1. On Hecke eigenvalues of cusp forms in almost all short intervals - International Journal of Number Theory, Vol. 18, No 04, pp.729-742
2. On the asymptotics of the shifted sums of Hecke eigenvalue squares - Forum Math 35 (2)), 297-328
3. On sum of Hecke eigenvalue squares over primes in very short intervals - Acta Arithmetica 205.4 289-301
4. Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues - International Journal of Number Theory 2024 20:06, 1565-1589
5. Approximations of Hecke-Maass L-functions by short Dirichlet polynomials -Submitted
6. On the Rankin-Selberg problem in families - Journal of Number Theory 252, 298-325
7. Ergodic averages with the Hecke eigenvalue square weights and the Piltz divisor function weights - Journal of Mathematical Analysis and Applications, Volume 531, Issue 2, Part 1, 2024,
Corrigendum: https://www.sciencedirect.com/science/article/pii/S0022247X26004245
8. On asymptotics of shifted sums of Dirichlet convolutions https://arxiv.org/abs/2310.00668 : Some typos, mistakes are fixed: https://drive.google.com/file/d/1hyG0gOgkDL88Z81KwL06ZK6En-6JlQBH/view?usp=drive_link
9. Goldbach's Problem in short intervals for numbers with a missing digit Functiones et Approximatio Commentarii Mathematici (1), 1-18
10. (with K. Nath) On binary correlations of Fourier coefficients of holomorphic cusp forms at prime arguments
https://arxiv.org/abs/2511.10594
11. Short Exponential Sums and Ternary Correlations of Multiplicative Functions -Ramanujan Journal 71, 29 (2026).
12.Conditional Bounds for Averaged Binary Correlations of Multiplicative Functions (submitted, preprint available upon request)
Not for publications:
1. The divisor function over integers with a missing digit
https://arxiv.org/abs/2411.09076
2. Short interval variance and averaged correlations of arithmetic functions:
https://drive.google.com/file/d/11z-VVcK0FlzYKMP0qvF_kABNm6oz_zwa/view?usp=drive_link
March 2024 Shifted sums of multiplicative functons (Virtual) - Southern Regional Number Theory Conference 2024,
Sep 2023 Approximations of Hecke-Maass L-functions and zero density estimates - AMS 2023 Fall Eastern Sectional Meeting
Feb. 2023 Zero density estimates of L-functions, Graduate Student Seminar - SUNY Buffalo
Nov. 2022 On the Rankin-Selberg problem in families, Seminar, Virtual- Academy of Mathematics and Systems Science, CAS, China, invited.
Dec. 2021 Shifted sums of Hecke eigenvalue squares, Analysis Seminar, Virtual- SUNY Buffalo,
2019 Correlations of divisor functions, Number Theory Reading Seminar- SUNY Buffalo