This is the fifth and final volume that the authors have written in their examination of all the
claims made by S. Ramanujan in The Lost Notebook and Other Unpublished Papers …

The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that
were first discovered in 1894. Over the past several decades these identities, and identities …

It is shown how many of the partial theta function identities in Ramanujan's lost notebook
can be generalized to infinite families of such identities. Key in our construction is the Bailey …

q-Fibonacci Polynomials Page 1 ^-FIBONACCI POLYNOMIALS Johann Cigler Institut ftir
Mathematik, Universitat Wien, A-1090 Wien, Stradlhofgasse 4, Austria (Submitted November …

In my research on the theory of partitions and related questions, I have often used recurrent
integer sequences such as the Fibonacci numbers to obtain hints about the behavior of …

We introduce the notion of a Mahonian pair. Consider the set, P⁎, of all words having the
positive integers as alphabet. Given finite subsets S, T⊂ P⁎, we say that (S, T) is a …

We describe a Mathematica package for dealing with q-holonomic sequences and power
series. The package is intended as aq-analogue of the Maple package gfun and the …

We describe a new software package, named SumCracker, for proving and finding identities
involving symbolic sums and related objects. SumCracker is applicable to a wide range of …

The aim of these lecture notes is to provide a self-contained exposition of several fascinating
formulas discovered by Srinivasa Ramanujan. Two central results in these notes are:(1) the …

A New (But Very Nearly Old) Proof of the Rogers–Ramanujan Identities Page 1 Symmetry,
Integrability and Geometry: Methods and Applications SIGMA 20 (2024), 059, 10 pages A New (But …