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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie


IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2018: 1.55

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1435-5345
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Volume 2006, Issue 596

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The μ-invariant of anticyclotomic L-functions of imaginary quadratic fields

Tobias Finis
  • Leipzig; Universität Leipzig, Mathematisches Institut, Fakultät für Mathematik und Informatik, Augustusplatz 10/11, 04109 Leipzig.
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Published Online: 2006-08-16 | DOI: https://doi.org/10.1515/CRELLE.2006.056

Abstract

This paper considers the one-variable p-adic L-function which interpolates the L-values of anticyclotomic Hecke characters of an imaginary quadratic field K in which p splits. Fixing such a character with root number +1, the Iwasawa μ-invariant of the associated branch of the p-adic L-function is computed as a sum of simple local contributions at the inert primes of K. The proof uses a result of Tonghai Yang to relate the p-adic L-function to a measure constructed out of the special values of theta functions with complex multiplication by K.

About the article

Received: 2005-04-25

Published Online: 2006-08-16

Published in Print: 2006-07-01


Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2006, Issue 596, Pages 131–152, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/CRELLE.2006.056.

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