The distribution of smooth numbers in arithmetic progressions

2007/07/02 by K. Soundararajan, Soundararajan, K. · 2 citations
Mathematics · #Analytic Number Theory Research #advanced mathematical theories #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.0707.0299

Abstract

For a wide range of x and y we show that \Cal S(x,y), the set of integers below x composed only of prime factors below y, is equidistributed in the reduced residue classes \pmod q for all q

Cited by

• Primes in simultaneous arithmetic progressions
• Roth's Theorem in Super Smooth Numbers

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