P-adic logarithmic forms and group varieties III

DOI10.1515/FORUM.2007.009zbMath1132.11038OpenAlexW2064056765MaRDI QIDQ5435163

Kunrui Yu

Publication date: 14 January 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2007.009

zbMATH Keywords

lower boundslogarithms of algebraic numbersmeasure of linear independencelogarithmic forms\(p\)-adic analysisBaker's theory\(p\)-adic estimateslinear forms in \(p\)-adic logarithms of algebraic numbers

Mathematics Subject Classification ID

Linear forms in logarithms; Baker's method (11J86) Approximation in non-Archimedean valuations (11J61)

Related Items (24)

Complete solution of the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n}$ ⋮ Fractional parts of powers of real algebraic numbers ⋮ On the digital representation of smooth numbers ⋮ Root repulsion and faster solving for very sparse polynomials over \(p\)-adic fields ⋮ The Catalan equation ⋮ On divisors of Lucas and Lehmer numbers ⋮ \(p\)-adic logarithmic forms and a problem of Erdős ⋮ Logarithms of algebraic numbers ⋮ Shimura curves and the abc conjecture ⋮ On the abc$abc$ conjecture in algebraic number fields ⋮ On modules of integral elements over finitely generated domains ⋮ ‐PARTS OF TERMS OF INTEGER LINEAR RECURRENCE SEQUENCES ⋮ Picard curves over with good reduction away from 3 ⋮ Markov triples with two Fibonacci components ⋮ NOTE ON FOURIER–STIELTJES COEFFICIENTS OF COIN-TOSSING MEASURES ⋮ Finding all \(S\)-Diophantine quadruples for a fixed set of primes \(S\) ⋮ Study of the rational case of the theory of linear forms in logarithms ⋮ Arithmetic representations of fundamental groups. I. ⋮ On the digital representation of integers with bounded prime factors ⋮ Optimal systems of fundamental \(S\)-units for LLL-reduction ⋮ Computing integral points on \(X_{\mathrm{ns}}^+(p)\) ⋮ Obituary of Alan Baker FRS ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010) ⋮ A p-adic lower bound for a linear form in logarithms

Cites Work

• On Siegel's lemma
• Sections of the unit ball of \(\ell ^ n_ p\)
• Multiplicity estimates on group varieties
• On a fundamental inequality in number theory
• Logarithmic forms and group varieties.
• Uniformly counting points of bounded height
• Transcendental Numbers in the P-Adic Domain

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