Uniqueness of v-adic Gamma Functions in the Gross-Koblitz-Thakur Formulas

2025/04/22 by Ting-Wei Chang, Chang, Ting-Wei, Hung-Chun Tsui +1
Mathematics · #11L05 #11R58 #Advanced Mathematical Identities #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2504.15697

openalex publication_date 2025/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we determine all continuous non-vanishing functions satisfying Gross-Koblitz-Thakur formulas in positive characteristic.

Citations

• Geometric Gauss Sums and Gross-Koblitz Formula over Function Fields
• v-adic periods of Carlitz motives and Chowla-Selberg formula revisited
• On Epstein's Zeta Function (I)

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