Entire functions with an arithmetic sequence of exponents

2024/08/04 by Dallas Ruth, Ruth, Dallas, Khang Tran +1
Mathematics · #11C08 #26C10 #30C15 #Complex Variables (math.CV) #FOS: Mathematics #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.2408.02096

openalex publication_date 2024/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a given entire function f(z)=∑_j=0^∞a_jz^j, we study the zero distribution of f_r(z)=∑_{j≡ r\pmod m}a_jz^j where m∈ℕ and 0≤ r

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