1 citations · 1 across the 8 of their papers we have counts for
8 papers
Ramanujan's and Lim's Identities and Harmonic Maass--Jacobi Forms
Kathrin Bringmann, Rajat Gupta, Badri Vishal Pandey
We study an extension of Ramanujan's identities for odd zeta values by Lim and introduce Jacobi analogues of classical Eichler integrals of Eisenstein series. In negative weight we…
False and partial Eisenstein series related to unimodal sequences
Kathrin Bringmann, Badri Vishal Pandey, Jan-Willem van Ittersum
Motivated by the fact that the classical Jacobi theta function is the exponential generating function of the Eisenstein series, we study the exponential Taylor coeffici…
Quasimodularity and Limiting Behavior for Variations of MacMahon Series
Caner Nazaroglu, Badri Vishal Pandey, Ajit Singh
Motivated by the 1920's seminal work of Major MacMahon, Amdeberhan--Andrews--Tauraso recently introduced an infinite family of -series \[ \mathcal{U}_{t}(a;q):= \sum_{1\le n_1<n…
Eisenstein-type series associated to partition ranks
Kathrin Bringmann, Badri Vishal Pandey, Jan-Willem van Ittersum
In this paper, we introduce a class of functions that behave like classical Eisenstein series in many ways, but with a key distinction: only their non-holomorphic completions trans…
Traces of partition Eisenstein series and almost holomorphic modular forms
Kathrin Bringmann, Badri Vishal Pandey
Recently, Amderberhan, Griffin, Ono, and Singh started the study of "traces of partition Eisenstein series" and used it to give explicit formulas for many interesting functions. In…
Certain infinite products in terms of MacMahon type series
Seokho Jin, Badri Vishal Pandey, Ajit Singh
Recently, Ono and the third author discovered that the reciprocals of the theta series and have infinitely many closed formulas…
Limiting behaviour and modular completions of MacMahon-like q-series
Kathrin Bringmann, William Craig, Jan-Willem van Ittersum +1
Recently, MacMahon's generalized sum-of-divisor functions were shown to link partitions, quasimodular forms, and q-multiple zeta values. In this paper, we explore many further prop…
Higher Turán inequalities for the plane partition function
Badri Vishal Pandey
Here we study the roots of the doubly infinite family of Jensen polynomials associated to MacMahon's plane partition function . Recently,…