Research interests

○ Special functions.

○ Analytic number theory.

○ Theory of Partitions.

○ Modular forms.

PhD thesis: Modular relations, Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions.

Publications

○ Equivalence criteria for the two-term functional equations for Herglotz-Zagier functions (with S. Sathyanarayana), submitted for publication, 2025. [18 pages]

○ Rook decomposition of the Partition function, to appear or J. Integer Seq. (2026). [~21 pages]

○ Mordell-Tornheim zeta function: Kronecker limit type formulas and special values (with S. Sathyanarayana), to appear on Adv. in Appl. Math. (2026). [~30 pages]

○ Partitions with Durfee triangles of fixed size (with A. Straub), J. Combin. Theory Ser. A 220 (2026), 106158. [21 pages]

○ On a function of Ramanujan twisted by a logarithm (with A. Dixit and S. Sathyanarayana), Ramanujan J. 67, 55 (2025). [18 pages]

○ Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions (with A. Dixit and S. Sathyanarayana), Adv. Math. 473 (2025), 110303. [66 pages]

○ Modular relations involving generalized digamma functions (with A. Dixit and S. Sathyanarayana), J. Math. Anal. Appl. 539 (2024), 128479. [37 pages]