Geodesic
An uncertainty principle for arithmetic sequences
Andrew Granville1 ; Kannan Soundararajan2
1 Département de mathématiques et de statistique, Université de Montréal, CP 6128 succ Centre-Ville, Montréal, QC, Canada
2 Department of Mathematics, Stanford University, Stanford, CA 94305, United States
Annals of mathematics, Tome 165 (2007) no. 2, pp. 593-635.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Analytic number theorists usually seek to show that sequences which appear naturally in arithmetic are “well-distributed” in some appropriate sense. In various discrepancy problems, combinatorics researchers have analyzed limitations to equidistribution, as have Fourier analysts when working with the “uncertainty principle”. In this article we find that these ideas have a natural setting in the analysis of distributions of sequences in analytic number theory, formulating a general principle, and giving several examples.
DOI : 10.4007/annals.2007.165.593

Andrew Granville 1 ; Kannan Soundararajan 2

1 Département de mathématiques et de statistique, Université de Montréal, CP 6128 succ Centre-Ville, Montréal, QC, Canada
2 Department of Mathematics, Stanford University, Stanford, CA 94305, United States 
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Andrew Granville; Kannan Soundararajan. An uncertainty principle for arithmetic sequences. Annals of mathematics, Tome 165 (2007) no. 2, pp. 593-635. doi : 10.4007/annals.2007.165.593. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.165.593/

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