Publications
Mean of the product of derivatives of Hardy's Z-function with Dirichlet polynomial, (with M.K. Das), (to appear in J. Number Theory).
An all-purpose Erdos-Kac theorem, (with M. R. Murty and V. K. Murty), (to appear in Mathematische Zeitschrift).
A Bombieri-Vinogradov-type theorem for moduli with small radical, (with S. Baier), (to appear in Acta Arithmetica), Arxiv link: arXiv:2212.0557.
Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection (with B. Kane), (to appear in Trans. Amer. Math. Soc.), Arxiv link: arXiv:2010.15325.
Formulas for moments of class numbers in arithmetic progressions, (with K. Bringmann and B. Kane), Acta Arithmetica 207 (2023), 19-38.
Sato-Tate distribution of p-adic hypergeometric functions, (with N. Saikia), Res. number theory 9, 4 (2023).
On signatures of elliptic curves and modular forms, (with A. Dąbrowski and J. Pomykała), The Ramanujan Journal (2023) 60:505-516.
Turán inequalities for the plane partition function, (with K. Ono and L. Rolen), Advances in Mathematics, Volume 409, Part B, 2022, 108692.
A Bombieri-Vinogradov-type theorem with prime power moduli, (with S. Baier), Acta Arithmetica 204 (2022), 115-140.
On the normal number of prime factors of sums of Fourier coefficients of eigenforms, with M. R. Murty and V. K. Murty, J. Number Theory, 233 (2022), 59-77.
Distribution of signs of Karatsuba's and generalized Davenport-Heilbronn $Z$-functions, with M. K. Das, J. Number Theory, 212 (2020), 409-447.
Traces of Hecke operators in level 1 and p-adic hypergeometric functions, with N. Saikia, Ramanujan J 52, 519–539 (2020).
Some remarks on the coefficients of symmetric power L-functions, with B. Kumar and J. Meher, Automorphic Forms and Related Topics, Contemporary Mathematics, Vol. 732, American Mathematical Society, (2019), 155-164.
Distinguishing pure representations by normalized traces, with M.K Pandey and J.P Saha, J. Number Theory, 195 (2019), 217-225.
Zeros of L-functions attached to cusp forms of half-integral weight, with J. Meher and K.D Shankhadhar, Proc. Amer. Math. Soc., 147 (2019), 131-143.
Zeros of $L$-functions attached to modular forms of half-integral weights, with J. Meher and K. Srinivas, Bull. Lond. Math. Soc., 49 (2017), 926-936.
Distinguishing Hecke eigenforms, with M. R. Murty, Proc. Amer. Math. Soc., 145 (2017), 1899-1904.
Sign changes of coefficients of certain Dirichlet series, with J. Meher and K. D. Shankhadhar, Funct. Approx. Comment. Math., 52 (2015), Part 1, 117–126.
Preprints:
Odd moments for the trace of Frobenius and the Sato--Tate conjecture in arithmetic progressions, (with K. Bringmann and B. Kane), (submitted), Arxiv link: arXiv:2112.08205.Help | Advanced All Report number
Zeros of higher derivatives of Riemann zeta function, (with M. K. Das), (preprint) (Arxiv link: arXiv:2104.10243v2).
Effective joint equidistribution of eigenvalues of Hecke operators, (Arxiv link: arXiv:1703.07944).
Distribution of gaps of eigenangles of Hecke operators, (submitted), (Arxiv link: http://arxiv.org/pdf/1603.06249.pdf).