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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
MathSciNet review:
2373584
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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
. 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)
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Additional Information:
YoungJu
Choie
Affiliation:
Department of Mathematics, Pohang Institute of Science and Technology, Pohang 790-784, Korea
Email:
yjc@postech.ac.kr
Winfried
Kohnen
Affiliation:
Universität Heidelberg, Mathematisches Institut, INF 288, D-69120 Heidelberg, Germany
Email:
winfried@mathi.uni-heidelberg.de
DOI:
10.1090/S0002-9939-07-09189-7
PII:
S 0002-9939(07)09189-7
Received by editor(s):
October 17, 2006
Received by editor(s) in revised form:
April 23, 2007
Posted:
October 18, 2007
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2007,
American Mathematical Society
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