Atul Dixit

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All published works

Action	Title	Year	Authors
+ PDF Chat	On a function of Ramanujan twisted by a logarithm	2025	Atul Dixit Sumukha Sathyanarayana N. Guru Sharan
+ PDF Chat	The Rogers-Ramanujan dissection of a theta function	2024	Atul Dixit Kumar Gaurav
+ PDF Chat	Voronoi summation formulas, oscillations of Riesz sums, and Ramanujan-Guinand and Cohen type identities	2024	Shashank Charge Atul Dixit
+ PDF Chat	On Hurwitz zeta function and Lommel functions	2024	Atul Dixit Rahul Kumar
+ PDF Chat	Recent developments pertaining to Ramanujan’s formula for odd zeta values	2024	Atul Dixit
+ PDF Chat	Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions	2024	Atul Dixit Sumukha Sathyanarayana N. Guru Sharan
+ PDF Chat	Modular relations involving generalized digamma functions	2024	Atul Dixit Sumukha Sathyanarayana N. Guru Sharan
+	Applications of the Lipschitz Summation Formula and a Generalization of Raabe’s Cosine Transform	2023	Atul Dixit Rahul Kumar
+ PDF Chat	Extended higher Herglotz functions I. Functional equations	2023	Atul Dixit Rajat Gupta Rahul Kumar
+	Lambert series of logarithm, the derivative of Deninger’s function and a mean value theorem for	2023	Soumyarup Banerjee Atul Dixit Shivajee Gupta
+	Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications	2023	Soumyarup Banerjee Atul Dixit Shivajee Gupta
+ PDF Chat	A modular relation involving a generalized digamma function and asymptotics of some integrals containing Ξ(t)	2023	Atul Dixit Rahul Kumar
+	Modified Bessel Functions in Analytic Number Theory	2023	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	Voronoi summation formula for the generalized divisor function $σ_{z}^{(k)}(n)$	2023	Atul Dixit Bibekananda Maji Akshaa Vatwani
+	Explicit transformations for generalized Lambert series associated with the divisor function $σ_{a}^{(N)}(n)$ and their applications	2023	Soumyarup Banerjee Atul Dixit Shivajee Gupta
+	Modular relations involving generalized digamma functions	2023	Atul Dixit Sumukha Sathyanarayana N. Guru Sharan
+	Recent developments pertaining to Ramanujan's formula for odd zeta values	2023	Atul Dixit
+ PDF Chat	A finite analogue of a q-series identity of Bhoria, Eyyunni and Maji and its applications	2022	Atul Dixit Khushbu Patel
+ PDF Chat	Two general series identities involving modified Bessel functions and a class of arithmetical functions	2022	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+ PDF Chat	Combinatorial identities associated with a bivariate generating function for overpartition pairs	2022	Atul Dixit Ankush Goswami
+ PDF Chat	A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis	2022	Atul Dixit Shivajee Gupta Akshaa Vatwani
+	A class of identities associated with Dirichlet series satisfying Hecke’s functional equation	2022	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+ PDF Chat	Explicit transformations of certain Lambert series	2022	Atul Dixit Aashita Kesarwani Rahul Kumar
+	Combinatorial identities associated with a bivariate generating function for overpartition pairs	2022	Atul Dixit Ankush Goswami
+	Two General Series Identities Involving Modified Bessel Functions and a Class of Arithmetical Functions	2022	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	Lambert series of logarithm, the derivative of Deninger's function $R(z)$ and a mean value theorem for $ζ\left(\frac{1}{2}-it\right)ζ'\left(\frac{1}{2}+it\right)$	2022	Soumyarup Banerjee Atul Dixit Shivajee Gupta
+	A modular relation involving non-trivial zeros of the Dedekind zeta function, and the Generalized Riemann Hypothesis	2022	Atul Dixit Shivajee Gupta Akshaa Vatwani
+	A finite analogue of a $q$-series identity of Bhoria, Eyyunni and Maji and its applications	2022	Atul Dixit Khushbu Patel
+	Applications of Lipschitz summation formula and a generalization of Raabe's cosine transform	2022	Atul Dixit Rahul Kumar
