On all real zeros for a new class of the even entire function

Abstract

In this article we propose a new class of the even entire function connected with the product and series with the real coefficients. We address a sufficient condition for all real zeros for it. As a typical example, we give an answer to the problem of Lagarias and Montague. We suggest the open problems for the class of the even entire function.

arXiv commentIn V1, there are 10 pages. In V2, there are 15 pages. We propose a new class of the even entire function. This paper is not publsihed anywhere