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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1998
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| Online Access: | http://ndltd.ncl.edu.tw/handle/20600449115485564285 |
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ndltd-TW-086CCU005070072016-01-22T04:17:30Z http://ndltd.ncl.edu.tw/handle/20600449115485564285 A New Proof of Kummer's Congruences 庫馬同餘式的新證明 Wang, Deng Lish 王登立 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. Minking Eie 余文卿 1998 學位論文 ; thesis 22 zh-TW |
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NDLTD |
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zh-TW |
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Others
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NDLTD |
| description |
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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| author2 |
Minking Eie |
| author_facet |
Minking Eie Wang, Deng Lish 王登立 |
| author |
Wang, Deng Lish 王登立 |
| spellingShingle |
Wang, Deng Lish 王登立 A New Proof of Kummer's Congruences |
| author_sort |
Wang, Deng Lish |
| title |
A New Proof of Kummer's Congruences |
| title_short |
A New Proof of Kummer's Congruences |
| title_full |
A New Proof of Kummer's Congruences |
| title_fullStr |
A New Proof of Kummer's Congruences |
| title_full_unstemmed |
A New Proof of Kummer's Congruences |
| title_sort |
new proof of kummer's congruences |
| publishDate |
1998 |
| url |
http://ndltd.ncl.edu.tw/handle/20600449115485564285 |
| work_keys_str_mv |
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