An introduction to p-adic and motivic zeta functions and the monodromy conjecture

2009/01/27 by Johannes Nicaise, Nicaise, Johannes
Mathematics · #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.0901.4225

Notes of a lecture at the French-Japanese Winter School on Zeta and L-functions (Miura, January 2008); to appear in the conference proceedings (Memoirs of the Mathematical Society of Japan)

arxiv created 2009/01/27 · openalex publication_date 2009/01/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These notes give a basic introduction to the theory of p-adic and motivic zeta functions, motivic integration, and the monodromy conjecture.

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