Work

Some new results on integral divergence

Year: 2025

Type: article

Abstract: This paper studies the divergence of certain simple and double integrals. In particular, a divergence result is established for simple integrals of submultiplicative functions. Several divergence integral results for double integrals involving functions of the sum and product of variables are also proved. One of these allows for the reconsideration of some existing theorems. Overall, the results provide novel techniques for evaluating divergent integrals that may be useful beyond the framework considered.

Source: Annals of Mathematics and Computer Science

DOI: 10.56947/amcs.v27.458

Author: Christophe Chesneau

Institution: Université de Caen Normandie

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408748993

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