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On a criterion of linear independence of \(p\)-adic numbers

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Publication:692608
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DOI10.1007/s00229-011-0521-2zbMath1270.11070OpenAlexW2005729113MaRDI QIDQ692608

Yuri V. Nesterenko

Publication date: 6 December 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-011-0521-2


Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72) (p)-adic and power series fields (11D88)


Related Items

Linear independence result for \(p\)-adic \(L\)-values, Quantitative generalizations of Nesterenkos's linear independence criterion, Generalization of the criteria for linear independence of Nesterenko, Amoroso, Colmez, Fischler and Zudilin, Vectors of type II Hermite-Padé approximations and a new linear independence criterion



Cites Work

  • Unnamed Item
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  • A refinement of Nesterenko's linear independence criterion with applications to zeta values
  • On the linear independence of numbers
  • On the linear independence of numbers over number fields
  • On the linear independence in algebraic number fields
  • On linear independence
  • La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
  • AN APPLICATION OF NESTERENKO'S DIMENSION ESTIMATE TO p-ADIC q-SERIES
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