P-Adic Integration on Ray Class Groups and Non-ordinary p-Adic L-Functions

DOI10.1007/978-3-642-55245-8_12zbMath1384.11100arXiv1304.4042OpenAlexW1759720042MaRDI QIDQ5261384

David Loeffler

Publication date: 3 July 2015

Published in: Contributions in Mathematical and Computational Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4042

zbMATH Keywords

ray class group\(p\)-adic \(L\)-functionsLandau-Hölder-continuity condition

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

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Cites Work

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• Spaces of functions of class \(C^r\) on \(\mathcal O_F\)
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Refined conjectures of the ``Birch and Swinnerton-Dyer type
• \(p\)-adic \(L\)-functions for \(\text{GL}(2n)\)
• Motives over totally real fields and \(p\)-adic \(L\)-functions
• On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
• Automorphic symbols, <i>p</i>-adic <i>L</i>-functions and ordinary cohomology of Hilbert modular varieties
• Iwasawa theory and p-adic L-functions over ${\mathbb Z}_{p}^{2}$-extensions
• Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields
• Nearly ordinary Galois deformations over arbitrary number fields