2003 Fiscal Year Final Research Report Summary
Arithmetic study of Fourier coefficients of modular forms of half integral weight and the special values of zeta functions
| Project/Area Number |
14540002
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | IWATE UNIVERSITY |
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Principal Investigator |
KOJIMA Hisashi Iwate University, Faculty of Education, 教育学部, 教授 (90146118)
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| Co-Investigator(Kenkyū-buntansha) |
KAWADA Koichi Iwate University, Faculty of Education, 教育学部, 助教授 (70271830)
NUMATA Minoru Iwate University, Faculty of Education, 教育学部, 教授 (50028255)
OSHIKIRI Genichi Iwate University, Faculty of Education, 教育学部, 教授 (70133931)
MIYAI Akio Iwate University, Faculty of Education, 教育学部, 講師 (70003960)
KOMIYAMA Haruo Iwate University, Faculty of Education, 教育学部, 助教授 (90042762)
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| Project Period (FY) |
2002 – 2003
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| Keywords | modular forms of half integral weight / zeta function / Jacobi form / modular forms / Maass wave form |
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| Research Abstract |
W.Kohnen reformulated the Ikeda lifting as a linear mapping and he formulated a Maass space of Siegel modular forms of degree 2n. Moreover, he purposed a conjecture that the image of Ikeda lifting is equal to the Maass space of degree 2n. In a joint work with W.Kohnen, we proved that this conjecture is ture in the case where 4|n and 4|n-1.
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