+	A modular relation involving a generalized digamma function and asymptotics of some integrals containing $Ξ(t)$	2022	Atul Dixit Rahul Kumar
+ PDF Chat	Koshliakov zeta functions I: Modular relations	2021	Atul Dixit Rajat Gupta
+ PDF Chat	Generalizations of the Andrews–Yee identities associated with the mock theta functions $$\omega (q)$$ and $$\nu (q)$$	2021	Bruce C. Berndt Atul Dixit Rajat Gupta
+	Koshliakov zeta functions I: Modular Relations	2021	Atul Dixit Rajat Gupta
+ PDF Chat	Superimposing theta structure on a generalized modular relation	2021	Atul Dixit Rahul Kumar
+ PDF Chat	Ramanujan's Beautiful Integrals	2021	Bruce C. Berndt Atul Dixit
+	Ramanujan's Beautiful Integrals	2021	Bruce C. Berndt Atul Dixit
+ PDF Chat	Untrodden pathways in the theory of the restricted partition function p(n,N)	2021	Atul Dixit Pramod Eyyunni Bibekananda Maji G. Sood
+	Generalizations of the Andrews-Yee identities associated with the mock theta functions $\omega(q)$ and $\nu(q)$	2021	Bruce C. Berndt Atul Dixit Rajat Gupta
+	Ramanujan and Koshliakov Meet Abel and Plana	2021	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	A Class of Identities Associated with Dirichlet Series Satisfying Hecke's Functional Equation	2021	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	Koshliakov zeta functions I: Modular Relations	2021	Atul Dixit Rajat Gupta
+	Extended higher Herglotz functions I. Functional equations	2021	Atul Dixit Rajat Gupta Rahul Kumar
+	Ramanujan's Beautiful Integrals	2021	Bruce C. Berndt Atul Dixit
+	Generalizations of the Andrews-Yee identities associated with the mock theta functions $ω(q)$ and $ν(q)$	2021	Bruce C. Berndt Atul Dixit Rajat Gupta
+	A generalized modified Bessel function and explicit transformations of certain Lambert series	2020	Atul Dixit Aashita Kesarwani Rahul Kumar
+ PDF Chat	Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory	2020	Atul Dixit Arindam Roy
+	Superimposing theta structure on a generalized modular relation	2020	Atul Dixit Rahul Kumar
+ PDF Chat	On Hurwitz zeta function and Lommel functions	2020	Atul Dixit Rahul Kumar
+	Explicit transformations of certain Lambert series	2020	Atul Dixit Aashita Kesarwani Rahul Kumar
+	Superimposing theta structure on a generalized modular relation	2020	Atul Dixit Rahul Kumar
+ PDF Chat	A Simple Proof of a Congruence for a Series Involving the Little q-Jacobi Polynomials	2019	Atul Dixit
+ PDF Chat	A Simple Proof of a Congruence for a Series Involving the Little q-Jacobi Polynomials	2019	Atul Dixit
+	Partition implications of a three-parameter q-series identity	2019	Atul Dixit Bibekananda Maji
+	Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory	2019	Atul Dixit Arindam Roy
+	On squares of odd zeta values and analogues of Eisenstein series	2019	Atul Dixit Rajat Gupta
+	A Ramanujan-type formula for $\zeta^{2}(2m+1)$ and its generalizations	2019	Atul Dixit Rajat Gupta
+ PDF Chat	Generalized Lambert series and arithmetic nature of odd zeta values	2019	Atul Dixit Bibekananda Maji
+	Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory	2019	Atul Dixit Arindam Roy
+	On Hurwitz zeta function and Lommel functions	2019	Atul Dixit Rahul Kumar
+	A simple proof of a congruence for a series involving the little $q$-Jacobi polynomials	2019	Atul Dixit
+	A Ramanujan-type formula for $ζ^{2}(2m+1)$ and its generalizations	2019	Atul Dixit Rajat Gupta
+	Untrodden pathways in the theory of the restricted partition function $p(n, N)$	2018	Atul Dixit Pramod Eyyunni Bibekananda Maji G. Sood
+	GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A GENERALIZATION OF RAMANUJAN’S FORMULA FOR	2018	Atul Dixit Rajat Gupta Rahul Kumar Bibekananda Maji
+ PDF Chat	Sums of squares and products of Bessel functions	2018	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	Zeros of combinations of the Riemann Ξ-function and the confluent hypergeometric function on bounded vertical shifts	2018	Atul Dixit Rahul Kumar Bibekananda Maji Alexandru Zaharescu
+	Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for $ζ(2m+1)$	2018	Atul Dixit Rajat Gupta Rahul Kumar Bibekananda Maji
+	Partition implications of a new three parameter $q$-series identity	2018	Atul Dixit Bibekananda Maji
+	Untrodden pathways in the theory of the restricted partition function $p(n, N)$	2018	Atul Dixit Pramod Eyyunni Bibekananda Maji G. Sood
+	Zeros of combinations of the Riemann $\Xi$-function and the confluent hypergeometric function on bounded vertical shifts	2017	Atul Dixit Rahul Kumar Bibekananda Maji Alexandru Zaharescu
+	A generalized modified Bessel function and a higher level analogue of the theta transformation formula	2017	Atul Dixit Aashita Kesarwani Victor H. Moll
+	A generalized modified Bessel function and a higher level analogue of the theta transformation formula	2017	Atul Dixit Aashita Kesarwani Victor H. Moll Nico Μ. Τemme
+	Sums of squares and products of Bessel functions	2017	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+ PDF Chat	Overpartitions related to the mock theta function $\omega (q)$	2017	George E. Andrews Atul Dixit Daniel Schultz Ae Ja Yee
+ PDF Chat	New Representations for $$\sigma (q)$$ via Reciprocity Theorems	2017	Koustav Banerjee Atul Dixit
+	A generalized modified Bessel function and a higher level analogue of the theta transformation formula	2017	Atul Dixit Aashita Kesarwani Victor H. Moll Nico Μ. Τemme
+	Sums of squares and products of Bessel functions	2017	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	Zeros of combinations of the Riemann $Ξ$-function and the confluent hypergeometric function on bounded vertical shifts	2017	Atul Dixit Rahul Kumar Bibekananda Maji Alexandru Zaharescu
+ PDF Chat	Error functions, Mordell integrals and an integral analogue of a partial theta function	2016	Atul Dixit Arindam Roy Alexandru Zaharescu
+	On a theorem of A. I. Popov on sums of squares	2016	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	On a theorem of A. I. Popov on sums of squares	2016	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan	2016	Bruce C. Berndt Atul Dixit Arindam Roy Alexandru Zaharescu
+	New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan	2016	Bruce C. Berndt Atul Dixit Arindam Roy Alexandru Zaharescu
+	New representations for $\sigma(q)$ via reciprocity theorems	2016	Koustav Banerjee Atul Dixit
+ PDF Chat	Asymptotics and exact formulas for Zagier polynomials	2016	Atul Dixit M. L. Glasser Victor H. Moll Christophe Vignat
+	Error functions, Mordell integrals and an integral analogue of partial theta function	2016	Atul Dixit Arindam Roy Alexandru Zaharescu
+	Overpartitions related to the mock theta function $\omega(q)$	2016	George E. Andrews Atul Dixit Daniel Schultz Ae Ja Yee
+	The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions	2016	Tewodros Amdeberhan Atul Dixit Xiao Wei Guan Li Jiu Alexey Kuznetsov Victor H. Moll Christophe Vignat
+	Ramanujan at elementary levels: glimpses	2016	Bruce C. Berndt Atul Dixit Victoria Jane Reuter Ping Xu Boonrod Yuttanan
+	Overpartitions related to the mock theta function $ω(q)$	2016	George E. Andrews Atul Dixit Daniel Schultz Ae Ja Yee
+	New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan	2016	Bruce C. Berndt Atul Dixit Arindam Roy Alexandru Zaharescu
+	Error functions, Mordell integrals and an integral analogue of partial theta function	2016	Atul Dixit Arindam Roy Alexandru Zaharescu
+	On a theorem of A. I. Popov on sums of squares	2016	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	New representations for $σ(q)$ via reciprocity theorems	2016	Koustav Banerjee Atul Dixit
+ PDF Chat	A Hypergeometric Inequality	2015	Atul Dixit Victor H. Moll Veronika Pillwein
