13 citations · 17 across the 15 of their papers we have counts for
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Quantum modularity of partial theta series with periodic coefficients
Ankush Goswami, Robert Osburn
We explicitly prove the quantum modularity of partial theta series with even or odd periodic coefficients. As an application, we show that the Kontsevich-Zagier series $\mathscr{F}…
Congruences for generalized Fishburn numbers at roots of unity
Ankush Goswami
There has been significant recent interest in the arithmetic properties of the coefficients of and where is the Kontsevich-Zagier strange serie…
Some formulae for coefficients in restricted -products
Ankush Goswami, Venkata Raghu Tej Pantangi
In this paper, we derive some formulae involving coefficients of polynomials which occur quite naturally in the study of restricted partitions. Our method involves a recently disco…
On sums of coefficients of polynomials related to the Borwein conjectures
Ankush Goswami, Venkata Raghu Tej Pantangi
Recently, Li obtained an asymptotic formula for a certain partial sum involving coefficients for the polynomial in the First Borwein conjecture. As a consequence, he showed the pos…