Multiplicative functions in arithmetic progressions

DOI10.1007/s40316-013-0001-zzbMath1306.11078arXivmath/0702389OpenAlexW2056317547MaRDI QIDQ743704

Kannan Soundararajan, Andrew Granville, Antal Balog

Publication date: 30 September 2014

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702389

zbMATH Keywords

mean value estimatesmultiplicative functionprimes in residue classesvalues on the unit disc

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Primes in congruence classes (11N13)

Related Items (12)

Pólya-Vinogradov and the least quadratic nonresidue ⋮ Large odd order character sums and improvements of the Pólya-Vinogradov inequality ⋮ Multiple ergodic theorems for arithmetic sets ⋮ Multiplicative functions in short arithmetic progressions ⋮ Three conjectures about character sums ⋮ Effective means for complex multiplicative functions ⋮ Different approaches to the distribution of primes ⋮ Generalized Fourier coefficients of multiplicative functions ⋮ Asymptotics for multilinear averages of multiplicative functions ⋮ The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures ⋮ Pretentiousness in analytic number theory ⋮ A lower bound for the variance of generalized divisor functions in arithmetic progressions

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• Some assertions equivalent to the prime number theorem for arithmetic progressions
• An Elementary Proof of the Prime-Number Theorem for Arithmetic Progressions
• Exponential sums with multiplicative coefficients
• The spectrum of multiplicative functions

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