On integers which are the sum of a power of 2 and a polynomial value

DOI10.1007/s00574-014-0063-9zbMath1366.11064OpenAlexW2057600070MaRDI QIDQ487057

Florian Luca, Carlos Gustavo T.de A. Moreira, Carl B. Pomerance

Publication date: 19 January 2015

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-014-0063-9

zbMATH Keywords

Diophantine inequalitiesapplications of the Roth-Ridout theorem

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine inequalities (11D75) Linear forms in logarithms; Baker's method (11J86) Schmidt Subspace Theorem and applications (11J87)

Cites Work

• Solution of the minimum modulus problem for covering systems
• Some remarks on Sierpiński numbers and related problems
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Not Every Number is the Sum or Difference of Two Prime Powers
• On integers which are not differences of two powers
• Rational approximations to algebraic numbers
• Rational approximations to algebraic numbers
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