1 citations · 1 across the 2 of their papers we have counts for
7 papers
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…
On a partial sum related to the Euler totient function
Ankush Goswami
Recently, Bordellés, Dai, Heyman, Pan and Shparlinski in \cite{Igor} considered a partial sum involving the Euler totient function and the integer parts functi…
A -analogue for Euler's evaluations of the Riemann zeta function
Ankush Goswami
We provide a -analogue of Euler's formula for for . Our main results are stated in Theorems 3.1 and 3.2 below. The result generalizes a recent result o…
A -analogue for Euler's
Ankush Goswami
We give a -analogue of . Our main results are stated in Theorems 2.1 and 2.2 below.