Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2023-01-24 DOI:10.1080/10652469.2023.2169284

B. J. González, E. Negrín

引用次数: 0

Abstract

In this paper, by means of the classical inversion formula of the Mellin transform and also by means of a L 2 inversion formula, we obtain corresponding inversion formulae for a Lambert-type integral transform. As a consequence of these results, we consider some class of functions regarding Salem's equivalence to the Riemann hypothesis.

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Lambert型变换的反演公式及与Riemann假设的Salem等价性

本文利用Mellin变换的经典反演公式和l2反演公式，得到了lambert型积分变换的相应反演公式。作为这些结果的结果，我们考虑了一类关于Salem等价于Riemann假设的函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.