Kunjakanan Nath

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20212026

most citedPrimes with a missing digit: distribution in arithmetic progressions and an application in sieve theory

2 citations · 2 across the 5 of their papers we have counts for

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math.NT2025

On binary correlations of Fourier coefficients of holomorphic cusp forms at prime arguments

Jiseong Kim, Kunjakanan Nath

Let ${λ_{f} (n)}_{n \geq 1}$ be the normalized Hecke eigenvalues of a given holomorphic cusp form $f$ of even weight $k$ . We show under the assumption of the existence of Littlewood…

math.NT2025

Real zeros of $L^{'} (s, χ_{d})$

Youness Lamzouri, Kunjakanan Nath

In 1990, Baker and Montgomery conjectured that $L^{'} (s, χ_{d})$ has $≍ lo g lo g ∣ d ∣$ real zeros in the interval $[1/2, 1]$ for almost all fundamental discriminants $d$ . The study of…

math.NT2025

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 $p \leq x$ such that $p - 1$ is a sum of two squares and $p + 2$ has a bounded number of prime factors. The proof uses th…

On binary correlations of Fourier coefficients of holomorphic cusp forms at prime arguments

Real zeros of L′(s,χd​)

Almost primes and primes that are sums of two squares plus 1

Real zeros of $L^{'} (s, χ_{d})$