Publications/Preprints
Published articles
A note on odd zeta values over any number field and Extended Eisenstein series (with Soumyarup Banerjee and Rahul Kumar), J . Math. Anal. Appl, 531 (2024), 127883, 17 pp.
Extended higher Herglotz functions I. Functional equation, (with A. Dixit, and, R. Kumar), Adv. Appl. Math. 153 (2024), 102622 (41 pages).
Extended higher Herglotz function II (with R. Kumar), J. Math. Anal. Appl. 518, (2023), no. 2, 126720.
Two General Series Identities Involving Modified Bessel Functions and a Class of Arithmetical Functions (with Bruce C. Berndt, Atul Dixit, and A Zaharescu), Can. J. Math (2023), 75(6) : 1800-1830, 31 pp.
Modified Bessel functions in analytic number theory, (with Bruce C. Berndt, Atul Dixit, and A Zaharescu), to appear in the volume commemorating Richard Askey, Springer (2023).
Ramanujan and Koshliakov meet Abel and Plana (with Bruce C. Berndt, Atul Dixit, and A Zaharescu), to appear in proceedings of M.V. Subbarao Centennial volume (2023)
A class of identities associated with Dirichlet series satisfying Hecke's functional equation (with Bruce C. Berndt, Atul Dixit, and A Zaharescu), Proc. Amer. Math. Soc. 150 (2022), 4785-4799.
Generalizations of the Andrews-Yee identities associated with the mock theta functions $\omega(q)$ and $\nu(q)$ (With Bruce C. Berndt and A. Dixit), J. Algebraic Combin. 55 (2022), no. 4, 1031–1062.
Koshliakov zeta functions I: Modular Relations (with A. Dixit), Adv. Math. 393 (2021), Paper No. 108093, 41 pp.
On sum-of-tails identities, J. Combin. Theory Ser. A. 184 (2021) Paper No. 105521.
On some $q$ - series identities related to the generalized divisor function and their implications (with R. Kumar), Discrete Math. 344 (2021), no. 11, Paper No. 112559.
Generalized Lambert series, Raabe's cosine transform and a generalization of Ramanujan's formula for $\zeta(2m+1)$, (with A. Dixit, R. Kumar, and B. Maji), Nagoya Math. J. 239 (2020), 232-293.
On squares of odd zeta values and analogues of Eisenstein series, (with A. Dixit), Advances in Applied Mathematics.110 (2019), 86-119.
Submitted/Provisionally accepted articles
On the kth smallest part of a partition into distinct parts, (with Noah L. Lockard and Joseph Vandehey), submitted for publication, (February 2024).
Partitions in which every term but the smallest one is consecutive, (with Noah L. Lockard), submitted for publication (February (2024)
Non-standard binary representations and the Stern sequences, (with Katie Anders, Madeline L. Dawsey, and Joseph Vandehey), submitted for publication (August 2023).
A segment of an Euler product of a certain Dirichlet series (with Aditi Savalia), submitted for publication (April 2023).
In preparation
TBA (with Madeline L. Dawsey), 2024.
TBA (with Noah L. Lockard), 2024.
TBA (with Bruce C. Berndt, and Atul Dixit), 2025.
TBA, 2024.