Published papers and Preprints

1. Unnormalized differences of the zeros of the derivative of the completed $L$-function, preprint.
 
2. Zeros of Dirichlet Polynomials (with A. Vatwani), accepted in Transactions of the American Mathematical Society. (PDF )
 
3. Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory (with A. Dixit), accepted in Research in the Mathematical Sciences. (PDF )
 
4. Unexpected average value of generalized von Mangoldt functions in residue classes (with N. M. Robles), Journal of the Australian Mathematical Society. doi:10.1017/S1446788719000715 (PDF )
 
5. On the distribution of zeros of derivatives of the Riemann $\xi$-function (with A. Malik), Forum Math. 32 (2020), no. 1, 1-22. (PDF )
 
6. Zeros of partial sums of $L$-functions (with A. Vatwani), Adv. Math. 346 (2019), 467-509. (PDF )
 
7. Moments of averages of generalized Ramanujan sums (with N. M. Robles), Monatsh. Math. 182 (2017), no. 2, 433-461. (PDF )
 
8. Smooth $L^2$ Distances and Zeros of Approximations of Dedekind zeta functions (with J. Li, M. Nastasescu, and A. Zaharescu), Manuscripta Math. 154 (2017), no. 1-2, 195-223. (PDF )
 
9. Error functions, Mordell integrals and an integral analogue of partial theta function (with A. Dixit and A. Zaharescu), Acta Arith. 177 (2017), no. 1, 1-37. (PDF )
 
10. New Pathways and Connections in Analysis and Analytic Number Theory Motivated by Two Incorrect Claims of Ramanujan (with B.C. Berndt, A. Dixit, and A. Zaharescu), Adv. Math. 304 (2017), 809-929. (PDF )
 
11. Twisted second moments of the Riemann zeta-function and applications (with N. M. Robles and A. Zaharescu), J. Math. Anal. Appl. 434 (2016), no. 1, 271-314. (PDF )
 
12. Koshliakov kernel and identities involving the Riemann zeta-function (with N. M. Robles, A. Dixit and A. Zaharescu), J. Math. Anal. Appl. 435 (2016) 1107-1128. (PDF )
 
13. Zeros of a family of approximations of Hecke L-functions associated with cusp forms (with J. Li and A. Zaharescu), Ramanujan J. 41 (2016), no. 1-3, 391-419. (PDF )
 
14. Riesz-type criteria and theta transformation analogues (with A. Dixit and A. Zaharescu), Journal of Number Theory 160 (2016), 385-408. (PDF )
 
15. Some identities involving convolutions of Dirichlet characters and the Möbius function (with A. Zaharescu and M. Zaki), Proc. Indian Acad. Sci. Math. Sci. 126 (2016), no. 1, 21-33. Sci. (PDF )
 
16. Ramanujan-Hardy-Littlewood-Riesz Type phenomena for Hecke forms (with A. Dixit and A. Zaharescu), J. Math. Anal. Appl., 426 No 1, (2015), 594-611. (PDF )
 
17. Zeros of combinations of the Riemann $\xi$-functions on bounded vertical shifts (with A. Dixit, N. Robles and A. Zaharescu), Journal of Number Theory, 149 (2015), 404 - 434. (PDF )
 
18. On a class of functions that satisfies Ramanujan\'s explicit formula (with P. Kühn and N. Robles), Ramanujan J. 38 (2015), no. 2, 383-422. (PDF )
 
19. Zeros of partial sums of the Dedekind zeta function of a cyclotomic field ( with A. Ledoan and A. Zaharescu), Journal of Number Theory, 136 (2014), 118-133. (PDF )
 
20. Monotonicity Results for Dirichlet L-Functions (with A. Dixit and A. Zaharescu), J. Math. Anal. Appl., 410 No 1, (2014), 307-315. (PDF )
 
21. Sums of magnetic eigenvalues are maximal on rotationally symmetric domains (with R. S. Laugesen and J. Liang), Annales Henri Poincarè., 13 (2012), 731-750. (PDF )
 
22. Convexity of quotients of theta functions (with A. Dixit and A. Zaharescu), J. Math. Anal. Appl., 386 No 1, (2012), 319-331. (PDF )