Kamalakshya Mahatab

activity

20162026

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019

Large Oscillations of the Argument of the Riemann Zeta-function

Andrés Chirre, Kamalakshya Mahatab

Let $S (t)$ denote the argument of the Riemann zeta-function, defined as $S (t) = \frac{1}{π} ℑ lo g ζ (1/2 + i t) .$ Assuming the Riemann hypothesis, we prove that $$ S(t)=Ω_{\pm}\bigg…

math.NT2019

Large values of $L$ -functions on $1$ -line

Anup B. Dixit, Kamalakshya Mahatab

In this paper, we study lower bounds of a general family of $L$ -functions on the $1$ -line. More precisely, we show that for any $F (s)$ in this family, there exists arbitrary large…

Large Oscillations of the Argument of the Riemann Zeta-function

Large values of L-functions on 1-line

Large values of $L$ -functions on $1$ -line