3 citations · 3 across the 2 of their papers we have counts for
6 papers · 1 filter
A central limit theorem for Hilbert modular forms
Jishu Das, Neha Prabhu
For a prime ideal in a totally real number field with the adele ring , we study the distribution of angles coming from Satake par…
Equidistribution of with a Chebotarev condition and applications to extremal primes
Amita Malik, Neha Prabhu
We establish a joint distribution result concerning the fractional part of for , where is a prime satisfying a Chebotarev condition in a fixed finite…
The error term in the Sato-Tate theorem of Birch
M. Ram Murty, Neha Prabhu
We establish an error term in the Sato-Tate theorem of Birch. That is, for prime, we show that $\#\{ (a,b) \in \mathbb{F}_q^2 : θ_{a,b}\in I\} =μ_{ST}(I)q^2 + O_r(q^{7/…
Central limit theorems for elliptic curves and modular forms with smooth weight functions
Stephan Baier, Neha Prabhu, Kaneenika Sinha
The second and third-named authors (arXiv:1705.04115) established a Central Limit Theorem for the error term in the Sato-Tate law for families of modular forms. This method was ada…
Extremal primes of elliptic curves without complex multiplication
C. David, A. Gafni, A. Malik +2
Fix an elliptic curve E over Q. An extremal prime for E is a prime p of good reduction such that the number of rational points on E modulo p is maximal or minimal in relation to th…
Density of solutions to quadratic congruences
Neha Prabhu
A classical result in number theory is Dirichlet's theorem on the density of primes in an arithmetic progression. We prove a similar result for numbers with exactly k prime factors…