Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

A remark on the Ikeda lift and local singular series polynomials

Author(s): YoungJu Choie; Winfried Kohnen
Journal: Proc. Amer. Math. Soc. 136 (2008), 1559-1563.
MSC (2000): Primary 11F46
Posted: October 18, 2007
Retrieve article in: PDF DVI PostScript

Abstract | References | Similar articles | Additional information

Abstract: We relate a certain number-theoretic function occurring in a linear version of Ikeda's lifting map to local singular series polynomials.

References:

1.: T. Ikeda: On the lifting of elliptic modular forms to Siegel cusp forms of degree . Ann. of Math. (2) 154, 641-681 (2001). MR 1884618 (2002m:11037)
2.: H. Katsurada: An explicit form for Siegel series. Amer. J. Math. 121 (1999), 415-452. MR 1680317 (2000a:11068)
3.: Y. Kitaoka: Dirichlet series in the theory of Siegel modular forms. Nagoya Math. J. 95 (1984), 73-84. MR 759464 (86b:11038)
4.: W. Kohnen: Modular forms of half-integral weight on $\Gamma_0(4)$ . Math. Ann. 248 (1980), 249-266. MR 575942 (81j:10030)
5.: W. Kohnen: Lifting modular forms of half-integral weight to Siegel modular forms of even genus. Math. Ann. 322, 787-809 (2002). MR 1905104 (2003d:11067)
6.: G. Shimura: On modular forms of half-integral weight. Ann. of Math. 97 (1973), 440-481. MR 0332663 (48:10989)


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS