Estimates of the least prime factor of a binomial coefficient

DOI10.1112/S0025579300007555zbMath0972.11010OpenAlexW1966812625MaRDI QIDQ4494732

Sergei V. Konyagin

Publication date: 8 August 2000

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300007555

zbMATH Keywords

lower boundbinomial coefficientsmooth curveleast prime factornumber of rational points with small denominators

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Lattice points in specified regions (11P21) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99) Geometry of numbers (11H99)

Related Items (1)

Starting with gaps between k-free numbers

Cites Work

• Diophantine approximations and diophantine equations
• The number of lattice points on a convex curve
• The number of integral points on arcs and ovals
• Estimates of the Least Prime Factor of a Binomial Coefficient
• A New Function Associated with the Prime Factors of \binomnk
• The Distribution of Fractional Parts with Applications to Gap Results in Number Theory
• The square-full numbers in an interval
• The Difference Between Consecutive Primes

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