A generalization of Cohen-Eisenstein series and Shimura Liftings and some congruences between cusp forms and Eisenstein series

作者：Wang, X^*; Pei, D

来源：ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2003, 73(1): 99-130.

DOI：10.1007/BF02941271

• Cohen-Eisenstein series
• Shimura liftings
• congruence

In this paper we introduce some modular forms of half-integral weight on congruence group Gamma(0)(4N) with N an odd positive integer which can be viewed as a natural generalization of Cohen-Eisenstein series. Using these series, we can prove that the restriction of Shimura lifting on Eisenstein space E-k 1/2( ) (4N, chi(l)) gives an isomorphism from E-k 1/2( ) (4N, chi(l)) to E-2k (N). We consider some congruence relationships between modular forms in use of Shimura lifting.

• 出版日期2003
• 单位广州大学; 湖南大学