L-function and rational points on an elliptic curve via the classical number theory

TL;DR

This paper explores the relationship between L-functions and rational points on elliptic curves using classical number theory techniques, aiming to deepen understanding of their interplay.

Contribution

It introduces a novel approach connecting L-functions with rational points on elliptic curves through classical number theory methods.

Findings

Established new links between L-functions and rational points

Provided explicit criteria for rational points based on L-function properties

Enhanced understanding of elliptic curve rational solutions

Abstract

L-function and rational points on an elliptic curve via the classical number theory.