Zeta integrals on arithmetic surfaces

DOI10.1090/spmj/1432zbMath1383.14007OpenAlexW2283760656MaRDI QIDQ2822788

Thomas Oliver

Publication date: 5 October 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://research-information.bris.ac.uk/ws/files/63394382/ZetaIntegralsOnArithmeticSurfacesAcceptedVersion.pdf

zbMATH Keywords

zeta functionHasse-Weil \(L\)-functionlocal fieldadelescomplete discrete valuation fieldscheme of finite type

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a representation of the idele class group related to primes and zeros of \(L\)-functions
• Integration on valuation fields over local fields
• De Rham cohomology and conductors of curves
• Conductor, discriminant, and the Noether formula of arithmetic surfaces
• On the Parshin-Beilinson adeles for schemes
• Analysis on arithmetic schemes. I
• Residues and adeles
• Mean-periodicity and zeta functions
• The irreducibility of the space of curves of a given genus
• Analysis on arithmetic schemes. II
• Chern classes, adeles and L-functions.
• ON THE ARITHMETIC OF TWO-DIMENSIONAL SCHEMES. I. DISTRIBUTIONS AND RESIDUES
• Spherical Hecke algebras of SL 2 over 2-dimensional local fields
• Two-Dimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2)

This page was built for publication: Zeta integrals on arithmetic surfaces