Caractérisation des fonctions multiplicatives presque- B λ périodiques à spectre non vide

Hédi Daboussi

Annales de l'institut Fourier (1980)

  • Volume: 30, Issue: 3, page 141-166
  • ISSN: 0373-0956

Abstract

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We give a characterization of multiplicative functions which are almost periodic in the sense of Bésicovitch and have a non empty Fourier spectrum.

How to cite

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Daboussi, Hédi. "Caractérisation des fonctions multiplicatives presque-$B^\lambda $ périodiques à spectre non vide." Annales de l'institut Fourier 30.3 (1980): 141-166. <http://eudml.org/doc/74457>.

@article{Daboussi1980,
abstract = {Nous caractérisons, dans cet article, les fonctions multiplicatives presque périodiques au sens de Bésicovith ayant un spectre de Fourier non vide.},
author = {Daboussi, Hédi},
journal = {Annales de l'institut Fourier},
keywords = {characterization of number theoretic functions; almost periodic multiplicative functions},
language = {fre},
number = {3},
pages = {141-166},
publisher = {Association des Annales de l'Institut Fourier},
title = {Caractérisation des fonctions multiplicatives presque-$B^\lambda $ périodiques à spectre non vide},
url = {http://eudml.org/doc/74457},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Daboussi, Hédi
TI - Caractérisation des fonctions multiplicatives presque-$B^\lambda $ périodiques à spectre non vide
JO - Annales de l'institut Fourier
PY - 1980
PB - Association des Annales de l'Institut Fourier
VL - 30
IS - 3
SP - 141
EP - 166
AB - Nous caractérisons, dans cet article, les fonctions multiplicatives presque périodiques au sens de Bésicovith ayant un spectre de Fourier non vide.
LA - fre
KW - characterization of number theoretic functions; almost periodic multiplicative functions
UR - http://eudml.org/doc/74457
ER -

References

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  1. [1] A.S. BESICOVITCH, Almost periodic functions, Dover Publications. Zbl0065.07102
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  3. [3] H. DELANGE, Quelques résultats sur les fonctions multiplicatives, C.R. Acad. Sc., Paris, 281 Série A (1975), 997-1000. Zbl0336.10041MR52 #13710
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  11. [11] I. KUBILIUS, Probabilistic methods in the theory of numbers, Transl. Math. Monographs, vol. 11, Amer. Math. Soc. Providence. Zbl0133.30203
  12. [12] E.V. NOVOSELOV, A new method in probabilistic number theory, Amer. Math. Soc. Transl., 52 (1966), 217-275. Zbl0218.10070
  13. [13] W. SCHWARZ and J. SPILKER, Mean values and Ramanujan expansions of almost E.A.C., Colloquia Math. S. Janos Bolyai 13, Topics in Number theory, Debrecen, 1974. Zbl0343.10038
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  15. [15] A. WINTNER, Number theoretical almost periodicities, Amer. J. Math., 67 (1945), 173-193. Zbl0060.10505MR6,260f

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