Publications (31)
Rank-Crank type PDEs and generalized Lambert series identities
Song Heng Chan, Atul Dixit, Frank G. Garvan
Analogues of a transformation formula of Ramanujan
Atul Dixit
Partition implications of a new three parameter $q$-series identity
Atul Dixit, Bibekananda Maji
New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan
Bruce C. Berndt, Atul Dixit, Arindam Roy +1
A transformation formula involving the Gamma and Riemann zeta functions in Ramanujan's Lost Notebook
Bruce C. Berndt, Atul Dixit
Sums of squares and products of Bessel functions
Bruce C. Berndt, Atul Dixit, Sun Kim +1
The unimodality of a polynomial coming from a rational integral. Back to the original proof
Tewodros Amdeberhan, Atul Dixit, Xiao Guan +2
The Zagier modification of Bernoulli numbers and a polynomial extension. Part I
Atul Dixit, Victor H. Moll, Christophe Vignat
Analogues of the general theta transformation formula
Atul Dixit
Convexity of Quotients of Theta Functions
Atul Dixit, Arindam Roy, Alexandru Zaharescu
Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations
Atul Dixit, Victor H. Moll
The finite Fourier transform of classical polynomials
Atul Dixit, Lin Jiu, Victor H. Moll +1
Asymptotics and exact formulas for Zagier polynomials
Atul Dixit, M. Lawrence Glasser, Victor H. Moll +1
A simple proof of a congruence for a series involving the little $q$-Jacobi polynomials
Atul Dixit
Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory
Atul Dixit, Arindam Roy
New representations for $Ï(q)$ via reciprocity theorems
Koustav Banerjee, Atul Dixit
Koshliakov kernel and identities involving the Riemann zeta function
Atul Dixit, Nicolas Robles, Arindam Roy +1
Modified Nörlund polynomials
Atul Dixit, Adam Kabza, Victor H. Moll +1
Partitions associated with the Ramanujan/Watson mock theta functions $Ï(q), ν(q)$ and $Ï(q)$
George E. Andrews, Atul Dixit, Ae Ja Yee
Character analogues of Ramanujan type integrals involving the Riemann $Î$-function
Atul Dixit
Monotonicity Results for Dirichlet L-functions
Atul Dixit, Arindam Roy, Alexandru Zaharescu
The Zagier polynomials. Part II: Arithmetic properties of coefficients
Mark W. Coffey, Valerio De Angelis, Atul Dixit +3
Error functions, Mordell integrals and an integral analogue of partial theta function
Atul Dixit, Arindam Roy, Alexandru Zaharescu
Zeros of combinations of the Riemann $Î$-function and the confluent hypergeometric function on bounded vertical shifts
Atul Dixit, Rahul Kumar, Bibekananda Maji +1
On a theorem of A. I. Popov on sums of squares
Bruce C. Berndt, Atul Dixit, Sun Kim +1
A generalized modified Bessel function and a higher level analogue of the theta transformation formula
Atul Dixit, Aashita Kesarwani, Victor H. Moll +1
Untrodden pathways in the theory of the restricted partition function $p(n, N)$
Atul Dixit, Pramod Eyyunni, Bibekananda Maji +1
Generalized higher order spt-functions
Atul Dixit, Ae Ja Yee
Overpartitions related to the mock theta function $Ï(q)$
George E. Andrews, Atul Dixit, Daniel Schultz +1
Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for $ζ(2m+1)$
Atul Dixit, Rajat Gupta, Rahul Kumar +1
A Ramanujan-type formula for $ζ^{2}(2m+1)$ and its generalizations
Atul Dixit, Rajat Gupta