On the Barban-Davenport-Halberstam theorem. I.

DOI10.1515/crll.1975.274-275.206zbMath0304.10027OpenAlexW2106539084MaRDI QIDQ4058730

C. Hooley

Publication date: 1975

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002190559

Mathematics Subject Classification ID

Primes in congruence classes (11N13)

Related Items (21)

A generalization of the Barban-Davenport-Halberstam theorem to number fields ⋮ Lower bounds for sums of Barban-Davenport-Halberstam type. (Supplement) ⋮ Sums of two unlike powers in arithmetic progressions ⋮ Some new results on \(k\)-free numbers ⋮ A Montgomery-Hooley theorem for sums of two cubes ⋮ The Barban–Davenport–Halberstam theorem for a restricted set of arithmetic progressions ⋮ Residue classes containing an unexpected number of primes ⋮ Moments of moments of primes in arithmetic progressions ⋮ Disproving Hooley's conjecture ⋮ A Montgomery-Hooley theorem for the number of Goldbach representations ⋮ On a variance of Hecke eigenvalues in arithmetic progressions ⋮ Generalized divisor functions in arithmetic progressions: II ⋮ ON VAUGHAN’S APPROXIMATION IN RESTRICTED SETS OF ARITHMETIC PROGRESSIONS ⋮ A generalization of the Montgomery-Hooley theorem ⋮ On the theorem of Barban and Davenport-Halberstam in algebraic number fields ⋮ Variance of arithmetic sums and \(L\)-functions in \(\mathbb F_q[t\)] ⋮ The divisor function on residue classes II ⋮ Sparser variance for primes in arithmetic progression ⋮ Barban-Davenport-Halberstam average sum and exceptional zero of \(L\)-functions ⋮ A Montgomery-Hooley type theorem for prime \(k\)-tuplets ⋮ The divisor function on residue classes. III

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