Amazon cover image
Image from Amazon.com
Image from Google Jackets

George E. Andrews : 80 years of combinatory analysis / George E Andrews

By: Contributor(s): Material type: TextTextPublisher number: :International Book Distributors | :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi Series: Trends in mathematicsPublication details: Cham :Birkhäuser, 2021Description: ix, 810p. 24cmISBN:
  • 9783030570491
Subject(s): DDC classification:
  • 511.6 AND
Contents:
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 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 Eulers -- A Variant of IdentityFinder and Some New Identities of RogersRamanujanMacMahon Type -- AndrewsGordon Type Series for KanadeRussell Conjectures -- A Generalization of Schroters 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 Wittens Extremal Partition Functions -- A Proof of the Weierstra 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.
Summary: This book presents a printed testimony for the fact that George Andrews, one of the worlds 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 daughters 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Call number Status Notes Date due Barcode
Books Books SNU LIBRARY 511.6 AND (Browse shelf(Opens below)) Checked out to Dr. Neha Gupta (20500087) Costly 01/09/2023 00:00 M388
Total holds: 0

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 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 Eulers --
A Variant of IdentityFinder and Some New Identities of RogersRamanujanMacMahon Type --
AndrewsGordon Type Series for KanadeRussell Conjectures --
A Generalization of Schroters 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 Wittens Extremal Partition Functions --
A Proof of the Weierstra 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.

This book presents a printed testimony for the fact that George Andrews, one of the worlds 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 daughters 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.

There are no comments on this title.

to post a comment.
Previous
Back to results
Next
Close
Share
© Copyright Shiv Nadar University 2012. All Rights Reserved.  Disclaimer |  Sitemap
The Shiv Nadar University has been established under U.P. Act No 12 of 2011. Shiv Nadar University is UGC Approved.