ON HECKE <i>L</i>-FUNCTIONS ATTACHED TO CUSP FORMS OF HALF-INTEGRAL WEIGHT

Winfried Kohnen

Type: Article

Publication Date: 2021-01-01

Citations: 0

DOI: https://doi.org/10.2206/kyushujm.75.125

Abstract

We give a characterization of cusp forms of half-integral weight of level four in the plus space in terms of a functional equation of attached L-series.

Locations

Kyushu Journal of Mathematics - View - PDF

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Works Cited by This (10)

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+	Modular forms and Dirichlet series	1969	A. P. Ogg
+ PDF Chat	Modular forms for 𝐺₀(𝑁) and Dirichlet series	1977	Michael J. Razar
+	�ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen	1967	Andr� Weil
+	Modular forms of half-integral weight on ?0(4)	1980	Winfried Kohnen
+ PDF Chat	Modular forms of half integral weight and the integral of certain theta-functions	1975	Shinji Niwa
+	On Modular Forms With Associated Dirichlet Series	1969	A. P. Ogg
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura
+ PDF Chat	A conjectural extension of Hecke’s converse theorem	2017	Sandro Bettin Jonathan Bober Andrew R. Booker Brian Conrey Min Lee Giuseppe Molteni Thomas Oliver David J. Platt Raphael S. Steiner
+ PDF Chat	Newforms of half-integral weight.	1982	Winfried Kohnen
+	Modular Forms for Γ 0 (N) and Dirichlet Series	1977	Michael J. Razar

ON HECKE &lt;i&gt;L&lt;/i&gt;-FUNCTIONS ATTACHED TO CUSP FORMS OF HALF-INTEGRAL WEIGHT