+	Koshliakov kernel and identities involving the Riemann zeta function	2015	Atul Dixit Nicolas Robles Arindam Roy Alexandru Zaharescu
+	Riesz-type criteria and theta transformation analogues	2015	Atul Dixit Arindam Roy Alexandru Zaharescu
+ PDF Chat	Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q)and ϕ(q)	2015	George E. Andrews Atul Dixit Ae Ja Yee
+	The Zagier polynomials. Part III: Asymptotics and Exact formulas	2015	Atul Dixit M. L. Glasser Victor H. Moll Christophe Vignat
+	Asymptotics and exact formulas for Zagier polynomials	2015	Atul Dixit M. L. Glasser Victor H. Moll Christophe Vignat
+ PDF Chat	Modified Nörlund polynomials	2015	Atul Dixit Adam Kabza Victor H. Moll Christophe Vignat
+	Koshliakov kernel and identities involving the Riemann zeta function	2015	Atul Dixit Nicolas Robles Arindam Roy Alexandru Zaharescu
+	Partitions associated with the Ramanujan/Watson mock theta functions $\omega(q), \nu(q)$ and $\phi(q)$	2015	George E. Andrews Atul Dixit Ae Ja Yee
+	Ramanujan–Hardy–Littlewood–Riesz phenomena for Hecke forms	2015	Atul Dixit Arindam Roy Alexandru Zaharescu
+	Koshliakov kernel and identities involving the Riemann zeta function	2015	Atul Dixit Nicolas Robles Arindam Roy Alexandru Zaharescu
+	Asymptotics and exact formulas for Zagier polynomials	2015	Atul Dixit M. L. Glasser Victor H. Moll Christophe Vignat
+	Partitions associated with the Ramanujan/Watson mock theta functions $ω(q), ν(q)$ and $ϕ(q)$	2015	George E. Andrews Atul Dixit Ae Ja Yee
+	Zeros of combinations of the Riemann ξ-function on bounded vertical shifts	2014	Atul Dixit Nicolas Robles Arindam Roy Alexandru Zaharescu
+ PDF Chat	THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS	2014	Atul Dixit Lin Jiu Victor H. Moll Christophe Vignat
+	Modified N\"orlund polynomials	2014	Atul Dixit Adam Kabza Victor H. Moll Christophe Vignat
+	Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations	2014	Atul Dixit Victor H. Moll
+ PDF Chat	The Zagier polynomials. Part II: Arithmetic properties of coefficients	2014	Mark W. Coffey Valerio De Angelis Atul Dixit Victor H. Moll Armin Straub Christophe Vignat
+	The unimodality of a polynomial coming from a rational integral. Back to the original proof	2014	Tewodros Amdeberhan Atul Dixit Xiao Wei Guan Lin Jiu Victor H. Moll
+	The finite Fourier transform of classical polynomials	2014	Atul Dixit Lin Jiu Victor H. Moll Christophe Vignat
+	The finite Fourier transform of classical polynomials	2014	Atul Dixit Lin Jiu Victor H. Moll Christophe Vignat
+	Modified Nörlund polynomials	2014	Atul Dixit Adam Kabza Victor H. Moll Christophe Vignat
+	Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations	2013	Atul Dixit Victor H. Moll
+ PDF Chat	From sequences to polynomials and back, via operator orderings	2013	Valerio De Angelis Victor H. Moll Tewodros Amdeberhan Atul Dixit Christophe Vignat
+	Monotonicity results for Dirichlet L -functions	2013	Atul Dixit Arindam Roy Alexandru Zaharescu
+ PDF Chat	The Zagier modification of Bernoulli numbers and a polynomial extension. Part I	2013	Atul Dixit Victor H. Moll Christophe Vignat
+	The unimodality of a polynomial coming from a rational integral. Back to the original proof	2013	Tewodros Amdeberhan Atul Dixit Xiao Wei Guan Lin Jiu Victor H. Moll
+	Monotonicity Results for Dirichlet L-functions	2013	Atul Dixit Arindam Roy Alexandru Zaharescu
+ PDF Chat	Analogues of the general theta transformation formula	2013	Atul Dixit
+	Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations	2013	Atul Dixit Victor H. Moll
+	The unimodality of a polynomial coming from a rational integral. Back to the original proof	2013	Tewodros Amdeberhan Atul Dixit Guan Xiao Lin Jiu Victor H. Moll
+	Monotonicity Results for Dirichlet L-functions	2013	Atul Dixit Arindam Roy Alexandru Zaharescu
+ PDF Chat	Generalized higher order spt-functions	2012	Atul Dixit Ae Ja Yee
