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

2021/07/07 by Yang, Xiao-Jun
#30D99 #FOS: Mathematics #General Mathematics (math.GM) #Primary: 30D10 #Secondary: 30D15

paper · doi:10.48550/arxiv.2107.04005

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.

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