Perfect Numbers, Cyclotomic Numbers and ABC Conjecture
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- Ohno Yasuo
- Kinki University
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- Goto Takeshi
- Tokyo University of Science
Bibliographic Information
- Other Title
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- 完全数,円分数,及びABC予想
- カンゼンスウ エン ブンスウ オヨビ ABC ヨソウ
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Description
Jenkins recently showed that an odd perfect number must be divisible by a prime greater than 10^7. The aim of this article is to give a new algorithm to obtain such a lower bound. The theory of cyclotomic numbers plays an important role in the algorithm. We also discuss some relation between cyclotomic numbers and ABC conjecture.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 16 (3), 187-195, 2006
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680744790144
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- NII Article ID
- 110004833369
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 8533666
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed