Publications

1. Voronoi summation formula for the generalized divisor function $\sigma_z^{(k)}(n)$ (with  Atul Dixit and Bibekananda Maji)

submitted. 

2. On the refined Koblitz conjecture (with Sampa Dey, Arnab Saha and Jyothsnaa Sivaraman) 

submitted. 

3. A simple proof of the Wiener–Ikehara Tauberian Theorem (with M. Ram Murty and Jagannath Sahoo)

Expositiones Mathematicae, 42 (2024), no. 3, 125570. 

4. Riesz type criteria for L-functions in the Selberg class (with Shivajee Gupta) 

Canadian Journal of Mathematics, to appear.  

5. Limitations to equidistribution in arithmetic progressions (with Aditi Savalia), 

Research in the Mathematical Sciences, 10 (2023), no. 1, Paper No. 9. 

6. Joint Extreme values of L-functions (with Kamalakshya Mahatab and Łukasz Pańkowski), 

Mathematische Zeitschrift, 302 (2022), no. 2, 1177-1190. 

7. A modular relation involving non-trivial zeros of the Dedekind zeta function, and the Generalized Riemann Hypothesis (with Atul Dixit and Shivajee Gupta), 

Journal of Mathematical Analysis and Applications, 515 (2022), no. 2, Paper No. 126435. 

8. Zeros of Dirichlet polynomials (with Arindam Roy), 

Transactions of the American Mathematical Society, 374 (2021), no. 1, 643–661. 

9. On generalizations of the Titchmarsh divisor problem (with Peng-Jie Wong)

Acta Arithmetica, 193 (2020), no. 4, 321-337. 

10. Zeros of partial sums of L-functions (with Arindam Roy)  

Advances in Mathematics, 346 (2019),  467-509.

11. Variants of equidistribution in arithmetic progressions and the twin prime conjecture 

Mathematische Zeitschrift, 293 (2019), no. 1-2, 285–317.

12. A smooth Selberg sieve and applications (with M. Ram Murty), 

in Geometry, Algebra, Number Theory and Their Information Technology Applications, 

Springer Proceedings In Mathematics and Statistics, edited by A. Akbary and S. Gun, vol. 251, Springer, 2018, 291-315.  

13. A remark on a conjecture of Chowla  (with M. Ram Murty) 

Journal of the Ramanujan Mathematical Society, 33 (2018), no. 2, 111–123. 

14. A remark on the Lang-Trotter and Artin conjectures (with M. Ram Murty) 

Proc. Amer. Math. Soc.,  146 (2018), no. 8, 3191-3202. 

15. A higher rank Selberg sieve and applications 

Czech Math J., 68(143) (2018), no. 1, 169-193. 

16. Twin primes and the parity problem (with M. Ram Murty) 

Journal of Number Theory, 180 (2017), 643-659.

17. A higher rank Selberg sieve with an additive twist and applications (with M. Ram Murty)

Funct. Approx. Comment. Math., 57 (2017), no. 2, 151-184.

18. Patterns of primes in Chebotarev sets (with Peng-Jie Wong) 

International Journal of Number Theory, 13 (2017), no. 7, 1651-1677.

19. Bounded gaps between Gaussian primes 

Journal of Number Theory, 171 (2017), 449-473.

20. An elliptic analogue of a theorem of Hecke (with M. Ram Murty) 

Ramanujan Journal, 41 (2016), no. 1-3, 171-182.

21. A simple proof of the Wiener-Ikehara Tauberian theorem 

Math. Student, 84 (2015), no. 3-4, 127-134.

22. The least prime congruent to one modulo n (with R. Thangadurai) 

Amer. Math. Monthly, 118 (2011), no. 8, 737-742.