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

○ Partitions with Durfee triangles of fixed size (with A. Straub), submitted for publication, 2025. (21 pages)

○ Equivalence criteria for the two-term functional equations for Herglotz-Zagier functions (with S. Sathyanarayana), submitted for publication, 2025. (17 pages)

○ Rook decomposition of the Partition function, submitted for publication, 2025. (21 pages)

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

○ 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).