Publications
N. Prabhu, Difference graphs of etale algebras over finite fields, submitted.
J. Das and N. Prabhu, A central limit theorem for Hilbert Modular Forms, Journal of the Ramanujan Mathematical Society, to appear.
A. Malik and N. Prabhu, Equidistribution of ap^theta with a Chebotarev condition and applications to extremal primes, Mathematika 68 (2022), no. 3, 595–619.
3. S. Baier, N. Prabhu and K. Sinha, Central limit theorems for modular forms and elliptic curves with smooth weight functions, J. Math. Anal. Appl. 485 (2020), no. 1, 123709, 29 pp.
4. M. R. Murty and N. Prabhu, Central limit theorems for sums of quadratic characters, Hecke eigenforms and elliptic curves, Proc. Amer. Math. Soc. 148 (2020) no. 3, 965-977.
5. C. David, A. Gafni, A. Malik, N. Prabhu and C. Turnage-Butterbaugh, Extremal primes for elliptic curves without complex multiplication, Proc. Amer. Math. Soc. 148 (2020) no. 3, 929-943.
6. M. R. Murty and N. Prabhu. The error term in the Sato-Tate theorem of Birch, Bull. Aust. Math. Soc. 100 (2019), no. 1, 27-33.
(Note: The published version has a mistake, but the result is true, the corrected version appears on the arxiv and is linked above)
7. S. Baier and N. Prabhu, Moments of the error term in the Sato-Tate law for elliptic curves, J. Number Theory 194 (2019), 44-82.
8. N. Prabhu and K. Sinha Fluctuations in the distribution of Hecke eigenvalues about the Sato-Tate measure, Int. Math. Res. Not. IMRN 2019, no. 12, 3678-3811.
9. N. Prabhu, Density of solutions to quadratic congruences, Czechoslovak Mathematical Journal, vol. 67, no. 2 (2017), pp. 439-455.
Ph. D. Thesis
My PhD thesis can be found here.