2008•Journal of Xi'an Technological UniversityRequires access

The Growth of Entire Dirichlet Series of Infinite Order

Maochun Zhu

Abstract

The growth of entire Dirichlet series of infinite order is investigated.A strictly monotone increasing function and a new growth index are introduced.The relation between the growth on this function and the coefficients of entire Dirichlet series of infinite order is obtained under a weaker index condition.Introducing the function is of theoretical significance in studying the growth of entire Dirichlet series of infinite order.

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Key concepts: Dirichlet series, Mathematics, General Dirichlet series, Dirichlet eta function, Dirichlet kernel, Dirichlet L-function, Monotone polygon, Series (stratigraphy)