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Zeros of entire functions

Zeros of entire functions

Introduction.This paper is the outgrowth of the author's Ph.D. thesis written under the supervision of Professor A. Peyerimhoff, whose paper on zeros of power series [4] has been the starting point.§1 contains some lemmas due to A. Peyerimhoff, which are needed in §2.In all theorems (with the exception of Theorem …