Shashi Chourasiya

collaborators

3 papers

math.NT2025

Power-free palindromes and reversed primes

Shashi Chourasiya, Daniel R. Johnston

We prove new results related to the digital reverse $n$ of a positive integer $n$ in a fixed base $b$ . First we show that for $b \geq 26000$ , there exists infinitely…

math.NT2025

An explicit form of Ingham's zero density estimate

Shashi Chourasiya, Aleksander SimoniÄ

Ingham (1940) proved that $N (I ¨ , T) ≪ T^{3 (1 - I ¨ ) / (2 - I ¨ )} lo g^{5} T$ , where $N (I ¨ , T)$ counts the number of the non-trivial zeros $I ¨ $ of the Riemann zeta-function with $\Re\{Ï\}\g…

math.NT2024

An explicit version of Carlson's theorem

Shashi Chourasiya

Let $N (I ¨ , T)$ denote the number of nontrivial zeros of the Riemann zeta function with real part greater than $I ¨ $ and imaginary part lying between $0$ and $T$ . In this article, we…