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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

Online
ISSN
1435-5345
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Volume 2011, Issue 653

Issues

Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields

Fabian Januszewski
Published Online: 2010-12-14 | DOI: https://doi.org/10.1515/crelle.2011.018

Abstract

We give a construction of a wide class of modular symbols attached to reductive groups. As an application we construct a 𝔭-adic distribution interpolating the special values of the twisted Rankin–Selberg L-function attached to cuspidal automorphic representations π and σ of GLn and GLn–1 over a number field k. If π and σ are ordinary at 𝔭, our distribution is bounded and yields analyticity of the associated 𝔭-adic L-function.

About the article

Received: 2009-05-28

Revised: 2009-11-06

Published Online: 2010-12-14

Published in Print: 2011-04-01


Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2011, Issue 653, Pages 1–45, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crelle.2011.018.

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[1]
Lennart Gehrmann
Israel Journal of Mathematics, 2018
[2]
Fabian Januszewski
Annales mathématiques du Québec, 2016, Volume 40, Number 2, Page 453
[3]
Fabian Januszewski
International Mathematics Research Notices, 2015, Volume 2015, Number 17, Page 7884

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