2 citations · 2 across the 5 of their papers we have counts for
6 papers · 1 filter
Diophantine approximation with integers having no large prime factors
Kunjakanan Nath, Habibur Rahaman
Given any irrational number , we show that for any , there are infinitely many -smooth (friable) numbers such that where $(\log n)^C\leq y\…
On binary correlations of Fourier coefficients of holomorphic cusp forms at prime arguments
Jiseong Kim, Kunjakanan Nath
Let be the normalized Hecke eigenvalues of a given holomorphic cusp form of even weight . We show under the assumption of the existence of Littlewood…
Real zeros of
Youness Lamzouri, Kunjakanan Nath
In 1990, Baker and Montgomery conjectured that has real zeros in the interval for almost all fundamental discriminants . The study of…
Almost primes and primes that are sums of two squares plus 1
Kunjakanan Nath, Likun Xie
In this paper, we obtain a lower bound for the number of primes such that is a sum of two squares and has a bounded number of prime factors. The proof uses th…
The distribution of the maximum of cubic character sums
Youness Lamzouri, Kunjakanan Nath
For a primitive Dirichlet character we let \[M(χ):= \frac{1}{\sqrt{q}}\max_{1\leq t \leq q} \Big|\sum_{n \leq t} χ(n) \Big|.\] In this paper, we investigate the distribu…
Primes with a missing digit: distribution in arithmetic progressions and an application in sieve theory
Kunjakanan Nath
We prove Bombieri-Vinogradov type theorems for primes with a missing digit in their -adic expansion for some large positive integer . The proof is based on the circle method,…