dc.citation.endPage |
26 |
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dc.citation.number |
1 |
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dc.citation.startPage |
10 |
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dc.citation.title |
JOURNAL OF NUMBER THEORY |
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dc.citation.volume |
130 |
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dc.contributor.author |
Sun, Hae-Sang |
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dc.date.accessioned |
2023-12-22T07:36:06Z |
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dc.date.available |
2023-12-22T07:36:06Z |
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dc.date.created |
2015-08-04 |
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dc.date.issued |
2010-01 |
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dc.description.abstract |
We extend the result of Angles (2007) [1], namely f'(T; theta) not equivalent to 0 (mod p) for the Iwasawa power series f(T; theta) is an element of (Z) over bar (p)parallel to T - 1 parallel to. For the derivative D = Td/dT, a numerical polynomial Q on Z(p), and a prime pi in (Z) over bar (p) over p, we show that Q(D)f(T: theta) equivalent to 0 (mod pi) if and only if Q equivalent to 0 (mod pi) i.e. Q (x) equivalent to 0 (mod pi) for all x is an element of Z(p). This result comes from a similar assertion for the power series attached to the Gamma-transform of a p-adic measure which is related to a certain rational function in (Z) over bar (p)parallel to T - 1 parallel to. (C) 2009 Elsevier Inc. All rights reserved |
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dc.identifier.bibliographicCitation |
JOURNAL OF NUMBER THEORY, v.130, no.1, pp.10 - 26 |
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dc.identifier.doi |
10.1016/j.jnt.2009.07.001 |
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dc.identifier.issn |
0022-314X |
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dc.identifier.scopusid |
2-s2.0-70349823164 |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/13336 |
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dc.identifier.url |
http://www.sciencedirect.com/science/article/pii/S0022314X09002029 |
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dc.identifier.wosid |
000271209100002 |
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dc.language |
영어 |
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dc.publisher |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
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dc.title.alternative |
Derivative of power series attached to Gamma-transform of p-adic measures |
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dc.title |
Derivative of power series attached to Gamma-transform of p-adic measures |
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dc.type |
Article |
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dc.description.journalRegisteredClass |
scie |
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dc.description.journalRegisteredClass |
scopus |
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