Robba's method on exponential sums

TL;DR

This paper applies Robba's method to estimate and visualize the Newton polygon of L functions on tori, providing explicit cases where the polygon can be accurately drawn.

Contribution

It introduces a novel application of Robba's method to analyze Newton polygons of L functions on tori, with explicit case studies.

Findings

Estimated Newton polygons for specific L functions.

Explicit drawings of Newton polygons in special cases.

Enhanced understanding of L function properties on tori.

Abstract

In this article, we use Robba's method to give an estimate of the Newton polygon for the L function on torus and we can draw the Newton polygon in some special cases.