2017 Fiscal Year Final Research Report
A Study of arithmetic functions and zeta functions related to the cryptography and coding theory
| Project/Area Number |
26400028
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kindai University |
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Principal Investigator |
CHINEN Koji 近畿大学, 理工学部, 准教授 (30419486)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | ゼータ関数 / リーマン予想 / 数論的関数 |
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| Outline of Final Research Achievements |
The error-correcting codes, which are indispensable for the communication, have several aspects related to pure mathematics. In this study, the author investigates one such aspect, "zeta functions for linear codes" and related topics. More precisely, the author finds new families of divisible formal weight enumerators and studies their properties.
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| Free Research Field |
整数論
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