On a variance associated with the distribution of general sequences in arithmetic progressions. II

DOI10.1098/RSTA.1998.0186zbMath0902.11040OpenAlexW4240182152MaRDI QIDQ4208014

Robert C. Vaughan

Publication date: 31 August 1998

Published in: Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1998.0186

zbMATH Keywords

Hardy-Littlewood methoddistribution in residue classesasymptotic behaviour of the variancesequences in arithmetic progressions

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Distribution of integers in special residue classes (11N69) Primes in congruence classes (11N13)

Related Items (7)

Sums of two unlike powers in arithmetic progressions ⋮ Some new results on \(k\)-free numbers ⋮ A Montgomery-Hooley theorem for sums of two cubes ⋮ Multiplicative functions in short arithmetic progressions ⋮ A Montgomery-Hooley theorem for the number of Goldbach representations ⋮ The divisor function on residue classes II ⋮ The divisor function on residue classes. III

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