A. Dixit

发表

From sequences to polynomials and back, via operator orderings

C. Vignat, V. D. Angelis, V. Moll, 2013, 1303.6587.

Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for ζ(2m+1)

Rajat Gupta, A. Dixit, Rahul Kumar, 2018, 1801.09181.

GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A GENERALIZATION OF RAMANUJAN’S FORMULA FOR $\unicode[STIX]{x1D701}(2m+1)$

Rajat Gupta, A. Dixit, Rahul Kumar, 2018, Nagoya Mathematical Journal.

Generalized higher order spt-functions

A. Dixit, A. Yee, 2012, 1203.5848.

A Hypergeometric Inequality

V. Pillwein, V. Moll, A. Dixit, 2016 .

Explicit transformations of certain Lambert series

R. Kumar, A. Dixit, Aashita Kesarwani, 2020, Research in the Mathematical Sciences.

Lambert series of logarithm, the derivative of Deninger's function $R(z)$ and a mean value theorem for $\zeta\left(\frac{1}{2}-it\right)\zeta'\left(\frac{1}{2}+it\right)$

A. Dixit, Soumyarup Banerjee, Shivajee Gupta, 2022, 2205.11351.

Generalizations of the Andrews–Yee identities associated with the mock theta functions $$\omega (q)$$ and $$\nu (q)$$

B. Berndt, Rajat Gupta, A. Dixit, 2021, Journal of Algebraic Combinatorics.

A finite analogue of a $q$-series identity of Bhoria, Eyyunni and Maji and its applications

A. Dixit, Khushbu Patel, 2022, 2207.00044.

A GENERALIZED MODIFIED BESSEL FUNCTION AND EXPLICIT TRANSFORMATIONS OF CERTAIN LAMBERT SERIES

A. Dixit, Rahul Kumar, Aashita Kesarwani, 2020 .

A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis

A. Vatwani, A. Dixit, Shiv Gupta, 2022, Journal of Mathematical Analysis and Applications.

Applications of Lipschitz summation formula and a generalization of Raabe's cosine transform

R. Kumar, A. Dixit, 2022, 2209.12658.

Overpartitions related to the mock theta function $\omega(q)$

G. Andrews, A. Dixit, A. Yee, 2016, 1603.04352.

The Zagier modification of Bernoulli numbers and a polynomial extension. Part I

C. Vignat, V. Moll, A. Dixit, 2013, The Ramanujan Journal.

New representations for $\sigma(q)$ via reciprocity theorems

A. Dixit, Koustav Banerjee, 2016, 1607.05651.

Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ σ a

A. Dixit, Shiv Gupta, S. Banerjee, 2023, Research in the Mathematical Sciences.

Extended higher Herglotz functions I. Functional equations

Atul Dixit, Rahul Kumar, Rajat Gupta, 2021, Adv. Appl. Math..

Asymptotics and exact formulas for Zagier polynomials

C. Vignat, M. Glasser, V. Moll, 2015, 1506.07612.

The Zagier polynomials. Part III: Asymptotics and Exact formulas

C. Vignat, M. Glasser, V. Moll, 2015 .

The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions

C. Vignat, A. Kuznetsov, V. Moll, 2016 .

Rank–Crank-type PDEs and generalized Lambert series identities

Song Heng Chan, A. Dixit, F. Garvan, 2012, 1201.1663.

Modified Nörlund polynomials

C. Vignat, V. Moll, A. Dixit, 2015, The Ramanujan Journal.

Modified N\"orlund polynomials

C. Vignat, V. Moll, A. Dixit, 2014, 1411.0903.

The Zagier modification of Bernoulli numbers and a polynomial extension. Part I

C. Vignat, V. Moll, A. Dixit, 2012, 1209.4110.

Modified Nörlund polynomials

C. Vignat, V. Moll, A. Dixit, 2017 .

THE ZAGIER MODIFICATION OF BERNOULLI NUMBERS

C. Vignat, V. Moll, A. Dixit, 2012 .

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

G. Andrews, A. Dixit, A. Yee, 2015 .

Partitions associated with the Ramanujan/Watson mock theta functions $\omega(q), \nu(q)$ and $\phi(q)$

G. Andrews, A. Dixit, A. Yee, 2015, 1502.06860.

Generalizations of the Andrews–Yee identities associated with the mock theta functions ! ( q ) and (cid:2) ( q )

B. Berndt, Rajat Gupta, A. Dixit, 2021 .

Combinatorial identities associated with a bivariate generating function for overpartition pairs

Atul Dixit, Ankush Goswami, A. Dixit, 2022, Adv. Appl. Math..

On Hurwitz zeta function and Lommel functions

A. Dixit, Rahul Kumar, 2019, International Journal of Number Theory.

New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan

B. Berndt, A. Zaharescu, Arindam Roy, 2016, 1608.03670.

THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS

C. Vignat, V. Moll, Lin Jiu, 2014, Journal of the Australian Mathematical Society.

Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations

V. Moll, A. Dixit, 2013, 1312.1232.

Analogues of the general theta transformation formula

A. Dixit, 2011, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Character analogues of theorems of Ramanujan, Koshliakov and Guinand

Bruce C. Berndt, Atul Dixit, Jaebum Sohn, 2011, Adv. Appl. Math..

Ramanujan–Hardy–Littlewood–Riesz phenomena for Hecke forms

A. Zaharescu, Arindam Roy, A. Dixit, 2015 .

Ramanujan's Beautiful Integrals

Bruce C. Berndt, Atul Dixit, B. Berndt, 2021, Hardy-Ramanujan Journal.

Voronoi summation formula for the generalized divisor function $\sigma_{z}^{(k)}(n)$

A. Vatwani, A. Dixit, B. Maji, 2023, 2303.09937.

On a theorem of A. I. Popov on sums of squares

B. Berndt, A. Zaharescu, A. Dixit, 2016, 1610.05840.

Sums of squares and products of Bessel functions

B. Berndt, A. Zaharescu, A. Dixit, 2017, Advances in Mathematics.

Riesz-type criteria and theta transformation analogues

A. Zaharescu, Arindam Roy, A. Dixit, 2016 .

Character analogues of Ramanujan-type integrals involving the Riemann Ξ-function

A. Dixit, 2011, 1102.2680.