Explicit formula in an imaginary quadratic number field

DOI10.1134/S207004662404006XMaRDI QIDQ6668733

John J. Rodriguez-Vega, Oscar F. Casas-Sánchez

Publication date: 22 January 2025

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

imaginary quadratic number fieldTate's thesisWeil explicit formulazeroes of zeta functions

Mathematics Subject Classification ID

Algebraic number theory: global fields (11Rxx) Abstract harmonic analysis (43Axx) Zeta and (L)-functions: analytic theory (11Mxx)

Cites Work

• Taibleson operators, \(p\)-adic parabolic equations and ultrametric diffusion
• Riesz potentials and explicit sums in arithmetic
• Pseudo-differential equations and stochastics over non-Archimedean fields
• Sur les formules explicites I : analyse invariante
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