2015 Fiscal Year Final Research Report
On correlation among some properties of arithmetic zeta functions
| Project/Area Number |
25800031
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Tokyo Denki University |
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Principal Investigator |
Mishou Hidehiko 東京電機大学, 情報環境学部, 准教授 (10435456)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | ゼータ関数 |
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| Outline of Final Research Achievements |
On Theme 1 "Steuding Conjecture", I obtained the joint universality theorem for a pair of zeta functions with real coefficients and the joint universality theorem for a set of the Riemann zeta function and two automorphic L-functions.
On Theme 2 "Value distribution of the Riemann zeta function z(s) with respect to the imaginary part of zeros", I showed that for a positive number d less than 1, the universality property holds for z(s+idg) as g varies, where g denotes the imaginary part of a complex zero of z(s).
On Theme 3 "Joint universality for zeta functions with respect to arithmetic parameters", I obtained that the joint universality theorem for Dirichlet L-functions in the character aspect and the joint universality theorem for quadratic L-functions in the real character aspect (joint work with Hirofumi Nagoshi (Gunma University)).
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| Free Research Field |
解析的整数論
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