Almost powers in short intervals

DOI10.1007/BF01193915zbMath0524.10037OpenAlexW2014816293MaRDI QIDQ585273

Jan Turk

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193915

zbMATH Keywords

short intervalsalmost powers with equal exponents

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Transcendence (general theory) (11J81) Distribution of primes (11N05)

Related Items (4)

Discrete fractional integrals, lattice points on short arcs, and diophantine approximation ⋮ Gap principle of divisibility sequences of polynomials ⋮ Factors of almost squares and lattice points on circles ⋮ Divisibility on the sequence of perfect squares minus one: the gap principle

Cites Work

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• Diophantine approximation
• The product of two or more neighboring integers is never a power
• Effective estimates of solutions of some diophantine equations
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• On the least solution of Pell’s equation

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