A Counterexample in the Theory of Local Zeta Functions

DOI10.1080/10586458.1995.10504330zbMath0869.11095OpenAlexW1992029070WikidataQ124879597 ScholiaQ124879597MaRDI QIDQ4891325

Roland Martin

Publication date: 1 September 1997

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047674390

zbMATH Keywords

Igusa's conjecturegeneralized Igusa local zeta functions\(p\)-adic integral of a complex power function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40)

Uses Software

• crystal
• Maple

Cites Work

• Universal p-adic Zeta Functions and Their Functional Equations
• A Functional Equation of Igusa's Local Zeta Function
• A Maple package for the decomposition of certain tensor products and restrictions of representations using crystal graphs

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