Class number and values of L-functions with cusp forms
| Project/Area Number |
19740015
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Hiroshima University |
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Principal Investigator |
ICHIHARA Yumiko Hiroshima University, 理学部, 准教授 (80372689)
|
|---|
| Project Period (FY) |
2007 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥4,020,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥720,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
|
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| Keywords | 整数論 / 数論 / non-vanishing / L関数 / 特殊値 / 蘭数 / ジーゲル・竜沢の定理 |
|---|
| Research Abstract |
I studied the space of cusp forms whose level is prime power and obtained an orthogonal basis of space of old forms. It's yielded the number of the new forms which L-function does not vanish.
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Report
(6 results)
Research Products
(17 results)
