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P -adic logarithmic forms and group varieties III

P -adic logarithmic forms and group varieties III Let ॅ 1 , … , ॅ n be non-zero algebraic numbers and K be a number field containing ॅ 1 , … , ॅ n . Denote by 𝔭 a prime ideal of the ring of integers in K . We present completely explicit upper bounds for , where with b 1 , … , b n being rational integers and द ≠ 1. The cost n!/2 n −1 of the classical Kummer descent has been removed from the previous best upper bounds. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

P -adic logarithmic forms and group varieties III

Yu, Kunrui
Forum Mathematicum , Volume 19 (2) – Mar 20, 2007
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Publisher
de Gruyter
Copyright
© Walter de Gruyter
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORUM.2007.009
Publisher site
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Abstract

Let ॅ 1 , … , ॅ n be non-zero algebraic numbers and K be a number field containing ॅ 1 , … , ॅ n . Denote by 𝔭 a prime ideal of the ring of integers in K . We present completely explicit upper bounds for , where with b 1 , … , b n being rational integers and द ≠ 1. The cost n!/2 n −1 of the classical Kummer descent has been removed from the previous best upper bounds.

Journal

Forum Mathematicum – de Gruyter

Published: Mar 20, 2007

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