scientific article

zbMath1158.14023MaRDI QIDQ3600692

I. B. Fesenko

Publication date: 5 February 2009

Full work available at URL: http://www.ams.org/distribution/mmj/vol8-2-2008/abst8-2-2008.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

generalized Riemann hypothesisharmonic analysiszeta functionzeta integralLaplaceautomorphic representationsmean-periodic functionsarithmetic surfacesboundary termCarleman transformelliptic curves over global fieldsHasse zeta functionsanalytic dualityBirch and SwinnertonDyer conjecturemeromorphic continuation and functional equationtwo-dimensional adelic spaces

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) Generalized class field theory ((K)-theoretic aspects) (19F05)

Related Items (7)

Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki ⋮ Mean-periodicity and zeta functions ⋮ Class field theory, its three main generalisations, and applications ⋮ Geometric two‐dimensional idèles with cycle module coefficients ⋮ Positivity of certain functions associated with analysis on elliptic surfaces ⋮ Integration on valuation fields over local fields ⋮ Zeta integrals on arithmetic surfaces

This page was built for publication: