On construction of holomorphic cusp forms of half integral weight
- 1 September 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 58 (SEP) , 83-126
- https://doi.org/10.1017/s0027763000016706
Abstract
In [10], G.Shimura gave a method of constructing holomorphic cusp forms of even integral weight from given forms of half integral weight. In this paper, we try to present an inverse construction. To state our main result, some notational preliminaries are necessary. We denote by the complex upper half plane.This publication has 8 references indexed in Scilit:
- On Modular Forms of Half Integral WeightAnnals of Mathematics, 1973
- Theta FunctionsPublished by Springer Nature ,1972
- On an Explicit Construction of a Certain Class of Automorphic FormsAmerican Journal of Mathematics, 1969
- Sur certains groupes d'opérateurs unitairesActa Mathematica, 1964
- Über die räumliche Verteilung der Punkte in Gittern mit indefiniter MetrikMathematische Annalen, 1959
- Indefinite quadratische formen und funktionentheorie IMathematische Annalen, 1951
- INdefinite quadratische Formen und Funktionentheorie IIMathematische Annalen, 1951
- ber eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichlet scher Reihen durch FunktionalgleichungenMathematische Annalen, 1949