On Lara Rodríguez' full conjecture for double zeta values in function fields

2017/01/17 by Ryotaro Harada, Harada, Ryotaro
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1701.04552

openalex publication_date 2017/01/17 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

This paper discusses four formulae conjectured by J. A. Lara Rodríguez on certain power series in function fields, which yield a 'harmonic product' formula for Thakur's double zeta values. We prove affirmatively the first two formulae. While we detect and correct errors in the last two formulae, and prove the corrected ones.

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