+	Transformation formulas associated with integrals involving the Riemann Zeta-function and rank-crank type PDEs in partition theory	2012	Atul Dixit
+	The Zagier modification of Bernoulli numbers and a polynomial extension. Part I	2012	Atul Dixit Victor H. Moll Christophe Vignat
+ PDF Chat	Rank–Crank-type PDEs and generalized Lambert series identities	2012	Song Heng Chan Atul Dixit Frank G. Garvan
+ PDF Chat	Character analogues of Ramanujan-type integrals involving the Riemann Ξ-function	2012	Atul Dixit
+	Generalized higher order spt-functions	2012	Atul Dixit Ae Ja Yee
+	Rank-Crank type PDEs and generalized Lambert series identities	2012	Song Heng Chan Atul Dixit Frank G. Garvan
+	The Zagier modification of Bernoulli numbers and a polynomial extension. Part I	2012	Atul Dixit Victor H. Moll Christophe Vignat
+	Generalized higher order spt-functions	2012	Atul Dixit Ae Ja Yee
+	Rank-Crank type PDEs and generalized Lambert series identities	2012	Song Heng Chan Atul Dixit Frank G. Garvan
+	Analogues of the general theta transformation formula	2011	Atul Dixit
+	Convexity of quotients of theta functions	2011	Atul Dixit Arindam Roy Alexandru Zaharescu
+	Convexity of Quotients of Theta Functions	2011	Atul Dixit Arindam Roy Alexandru Zaharescu
+ PDF Chat	ANALOGUES OF A TRANSFORMATION FORMULA OF RAMANUJAN	2011	Atul Dixit
+	Character analogues of Ramanujan type integrals involving the Riemann $\Xi$-function	2011	Atul Dixit
+	Convexity of Quotients of Theta Functions	2011	Atul Dixit Arindam Roy Alexandru Zaharescu
+	Analogues of the general theta transformation formula	2011	Atul Dixit
+	Character analogues of Ramanujan type integrals involving the Riemann $Ξ$-function	2011	Atul Dixit
+ PDF Chat	Character analogues of theorems of Ramanujan, Koshliakov and Guinand	2010	Bruce C. Berndt Atul Dixit Jaebum Sohn
+	Series transformations and integrals involving the Riemann Ξ-function	2010	Atul Dixit
+	Transformation formulas associated with integrals involving the Riemann Ξ-function	2010	Atul Dixit
+	A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook	2010	Bruce C. Berndt Atul Dixit
+ PDF Chat	The Laplace transform of the psi function	2009	Atul Dixit
+	Analogues of a transformation formula of Ramanujan	2009	Atul Dixit
+	A transformation formula involving the Gamma and Riemann zeta functions in Ramanujan's Lost Notebook	2009	Bruce C. Berndt Atul Dixit
+	Monotonicity of quotients of theta functions related to an extremal problem on harmonic measure	2007	Atul Dixit Alexander Yu. Solynin
+	Ramanujan's identities and monotonicity properties of quotients of theta functions	2006	Atul Dixit
+	Orthopoles and the Pappus Theorem	2004	Atul Dixit Darij Grinberg

Common Coauthors

Coauthor	Papers Together
Alexandru Zaharescu	33
Victor H. Moll	26
Bruce C. Berndt	25
Rahul Kumar	20
Rajat Gupta	18
Arindam Roy	15
Bibekananda Maji	12
Christophe Vignat	9
Ae Ja Yee	9
Christophe Vignat	7
Lin Jiu	6
Aashita Kesarwani	6
George E. Andrews	6
Sun Kim	6
Arindam Roy	6
Tewodros Amdeberhan	5
Shivajee Gupta	4
Sumukha Sathyanarayana	4
Nicolas Robles	4
M. L. Glasser	4
Soumyarup Banerjee	4
N. Guru Sharan	4
Koustav Banerjee	3
Frank G. Garvan	3
G. Sood	3
Xiao Wei Guan	3
Song Heng Chan	3
Adam Kabza	3
Pramod Eyyunni	3
Akshaa Vatwani	3
Daniel Schultz	2
Nico Μ. Τemme	2
Shivajee Gupta	2
Valerio De Angelis	2
Khushbu Patel	2
Ankush Goswami	2
Daniel Schultz	1
Mark W. Coffey	1
Alexey Kuznetsov	1
Alexander Yu. Solynin	1
Veronika Pillwein	1
Li Jiu	1
Kumar Gaurav	1
Victoria Jane Reuter	1
Darij Grinberg	1
Boonrod Yuttanan	1
Armin Straub	1
Guan Xiao	1
Shashank Charge	1
Jaebum Sohn	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The lost notebook and other unpublished papers	1989	Srinivasa Ramanujan Aiyangar George E. Andrews	54
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	40
+	Special Functions: An Introduction to the Classical Functions of Mathematical Physics	1997	Nico Μ. Τemme Daniel Zwillinger	25
