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Ochiai, Hiroyuki
- Milnor’s Multiple Gamma Functions
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Authors
Affiliations
1 Department of Mathematics, Tokyo Institute of Technology, Oh-Okayama Meguro, Tokyo-152-0033, JP
2 Department of Mathematics, Nagoya University, Chikusa, Nagoya-464-8602, JP
3 Kyushu University, Hakozaki Fukuoka-812-8581, JP
1 Department of Mathematics, Tokyo Institute of Technology, Oh-Okayama Meguro, Tokyo-152-0033, JP
2 Department of Mathematics, Nagoya University, Chikusa, Nagoya-464-8602, JP
3 Kyushu University, Hakozaki Fukuoka-812-8581, JP
Source
Journal of the Ramanujan Mathematical Society, Vol 21, No 2 (2006), Pagination: 153-167Abstract
We study basic properties of Milnor’s multiple gamma functions. Moreover, we introduce new multiple sine functions from these Milnor’s functions and show the difficult special values of the Dirichlet L-functions can be expressed by these functions.- Monoidal Absolute Derivations for Non-Commutative Rings
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Authors
Affiliations
1 Department of Mathematics, Tokyo Institute of Technology, Oh-Okayama, Tokyo 152-8551, JP
2 Department of Mathematics, Nagoya University, Chikusa, Nagoya 464-8602, JP
1 Department of Mathematics, Tokyo Institute of Technology, Oh-Okayama, Tokyo 152-8551, JP
2 Department of Mathematics, Nagoya University, Chikusa, Nagoya 464-8602, JP
Source
Journal of the Ramanujan Mathematical Society, Vol 19, No 4 (2004), Pagination: 261-265Abstract
We show the structure theorem of the monoidal absolute derivations of the matrix algebra over a commutative ring. In particular, those over the ring of rational integers are inner.- Mutliple Trigonometry and Zeta Functions
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Authors
Affiliations
1 Department of Mathematics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, JP
2 Graduate School of Mathematics, Kyushu University, Fukuoka 812-8581, JP
1 Department of Mathematics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, JP
2 Graduate School of Mathematics, Kyushu University, Fukuoka 812-8581, JP
Source
Journal of the Ramanujan Mathematical Society, Vol 17, No 2 (2002), Pagination: 101-113Abstract
The purpose of this paper is to express the value of the Riemann zeta function at the positive odd integers in terms of the multiple sine functions. We also study the multiple trigonometric functions including the multiple cosine functions. Especially, we derive the algebraic differential equation satisfied by the multiple trigonometric functions.- Kronecker’s Jugendtraum and Ring Sine Functions
Abstract Views :164 |
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Authors
Affiliations
1 Department of Mathematics, Tokyo Institute of Technology, Meguro, Tokyo-152-8551, JP
2 Graduate School of Mathematics, Kyushu University, Fukuoka-812-8581, JP
1 Department of Mathematics, Tokyo Institute of Technology, Meguro, Tokyo-152-8551, JP
2 Graduate School of Mathematics, Kyushu University, Fukuoka-812-8581, JP