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Atul Dixit · SciRah

Researcher profile · Semantic Scholar

Atul Dixit

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Atul Dixit — researcher profile on SciRah

h-index: 17
Works: 102
Citations: 896

Most-cited papers

Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q)and ϕ(q)
G. Andrews, Atul Dixit, A. Yee
201584 citations Open access
Semantic Scholar
New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan
B. Berndt, Atul Dixit, Arindam Roy, A. Zaharescu
201640 citations Open access
Semantic Scholar
Analogues of the general theta transformation formula
Atul Dixit
2011Proceedings of the Royal Society of Edinburgh. Section A Mathematics40 citations Open access
Semantic Scholar
A transformation formula involving the gamma and riemann zeta functions in Ramanujan's lost notebook
B. Berndt, Atul Dixit
200940 citations
Semantic Scholar
Character analogues of Ramanujan-type integrals involving the Riemann Ξ-function
Atul Dixit
201135 citations Open access
Semantic Scholar
Generalized Lambert series and arithmetic nature of odd zeta values
Atul Dixit, B. Maji
2017Proceedings of the Royal Society of Edinburgh. Section A Mathematics28 citations Open access
Semantic Scholar
Riesz-type criteria and theta transformation analogues
Atul Dixit, Arindam Roy, A. Zaharescu
201625 citations Open access
Semantic Scholar
Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations
Atul Dixit, V. Moll
201325 citations Open access
Semantic Scholar
The Zagier modification of Bernoulli numbers and a polynomial extension. Part I
Atul Dixit, V. Moll, C. Vignat
201225 citations Open access
Semantic Scholar
Analogues of a transformation formula of Ramanujan
Atul Dixit
200925 citations Open access
Semantic Scholar
Transformation formulas associated with integrals involving the Riemann Ξ-function
Atul Dixit
201121 citations
Semantic Scholar
Koshliakov zeta functions I: Modular relations
Atul Dixit, Rajat Gupta
2021Advances in Mathematics20 citations Open access
Semantic Scholar
Overpartitions related to the mock theta function $\omega(q)$
G. Andrews, Atul Dixit, Daniel Schultz, A. Yee
201620 citations Open access
Semantic Scholar
Ramanujan–Hardy–Littlewood–Riesz phenomena for Hecke forms
Atul Dixit, Arindam Roy, A. Zaharescu
201520 citations Open access
Semantic Scholar
Series transformations and integrals involving the Riemann Ξ-function
Atul Dixit
201020 citations Open access
Semantic Scholar
Partitions associated with the Ramanujan/Watson mock theta functions $\omega(q), \nu(q)$ and $\phi(q)$
G. Andrews, Atul Dixit, A. Yee
201518 citations
Semantic Scholar
Zeros of combinations of the Riemann ξ-function on bounded vertical shifts
Atul Dixit, Nicolas Robles, Arindam Roy, A. Zaharescu
201518 citations Open access
Semantic Scholar
Extended higher Herglotz functions I. Functional equations
Atul Dixit, Rajat Gupta, Rahul Kumar
2021Advances in Applied Mathematics17 citations Open access
Semantic Scholar
GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A GENERALIZATION OF RAMANUJAN’S FORMULA FOR $\unicode[STIX]{x1D701}(2m+1)$
Atul Dixit, Rajat Gupta, Rahul Kumar, B. Maji
2018Nagoya mathematical journal17 citations
Semantic Scholar
Sums of squares and products of Bessel functions
B. Berndt, Atul Dixit, Sun Kim, A. Zaharescu
2017Advances in Mathematics17 citations Open access
Semantic Scholar
Explicit transformations of certain Lambert series
Atul Dixit, Aashita Kesarwani, Rahul Kumar
2020Research in the Mathematical Sciences16 citations Open access
Semantic Scholar
Superimposing theta structure on a generalized modular relation
Atul Dixit, Rahul Kumar
2020Research in the Mathematical Sciences16 citations Open access
Semantic Scholar
A generalized modified Bessel function and a higher level analogue of the theta transformation formula
Atul Dixit, Aashita Kesarwani, V. Moll, N. Temme
201716 citations Open access
Semantic Scholar
Character analogues of theorems of Ramanujan, Koshliakov and Guinand
B. Berndt, Atul Dixit, J. Sohn
2011Advances in Applied Mathematics16 citations Open access
Semantic Scholar
Koshliakov kernel and identities involving the Riemann zeta function
Atul Dixit, Nicolas Robles, Arindam Roy, A. Zaharescu
201515 citations Open access
Semantic Scholar
A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis
Atul Dixit, Shiv K. Gupta, A. Vatwani
2022Journal of Mathematical Analysis and Applications13 citations Open access
Semantic Scholar
Partition implications of a three-parameter q-series identity
Atul Dixit, B. Maji
2018The Ramanujan journal13 citations
Semantic Scholar
Generalized higher order spt-functions
Atul Dixit, A. Yee
201213 citations
Semantic Scholar
A class of identities associated with Dirichlet series satisfying Hecke’s functional equation
B. Berndt, Atul Dixit, Rajat Gupta, A. Zaharescu
2021Proceedings of the American Mathematical Society12 citations Open access
Semantic Scholar
On squares of odd zeta values and analogues of Eisenstein series
Atul Dixit, Rajat Gupta
2019Advances in Applied Mathematics11 citations Open access
Semantic Scholar
RAMANUJAN’S INGENIOUS METHOD FOR GENERATING MODULAR-TYPE TRANSFORMATION FORMULAS
Atul Dixit
201311 citations
Semantic Scholar
Error functions, Mordell integrals and an integral analogue of partial theta function
Atul Dixit, Arindam Roy, A. Zaharescu
201610 citations Open access
Semantic Scholar
THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS
Atul Dixit, Jiu Lin, V. Moll, C. Vignat
2014Journal of the Australian Mathematical Society10 citations Open access
Semantic Scholar
Rank–Crank-type PDEs and generalized Lambert series identities
Song-Heng Chan, Atul Dixit, F. Garvan
201210 citations
Semantic Scholar
Convexity of Quotients of Theta Functions
Atul Dixit, Arindam Roy, A. Zaharescu
201110 citations Open access
Semantic Scholar
Untrodden pathways in the theory of the restricted partition function p(n, N)
Atul Dixit, Pramod Eyyunni, B. Maji, G. Sood
2018Journal of Combinatorial Theory9 citations Open access
Semantic Scholar
Modular relations involving generalized digamma functions
Atul Dixit, Sumukha Sathyanarayana, N. Sharan
2023Journal of Mathematical Analysis and Applications8 citations Open access
Semantic Scholar
Two general series identities involving modified Bessel functions and a class of arithmetical functions
B. Berndt, Atul Dixit, Rajat Gupta, A. Zaharescu
2022Canadian Journal of Mathematics - Journal Canadien de Mathematiques8 citations Open access
Semantic Scholar
On a theorem of A. I. Popov on sums of squares
B. Berndt, Atul Dixit, Sun Kim, A. Zaharescu
20168 citations Open access
Semantic Scholar
Zeros of combinations of the Riemann Ξ-function and the confluent hypergeometric function on bounded vertical shifts
Atul Dixit, Rahul Kumar, B. Maji, A. Zaharescu
2017Journal of Mathematical Analysis and Applications7 citations Open access
Semantic Scholar
The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions
T. Amdeberhan, Atul Dixit, Xiao Guan, Jiu Lin +3 more
20167 citations
Semantic Scholar
Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions
Atul Dixit, Sumukha Sathyanarayana, N. Sharan
20246 citations
Semantic Scholar
A GENERALIZED MODIFIED BESSEL FUNCTION AND EXPLICIT TRANSFORMATIONS OF CERTAIN LAMBERT SERIES
Atul Dixit, Aashita Kesarwani, Rahul Kumar
20206 citations
Semantic Scholar
On Hurwitz zeta function and Lommel functions
Atul Dixit, Rahul Kumar
2019International Journal of Number Theory6 citations Open access
Semantic Scholar
Recent developments pertaining to Ramanujan's formula for odd zeta values
Atul Dixit
20235 citations
Semantic Scholar
Ramanujan and Koshliakov Meet Abel and Plana
B. Berndt, Atul Dixit, Rajat Gupta, A. Zaharescu
20215 citations
Semantic Scholar
Modular-type transformations and integrals involving the Riemann ?-function
Atul Dixit
20185 citations
Semantic Scholar
Monotonicity Results for Dirichlet L-functions
Atul Dixit, Arindam Roy, A. Zaharescu
20135 citations Open access
Semantic Scholar
Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions
Atul Dixit, Sumukha Sathyanarayana, N. Sharan
2025Advances in Mathematics4 citations Open access
Semantic Scholar
Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ σ a
Soumyarup Banerjee, Atul Dixit, Shiv K. Gupta
2023Research in the Mathematical Sciences4 citations Open access
Semantic Scholar

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