Special Issue on Basic Hypergeometric Series Associated with Root Systems and Applications in honor of Stephen C. Milne's 75th birthday

The Guest Editors for this special issue are

Gaurav Bhatnagar (Ashoka University, India)
Frank Garvan (University of Florida, USA)
Christian Krattenthaler (University of Vienna, Austria)
Michael Schlosser (University of Vienna, Austria)

This special issue is dedicated to the 75th birthday of Stephen Milne and his many groundbreaking contributions to the theory of basic hypergeometric series associated with root systems including their applications to number theory and combinatorics.

In particular, topics for this issue include

• ordinary, basic and elliptic hypergeometric series and integrals associated with root systems;
• special functions related to Lie groups or quantum groups;
• Rogers–Ramanujan type identities (and their variants and generalizations to multiple sums);
• applications of $q$-series and theta function identities to number theory and combinatorics;
• other topics related to Stephen Milne's work.

There is no limit to the length of an article. Deadline for paper submission is November 30, 2024.

How to Submit an Article to the Issue.

All articles will go through the standard peer reviewing procedure of SIGMA.

Papers in this Issue:

Rogers-Ramanujan Type Identities Involving Double Sums

Dandan Chen and Siyu Yin
SIGMA 20 (2024), 103,   6 pages   [ abs   pdf ]

Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts

Frank G. Garvan and Rishabh Sarma
SIGMA 20 (2024), 097, 14 pages   [ abs   pdf ]

Proof of Two Multivariate $q$-Binomial Sums Arising in Gromov-Witten Theory

Christian Krattenthaler
SIGMA 20 (2024), 089,   6 pages   [ abs   pdf ]

On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series

Zhi-Guo Liu
SIGMA 20 (2024), 086, 37 pages   [ abs   pdf ]

On Some Special Cases of Gaiotto's Positivity Conjecture

Pavel Etingof
SIGMA 20 (2024), 063,   8 pages   [ abs   pdf ]

A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities

Hjalmar Rosengren
SIGMA 20 (2024), 059, 10 pages   [ abs   pdf ]