Petersson norm of cusp forms associated to real quadratic fields

Yingkun Li

Type: Article

Publication Date: 2018-02-02

Citations: 2

DOI: https://doi.org/10.1515/forum-2017-0227

Abstract

Abstract In this article, we compute the Petersson norm of a family of weight one cusp forms constructed by Hecke and express it in terms of the Rademacher symbol and the regulator of real quadratic fields.

Locations

arXiv (Cornell University) - View - PDF
Forum Mathematicum - View

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Action	Title	Year	Authors
+ PDF Chat	Another product for a Borcherds form	2016	Stephen S. Kudla
+	The logarithm of the dedekind ?-function	1987	Michael Atiyah
+	Zur Theorie der Dedekindschen Summen	1955	Hans Rademacher
+ PDF Chat	The regularized Siegel–Weil formula (the second term identity) and the Rallis inner product formula	2014	Wee Teck Gan Yannan Qiu Shuichiro Takeda
+ PDF Chat	None	2003	Stephen S. Kudla
+ PDF Chat	Automorphic forms with singularities on Grassmannians	1998	Richard E. Borcherds
+ PDF Chat	L-Functions and the Oscillator Representation	1987	Stephen Rallis