Preprints and Published papers

1. Spectral antisymmetry of twisted graph adjacency (with Y. Luo), submitted
 
2. Asymptotic of plane overpartition with explicit error terms (with D. Banerjee), submitted
 
3. Global Behavior of the Value Distributions of Riemann Zeta-Function Approximations (with J. Crim and W. Frendreiss), Submitted
 
4. Log-concavity and The Multiplicative Properties of Restricted Partition Functions (with B. Benfield), submitted
 
5. End behaviors of Ramanujan's Taxicab numbers (with B. Benfield and O. Lippard), accepted in Ramanujan J.
 
6. Functional Equation And Arithmetical Identities for a class of $L$-Functions (with J. Sahu and A. Vatwani), accepted in Proc. A Royal Soc. Edinburgh
 
7. Product of polynomial values being large power (with E. Mazumdar), accepted in Proc. Edinburg Math. Soc
 
8. Tur\'an inequalities for $k$-th power partition functions (with B. Benfield and M. Paul), J. Math. Anal. Appl. 529 (2024), no. 1, Paper No. 127678, 9 pp.
 
9. $a$-Points of Partial Sums of the Riemann Zeta Function (with S. Wainaina) Journal of Mathematical Sciences 270 (6), 803-814
 
10. Zeros of Dirichlet Polynomials (with A. Vatwani), Trans. Amer. Math. Soc. 374 (2021), no. 1, 643–661. (PDF )
 
11. Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory (with A. Dixit), Res. Math. Sci. 7 (2020), no. 3, Paper No. 25, 33 pp. (PDF )
 
12. Unexpected average value of generalized von Mangoldt functions in residue classes (with N. M. Robles), J. Aust. Math. Soc. 111 (2021), no. 1, 127–144.
 
13. On the distribution of zeros of derivatives of the Riemann $\xi$-function (with A. Malik), Forum Math. 32 (2020), no. 1, 1-22. (PDF )
 
14. Zeros of partial sums of $L$-functions (with A. Vatwani), Adv. Math. 346 (2019), 467-509. (PDF )
 
15. Moments of averages of generalized Ramanujan sums (with N. M. Robles), Monatsh. Math. 182 (2017), no. 2, 433-461. (PDF )
 
16. 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 )
 
17. 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 )
 
18. 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 )
 
19. 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 )
 
20. 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 )
 
21. 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 )
 
22. Riesz-type criteria and theta transformation analogues (with A. Dixit and A. Zaharescu), Journal of Number Theory 160 (2016), 385-408. (PDF )
 
23. 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 )
 
24. 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 )
 
25. 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 )
 
26. 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 )
 
27. 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 )
 
28. Monotonicity Results for Dirichlet L-Functions (with A. Dixit and A. Zaharescu), J. Math. Anal. Appl., 410 No 1, (2014), 307-315. (PDF )
 
29. 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 )
 
30. Convexity of quotients of theta functions (with A. Dixit and A. Zaharescu), J. Math. Anal. Appl., 386 No 1, (2012), 319-331. (PDF )