A motivic version of Pellikaan's two variable zeta function

2003/02/11 by F. Baldassarri, Francesco Baldassarri, Christopher Deninger +6
Computer Science · Mathematics · #14G10 #14H99 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #math.AG #msc:14G10 #msc:14H99

paper · pdf · doi:10.48550/arxiv.math/0302121

11 pages

arxiv created 2003/02/11 · openalex publication_date 2003/02/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Combining the idea of motivic zeta function, due to Kapranov, and Pellikaan's definition of a two- variable zeta function for curves over finite fields in the present note we introduce a motivic two- variable zeta function for curves over arbitrary fields and prove the generalizations of Pellikaan's results in this context.

Citations

• The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups

Related

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• Multiple zeta values with varying constant fields
• Multiplicative zeta function and logarithmic point counting over finite fields
• The dlt motivic zeta function is not well-defined