Lefschetz trace formulas and explicit formulas in analytic number theory.

DOI10.1515/crll.1993.441.1zbMath0782.11034OpenAlexW132188839WikidataQ56813087 ScholiaQ56813087MaRDI QIDQ4694661

Christopher Deninger

Publication date: 9 August 1993

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002210789

zbMATH Keywords

Hardy spacesHecke \(L\)-functionArakelov theoryexplicit formulaeidèle class groupLefschetz trace formulas

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Zeta functions and (L)-functions of number fields (11R42) Distribution of prime ideals (11R44) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

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Explicit formulas for the spectral side of the trace formula of ${\rm SL(2)}$ ⋮ Li coefficients for automorphic \(L\)-functions ⋮ Abstract intersection theory for zeta-functions: geometric aspects ⋮ The Sound of Fractal Strings and the Riemann Hypothesis ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back ⋮ Euler’s constant: Euler’s work and modern developments ⋮ Notes on the Poisson formula

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