SMOOTH‐SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE ‐BARRIER

DOI10.1112/S0025579317000225zbMath1428.11174arXiv1704.04831OpenAlexW3101007853MaRDI QIDQ4604478

Andrew Granville, Sary Drappeau, Xuancheng Shao

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04831

zbMATH Keywords

multiplicative functionsarithmetic progressions

Mathematics Subject Classification ID

Rate of growth of arithmetic functions (11N56)

Related Items (7)

WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION? ⋮ Multiplicative functions in short arithmetic progressions ⋮ Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier ⋮ Limitations to equidistribution in arithmetic progressions ⋮ Zeros of Dirichlet polynomials ⋮ Zeros of partial sums of \(L\)-functions ⋮ Character sums with smooth numbers

Cites Work

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• Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier
• Statistical properties of friable integers
• Entiers Sans Grand Facteur Premier En Progressions Arithmetiques
• Répartition Statistique Des Entiers Sans Grand Facteur Premier Dans Les Progressions Arithmétiques
• INTEGERS FREE OF LARGE PRIME DIVISORS IN SHORT INTERVALS
• A new proof of Halász’s theorem, and its consequences
• Théorèmes de type Fouvry–Iwaniec pour les entiers friables
• On the large sieves of Linnik and Rényi

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