Séries trigonométriques à coefficients arithmétiques | Zendy

Régis de la Bretèche | Zendy; Gérald Tenenbaum | Zendy

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Séries trigonométriques à coefficients arithmétiques

Author(s) -

Régis de la Bretèche,

Gérald Tenenbaum

Publication year - 2004

Publication title -

journal d analyse mathématique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.189

H-Index - 53

eISSN - 1565-8538

pISSN - 0021-7670

DOI - 10.1007/bf02787756

Subject(s) - multiplicative function , mathematics , fourier series , class (philosophy) , series (stratigraphy) , type (biology) , calculus (dental) , algebra over a field , mathematical economics , pure mathematics , epistemology , mathematical analysis , philosophy , medicine , paleontology , ecology , dentistry , biology

By exploiting the recent analytic tool of friable summation, this work describes a new approach to a class of problems in multiplicative number theory and Fourier series theory originated by H. Davenport. A definite answer to the last original question of Davenport of this type, which was still open, as well as a number of other applications, is given.

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