Higher-rank zeta functions and SL n -zeta functions for curves

DOI10.1073/pnas.1912501117zbMath1473.11173OpenAlexW3010079137WikidataQ90167755 ScholiaQ90167755MaRDI QIDQ5854839

Don Zagier, Lin Weng

Publication date: 12 March 2021

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.1912501117

zbMATH Keywords

zeta functionscurves over finite fieldsspecial permutationsnonabelian zeta functionzeta functions for \(\mathrm{SL}_n\)

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (1)

Higher-rank zeta functions for elliptic curves

Cites Work

• Moduli spaces of stable pairs and non-abelian zeta functions of curves via wall-crossing
• On the zeros of Weng zeta functions for Chevalley groups
• Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field
• Functional equations of Weng's zeta functions for (<i>G,P</i>)/Q
• Symmetries and the Riemann Hypothesis
• Stability and Arithmetic
• Introduction to Lie Algebras and Representation Theory
• Non-abelian zeta functions for function fields
• Higher-rank zeta functions for elliptic curves
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