SMOOTH NUMBERS IN SHORT INTERVALS

DOI10.1142/S1793042107000833zbMath1115.11057MaRDI QIDQ3435267

Ernie Croot

Publication date: 25 April 2007

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Kloosterman sumsshort intervalssecond momentsmooth integers

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25)

Related Items (6)

Multiplicative functions in short intervals ⋮ Real zeros of holomorphic Hecke cusp forms and sieving short intervals ⋮ A classification of ECM-friendly families of elliptic curves using modular curves ⋮ Numbers in a given set with (or without) a large prime factor ⋮ A NOTE ON SMOOTH NUMBERS IN SHORT INTERVALS ⋮ Another note on smooth numbers in short intervals

Cites Work

• On the distribution in short intervals of integers having no large prime factor
• Factoring integers with elliptic curves
• Bilinear forms with Kloosterman fractions
• Smoothing ‘smooth’ numbers

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