+	Ramanujan’s Notebooks: Part V	1997	Bruce C. Berndt	21
+	Asymptotics and Mellin-Barnes integrals	2002	R. B. Paris D. Kaminski	21
+	Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations	2014	Atul Dixit Victor H. Moll	19
+	Ramanujan's Lost Notebook: Part II	2009	George E. Andrews Bruce C. Berndt	19
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	18
+	SOME RAPIDLY CONVERGENT SERIES FOR THE RIEMANN ξ-FUNCTION	1955	A. P. Guinand	18
+ PDF Chat	Introduction to Analytic Number Theory	1976	Tom M. Apostol	17
+ PDF Chat	ANALOGUES OF A TRANSFORMATION FORMULA OF RAMANUJAN	2011	Atul Dixit	17
+	Multiplicative Number Theory	1980	H. Davenport	17
+ PDF Chat	Analogues of the general theta transformation formula	2013	Atul Dixit	15
+	New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan	2016	Bruce C. Berndt Atul Dixit Arindam Roy Alexandru Zaharescu	14
+	Table of Integrals, Series, and Products	1980		14
+	A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook	2010	Bruce C. Berndt Atul Dixit	13
+	Special Functions	1996	Nico Μ. Τemme	12
+	Special functions: An introduction to the classical functions of mathematical physics	1996		11
+	SOME SUMMATIONS OVER THE LATTICE POINTS OF A CIRCLE (I)	1934	A. L. Dixon W. L. Ferrar	11
+	Hecke's Functional Equation and Arithmetical Identities	1961	K. Chandrasekharan Raghavan Narasimhan	11
+	Transformation formulas associated with integrals involving the Riemann Ξ-function	2010	Atul Dixit	11
+	Series transformations and integrals involving the Riemann Ξ-function	2010	Atul Dixit	11
+	SUMMATION FORMULAE AND SELF-RECIPROCAL FUNCTIONS (II)	1939	A. P. Guinand	10
+	Ramanujan’s Formula for ζ(2n + 1)	2017	Bruce C. Berndt Armin Straub	10
+	SOME SELF-RECIPROCAL FUNCTIONS	1931	G. N. Watson	10
+	Koshliakov kernel and identities involving the Riemann zeta function	2015	Atul Dixit Nicolas Robles Arindam Roy Alexandru Zaharescu	10
+ PDF Chat	Modular transformations and generalizations of several formulae of Ramanujan	1977	Bruce C. Berndt	9
+	The number of smallest parts in the partitions of n	2008	George E. Andrews	9
+ PDF Chat	Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes	1916	G. H. Hardy J. E. Littlewood	9
+	Basic Hypergeometric Series and Applications.	1990	Ranjan Roy N. J. Fine	9
+	Ramanujan's Notebooks	1985	Bruce C. Berndt	9
+	<i>Theory of Functions of a Complex Variable</i>	1966	A. I. Markushevich Richard A. Silverman J. Gillis	9
+	On the Hurwitz zeta-function	1972	Bruce C. Berndt	9
+ PDF Chat	Period Functions for Maass Wave Forms. I	2001	James B. Lewis Don Zagier	9
+	A Treatise on the Theory of Bessel Functions	1944	H. T. Davis G. N. Watson	8
+ PDF Chat	Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook	2008	Bruce C. Berndt Yoonbok Lee Jaebum Sohn	8
+	On an Extension of Some Formulae of Ramanujan	1936	N. Koshliakov	8
+	INFINITE INTEGRALS OF BESSEL FUNCTIONS	1935	A. L. Dixon W. L. Ferrar	8
+	Asymptotics and Mellin-Barnes Integrals	2001	R. B. Paris D. Kaminski	8
+	Ramanujan's Lost Notebook	2012	George E. Andrews Bruce C. Berndt	8
+	MULTIPLICATIVE NUMBER THEORY	1970	Enrico Bombieri	8
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	J. W. W. Milton Abramowitz Irene A. Stegun	8
+	Functions of One Complex Variable	1973	John B. Conway	8
+	Basic Hypergeometric Series	2004	George Gasper Mizan Rahman	8
+	Ramanujan's “Lost” Notebook V: Euler's partition identity	1986	George E. Andrews	8
+ PDF Chat	Some formulas of Ramanujan involving Bessel functions	2010	Henri Cohen	7
+ PDF Chat	On the q-analog of Kummer’s theorem and applications	1973	George E. Andrews	7
+	Modular Functions and Dirichlet Series in Number Theory	1990	Tom M. Apostol	7
+	Ramanujan's notebooks, part II	1990	C. Brezinski	7
+ PDF Chat	Identities involving the coefficients of a class of Dirichlet series. IV	1970	Bruce C. Berndt	7