A New Proof of Kummer's Congruences
碩士 === 國立中正大學 === 應用數學研究所 === 86 === The classical Kummer's congruences on Bernoulli numbers play an important role in the construction of p-adic L-function initiated by Kubota and Leopoldt in 1964. In particular, these congruences...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
1998
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| Online Access: | http://ndltd.ncl.edu.tw/handle/20600449115485564285 |
| Summary: | 碩士 === 國立中正大學 === 應用數學研究所 === 86 === The classical Kummer's congruences on Bernoulli numbers play
an important role in the construction of p-adic L-function
initiated by Kubota and Leopoldt in 1964. In particular, these
congruences imply the continuity of the p-adic Riemann zeta
function on a certain p-adic space. In this paper, we reprove
von Staudt's theorem by a similar Bernoulli identity used in the
proof if Kummer's congruences.
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