Atul Dixit

From MaRDI portal
Person:259716

Available identifiers

zbMath Open dixit.atulMaRDI QIDQ259716

List of research outcomes

PublicationDate of PublicationType
Modular type transformations and integrals involving the Riemann \(\Xi\)-function2024-05-07Paper
Extended higher Herglotz functions. I: Functional equations2024-01-29Paper
Recent developments pertaining to Ramanujan's formula for odd zeta values2023-12-24Paper
Two general series identities involving modified Bessel functions and a class of arithmetical functions2023-10-26Paper
Explicit transformations for generalized Lambert series associated with the divisor function \(\sigma_a^{(N)}(n)\) and their applications2023-10-17Paper
Modular relations involving generalized digamma functions2023-06-19Paper
https://portal.mardi4nfdi.de/entity/Q58836332023-03-21Paper
Voronoi summation formula for the generalized divisor function $\sigma_{z}^{(k)}(n)$2023-03-17Paper
Modified Bessel Functions in Analytic Number Theory2023-03-04Paper
Combinatorial identities associated with a bivariate generating function for overpartition pairs2022-12-08Paper
A finite analogue of a \(q\)-series identity of Bhoria, Eyyunni and Maji and its applications2022-11-23Paper
A modular relation involving a generalized digamma function and asymptotics of some integrals containing $\Xi(t)$2022-11-16Paper
A class of identities associated with Dirichlet series satisfying Hecke’s functional equation2022-09-29Paper
Applications of Lipschitz summation formula and a generalization of Raabe's cosine transform2022-09-26Paper
A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis2022-07-22Paper
A finite analogue of a $q$-series identity of Bhoria, Eyyunni and Maji and its applications2022-06-30Paper
Explicit transformations of certain Lambert series2022-06-22Paper
Generalizations of the Andrews-Yee identities associated with the mock theta functions \(\omega (q)\) and \(\nu (q)\)2022-05-23Paper
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)$2022-05-23Paper
Combinatorial identities associated with a bivariate generating function for overpartition pairs2022-01-18Paper
Ramanujan and Koshliakov Meet Abel and Plana2021-12-17Paper
Koshliakov zeta functions I: modular relations2021-12-01Paper
A Class of Identities Associated with Dirichlet Series Satisfying Hecke's Functional Equation2021-08-31Paper
Ramanujan's Beautiful Integrals2021-08-27Paper
Superimposing theta structure on a generalized modular relation2021-07-28Paper
On Hurwitz zeta function and Lommel functions2021-04-01Paper
Untrodden pathways in the theory of the restricted partition function \(p(n,N)\)2021-02-22Paper
Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory2021-02-02Paper
GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A GENERALIZATION OF RAMANUJAN’S FORMULA FOR2020-08-18Paper
Partition implications of a three-parameter \(q\)-series identity2020-05-19Paper
Generalized Lambert series and arithmetic nature of odd zeta values2020-03-27Paper
A simple proof of a congruence for a series involving the little \(q\)-Jacobi polynomials2020-02-20Paper
On squares of odd zeta values and analogues of Eisenstein series2019-10-10Paper
A Ramanujan-type formula for $\zeta^{2}(2m+1)$ and its generalizations2019-01-29Paper
Zeros of combinations of the Riemann \(\Xi\)-function and the confluent hypergeometric function on bounded vertical shifts2018-06-28Paper
New representations for \(\sigma (q)\) via reciprocity theorems2018-06-21Paper
Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for $\zeta(2m+1)$2018-01-28Paper
Overpartitions related to the mock theta function $\omega (q)$2018-01-22Paper
A generalized modified Bessel function and a higher level analogue of the theta transformation formula2017-12-12Paper
Modified Nörlund polynomials2017-05-29Paper
Error functions, Mordell integrals and an integral analogue of a partial theta function2017-01-25Paper
Asymptotics and exact formulas for Zagier polynomials2016-12-16Paper
New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan2016-10-21Paper
https://portal.mardi4nfdi.de/entity/Q28134482016-06-24Paper
A hypergeometric inequality2016-03-18Paper
Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)2016-01-21Paper
Koshliakov kernel and identities involving the Riemann zeta function2015-12-21Paper
Riesz-type criteria and theta transformation analogues2015-12-07Paper
A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook2015-10-14Paper
THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS2015-03-27Paper
Monotonicity results for Dirichlet \(L\)-functions2015-03-10Paper
Ramanujan-Hardy-Littlewood-Riesz phenomena for Hecke forms2015-02-11Paper
Zeros of combinations of the Riemann \(\xi\)-function on bounded vertical shifts2015-02-04Paper
https://portal.mardi4nfdi.de/entity/Q29396252015-01-22Paper
The Zagier polynomials. II: Arithmetic properties of coefficients2015-01-16Paper
Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations2014-11-20Paper
The Zagier modification of Bernoulli numbers and a polynomial extension. I2014-09-26Paper
The unimodality of a polynomial coming from a rational integral. Back to the original proof2014-08-26Paper
From sequences to polynomials and back, via operator orderings2014-04-28Paper
Analogues of the general theta transformation formula2013-07-10Paper
Generalized higher order spt-functions2013-06-26Paper
Rank-crank-type PDEs and generalized Lambert series identities2013-06-26Paper
Character analogues of Ramanujan-type integrals involving the Riemann \(\Xi \)-function2012-06-26Paper
Transformation formulas associated with integrals involving the Riemann \(\Xi\)-function2011-11-17Paper
Convexity of quotients of theta functions2011-10-21Paper
ANALOGUES OF A TRANSFORMATION FORMULA OF RAMANUJAN2011-09-27Paper
Character analogues of theorems of Ramanujan, Koshliakov and Guinand2011-05-17Paper
Series transformations and integrals involving the Riemann \(\Xi \)-function2010-05-19Paper
The Laplace transform of the psi function2010-03-08Paper
Monotonicity of quotients of theta functions related to an extremal problem on harmonic measure2007-09-26Paper
https://portal.mardi4nfdi.de/entity/Q46755842005-05-04Paper

Research outcomes over time


Doctoral students

No records found.


Known relations from the MaRDI Knowledge Graph

PropertyValue
MaRDI profile typeMaRDI person profile
instance ofhuman


This page was built for person: Atul Dixit