Publications

SUBMITTED works:-

7. On Murty’s conjecture for L-function monotonicity: existence theorems and obstructions in low dimensions, submitted, 2025.

6. Simultaneous nonvanishing of central L-values with large squarefree level (with B Ramakrishnan), submitted, 2025.

Published/ACCEPTED works:-

5. Zero-Free Regions for spectral averages of Hecke Maass L-functions, Acta Math. Hungar., 173(1), 2024, 253-285.

4. Zero-Free Regions for spectral averages of Hecke L-functions (with Satadal Ganguly), Int. J. Number Theory, 19(9), 2023, 2151-2162. 

3. Counting Hecke eigenforms with non-vanishing L-value (with M. Manickam, V Kumar Murty), Bull. Aust. Math. Soc., 106(1), 2022, 28-47. 

2. A weighted average of L-functions of modular forms (with M. Manickam, V Kumar Murty), C. R. Math. Rep. Acad. Sci. Canada, 43(2), 2021, 63-77. 

Book Chapters:-

1. On zeros of certain cusp forms of integral weight for full modular group (with M. Manickam), Geometry, algebra, number theory, and their information technology applications, Springer Proc. Math. Stat., 251, 2018, 267-271.

Source Codes