Meghali Garg

activity

20222024

collaborators

3 papers

math.NT2024

Equivalent criteria for the Riemann hypothesis for a general class of $L$ -functions

Meghali Garg, Bibekananda Maji

In 1916, Riesz gave an equivalent criterion for the Riemann hypothesis (RH). Inspired from Riesz's criterion, Hardy and Littlewood showed that RH is equivalent to the following bou…

math.NT2023

Infinite families of solutions for $A^{3} + B^{3} = C^{3} + D^{3}$ and $A^{4} + B^{4} + C^{4} + D^{4} + E^{4} = F^{4}$

Archit Agarwal, Meghali Garg

Ramanujan, in his lost notebook, gave an interesting identity, which generates infinite families of solutions to Euler's Diophantine equation $A^{3} + B^{3} = C^{3} + D^{3}$ . In this paper…

math.NT2022

Hardy-Littlewood-Riesz type equivalent criteria for the Generalized Riemann hypothesis

Meghali Garg, Bibekananda Maji

In the present paper, we prove that the generalized Riemann hypothesis for the Dirichlet $L$ -function $L (s, χ)$ is equivalent to the following bound: Let $k \geq 1$ and $ℓ$ be po…

Equivalent criteria for the Riemann hypothesis for a general class of L-functions

Infinite families of solutions for A3+B3=C3+D3 and A4+B4+C4+D4+E4=F4

Hardy-Littlewood-Riesz type equivalent criteria for the Generalized Riemann hypothesis

Equivalent criteria for the Riemann hypothesis for a general class of $L$ -functions

Infinite families of solutions for $A^{3} + B^{3} = C^{3} + D^{3}$ and $A^{4} + B^{4} + C^{4} + D^{4} + E^{4} = F^{4}$