On a Variation of the Definition of Limit: Some Analytic Consequences

TL;DR

This paper introduces a new scale-invariant nonlinear analysis framework and derives some analytic number theoretic results without relying on traditional methods.

Contribution

It presents a novel scale-invariant formalism and establishes new analytic number theoretic results independent of standard approaches.

Findings

Introduction of a scale-invariant nonlinear analysis framework

Derivation of analytic number theoretic results using the new formalism

Results are obtained without standard traditional methods

Abstract

The basic formalism of a novel scale invarinat nonlinear analysis is presented. A few analytic number theoretic results are derived independent of standard approaches.