Research

L-functions and their subconvex bounds, Countimg rational points, exponential sums

Publications and Priprints

The second moment of derivatives of GL(2) L-functions over quadratic twists, arXiv:2303.16864, with K. Mallesham, P. Sharma and S. K. Singh.

Subconvexity bound for GL(3) x GL(2) L-functions in (GL(2)- spectral aspect), arXiv: 2007.05043 (to appear in the Journal of the European Mathematical Society (JEMS)).

Non-linear additive twist of GL(3) x GL(2) and GL(3) Maass forms (with K. Mallesham and S. K. Singh), Monatsh Math (2022), https://doi.org/10.1007/s00605-022-01725-x (arXiv: 1905.13109).

Subconvexity bounds for GL(3) x GL(2) L-functions (GL(3)- spectral aspect) (with K. Mallesham and S. K. Singh), arXiv:2006.07819.

Subconvexity for GL(3) x GL(2) L-functions in the depth aspect (with K. Mallesham and S. K. Singh), Math. Z. (2022). https://doi.org/10.1007/s00209-022-02993-x (arXiv:2012.12674).

Subconvexity for GL(3) x GL(2) L-functions: Hybrid level aspect (with R. Munshi and S. K. Singh), arXiv:2103.03552 (to appear in Algebra and Number theory).

Bounds for del Pezzo surfaces of degree two (with A. Ghosh, K. Mallesham and S. K. Singh), The Quarterly Journal of Mathematics, 10.1093/qmath/haac023 ( arXiv:2010.11139).

Subconvexity for GL(2) L-functions in t-aspect (with R. Acharya; G. Maiti and S. K. Singh), Acta Arithmetica, 194 (2020), no. 2, 111–133.