Saito duality and the classical theory of arithmetic functions

TL;DR

This paper explores the mathematical concepts of Saito duality and Fourier-Ramanujan transforms, focusing on their application to power sums and monodromy root multiplicities in arithmetic functions.

Contribution

It provides new insights into the relationship between Saito duality and Fourier-Ramanujan transforms within the context of arithmetic functions.

Findings

Established connections between Saito duality and Fourier-Ramanujan transforms.

Analyzed power sums and monodromy root multiplicities.

Contributed to the theoretical understanding of arithmetic functions.

Abstract

We study Saito duality and Fourier-Ramanujan transform for power sums and multiplicities of monodromy roots.