Published papers and Preprints

  1. Zeros of partial sums of $L$-functions (with Akshaa Vatwani), preprint.
  2.  
  3. Unnormalized differences of the zeros of the derivative of the completed $L$-function, preprint.
  4.  
  5. On the distribution of zeros of derivatives of the Riemann $\xi$-function (with A. Malik), submitted. (PDF )
  6.  
  7. On a generalization of the Selberg formula, Siegel zero and the Weil explicit formula (with N. M. Robles), to appear in Acta Arith. (PDF )
  8.  
  9. Moments of averages of generalized Ramanujan sums (with N. M. Robles), Monatsh. Math. 182 (2017), no. 2, 433-461. (PDF )
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  11. 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 )
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  13. 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 )
  14.  
  15. 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 )
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  17. 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 )
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  19. 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 )
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  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 )
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  23. Riesz-type criteria and theta transformation analogues (with A. Dixit and A. Zaharescu), Journal of Number Theory 160 (2016), 385-408. (PDF )
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  25. 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 )
  26.  
  27. 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 )
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  29. 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 )
  30.  
  31. 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 )
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  33. 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 )
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  35. Monotonicity Results for Dirichlet L-Functions (with A. Dixit and A. Zaharescu), J. Math. Anal. Appl., 410 No 1, (2014), 307-315. (PDF )
  36.  
  37. 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 )
  38.  
  39. Convexity of quotients of theta functions (with A. Dixit and A. Zaharescu), J. Math. Anal. Appl., 386 No 1, (2012), 319-331. (PDF )