AN ANALYTIC PERSPECTIVE OF WEIL RECIPROCITY

DOI10.51286/albjm/1675936045MaRDI QIDQ6121736

Lejla Smajlovic, James W. Cogdell, Jay A. Jorgenson

Publication date: 27 February 2024

Published in: Albanian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

resolvent kernelWeil reciprocityKronecker limit formula

Mathematics Subject Classification ID

Algebraic functions and function fields in algebraic geometry (14H05) Green's functions for elliptic equations (35J08)

Cites Work

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• A generalisation of Miller's algorithm and applications to pairing computations on abelian varieties
• Tame class field theory for global function fields
• Another algebraic proof of Weil's reciprocity
• The tame symbol
• Koszul complexes, differential operators, and the Weil-Tate reciprocity law
• The Weil pairing, and its efficient calculation
• Theta functions on Riemann surfaces
• An idelic quotient related to Weil reciprocity and the Picard group
• Applications of Kronecker's limit formula for elliptic Eisenstein series
• Reciprocity and Correspondences
• Generalized reciprocity laws
• Simple Proofs of Classical Explicit Reciprocity Laws on Curves Using Determinant Groupoids Over an Artinian Local Ring
• A Jensen–Rohrlich type formula for the hyperbolic 3-space
• The Poincaré Dual of a Geodesic Algebraic Curve in a Quotient of the 2-Ball
• Residues of differentials on curves
• On the Riemann Hypothesis in Function-Fields

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