Translation
Approach to Lius 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 Ramanujans 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
RogersRamanujan 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. Lehmers 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 Eulers (6) = 6
/945.- A Variant of IdentityFinder and Some New Identities of
RogersRamanujanMacMahon Type.- AndrewsGordon Type Series for
KanadeRussell Conjectures.- A Generalization of Schröters Formula.- A
Truncated Theta Identity ofGauss and Overpartitions into Odd Parts.-
Combinatory Classes of Compositions with Higher Order Conjugation.- Marking
and Shifting a Part in Partitions.- On Wittens Extremal Partition
Functions.- A Proof of the Weierstraß Gap Theorem not Using the RiemannRoch
Formula.- RichaudDegert Real Quadratic Fields and Maass
Waveforms.- Sequentially Congruent Partitions and Related Bijections.-
Singular Overpartitions and Partitions with Prescribed Hook Differences.- The
Combinatorics of MacMahons Partial Fractions.- Twin Composites, Strange
Continued Fractions, and a Transformation that Euler Missed (Twice).- On the
AndrewsYee 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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