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P-adic logarithmic forms and group varieties III
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Kunrui Yu
Published/Copyright:
March 12, 2007
Abstract
Let α1, … , αn be non-zero algebraic numbers and K be a number field containing α1, … , αn. Denote by 𝔭 a prime ideal of the ring of integers in K. We present completely explicit upper bounds for 
, where 
with b1, … , bn being rational integers and Ξ ≠ 1. The cost n!/2n−1 of the classical Kummer descent has been removed from the previous best upper bounds.
Received: 2005-02-08
Revised: 2005-06-27
Published Online: 2007-03-12
Published in Print: 2007-03-20
© Walter de Gruyter
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Articles in the same Issue
- P-adic logarithmic forms and group varieties III
- Moving homology classes to infinity
- On a class of locally finite T-groups
- On Ext-universal modules in Gödel's universe
- Paraproducts in one and several parameters
- Labeled configuration spaces and group completions
- Universal localizations embedded in power-series rings
Articles in the same Issue
- P-adic logarithmic forms and group varieties III
- Moving homology classes to infinity
- On a class of locally finite T-groups
- On Ext-universal modules in Gödel's universe
- Paraproducts in one and several parameters
- Labeled configuration spaces and group completions
- Universal localizations embedded in power-series rings
