Atul Dixit

activity

20092026

most citedGeneralized Lambert series and arithmetic nature of odd zeta values

23 citations · 35 across the 50 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.NT2015

Asymptotics and exact formulas for Zagier polynomials

Atul Dixit, M. Lawrence Glasser, Victor H. Moll +1

In 1998 Don Zagier introduced the modified Bernoulli numbers $B_{n}^{*}$ and showed that they satisfy amusing variants of some properties of Bernoulli numbers. In particular, he st…

math.NT2015

Koshliakov kernel and identities involving the Riemann zeta function

Atul Dixit, Nicolas Robles, Arindam Roy +1

Some integral identities involving the Riemann zeta function and functions reciprocal in a kernel involving the Bessel functions $J_{z} (x), Y_{z} (x)$ and $K_{z} (x)$ are studied. In…

math.NT2015

Partitions associated with the Ramanujan/Watson mock theta functions $ω (q), ν (q)$ and $ϕ (q)$

George E. Andrews, Atul Dixit, Ae Ja Yee

The generating function of partitions with repeated (resp. distinct) parts such that each odd part is less than twice the smallest part is shown to be the third order mock theta fu…

Asymptotics and exact formulas for Zagier polynomials

Koshliakov kernel and identities involving the Riemann zeta function

Partitions associated with the Ramanujan/Watson mock theta functions ω(q),ν(q) and ϕ(q)

Partitions associated with the Ramanujan/Watson mock theta functions $ω (q), ν (q)$ and $ϕ (q)$