Spectral properties of arithmetic functions

Teturo Kamae

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1976-1977)

  • Volume: 18, Issue: 1, page 1-8

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Kamae, Teturo. "Spectral properties of arithmetic functions." Séminaire Delange-Pisot-Poitou. Théorie des nombres 18.1 (1976-1977): 1-8. <http://eudml.org/doc/110964>.

@article{Kamae1976-1977,
author = {Kamae, Teturo},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Secrétariat mathématique},
title = {Spectral properties of arithmetic functions},
url = {http://eudml.org/doc/110964},
volume = {18},
year = {1976-1977},
}

TY - JOUR
AU - Kamae, Teturo
TI - Spectral properties of arithmetic functions
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1976-1977
PB - Secrétariat mathématique
VL - 18
IS - 1
SP - 1
EP - 8
LA - eng
UR - http://eudml.org/doc/110964
ER -

References

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  1. [1] Bésineau ( J.). - Indépendance statistique d'ensembles liés à la fonction "somme des chiffres", Acta Arithm., Warszawa, t. 20, 1976, p. 401-416. Zbl0252.10052MR304335
  2. [2] Coquet ( J.) and Mendès France ( M.). - Suites à spectre vide et suites pseudo-aléatoires, Acta Arithm., Warszawa, t. 32, 1976, p. 99-106. Zbl0303.10047MR435019
  3. [3] Coquet ( J.), Kamae ( T.) and Mendès France ( M.). - Sur la mesure spectrale decertaines suites arithmétiques (to appear). Zbl0383.10035
  4. [4] Daboussi ( H.) and Mendès France ( M.). - Spectrum, almost-periodicity and equidistribution modulo 1 , Studia Scientiarum Mathematicarum Hungarica (to appear). Zbl0321.10043MR374066
  5. [5] Kakutani ( S.). - Ergodic theory of shift transformations, "Proceedings of the fifth Berkeley symposium on mathematical statistics and probability [1965. Berkeley]", vol. 2, part 2, p. 405-414. - Berkeley, University of California Press, 1967. Zbl0217.38004MR227358
  6. [6] Kakutani ( S.). - Strictly ergodic symbolic dynamical systems, "Proceedings of the sixth Berkeley symposium on mathematical statistics and probability [1970. Berkeley]", vol. 2, p. 319-326. - Berkeley, University of California Press, 1972. Zbl0262.28014MR404583
  7. [7] Kolmogorov ( A.N.). - Stationary sequences in Hilbert space [in Russian], Bull. Moskovskogo Univ., Mat., t. 2, 1941, n° 6, 40 p. Zbl0063.03291
  8. [8] Mendès France ( M.). - Nombres normaux. Applications aux fonctions pseudo-aléatoires, J. Analyse math., Jerusalem, t. 20, 1967, p. 1-56 (Thèse Sc. math., Paris1967). Zbl0161.05002MR220683
  9. [9] Mendès France ( M.). - Les suites à spectre vide et la répartition modulo 1 , J. Number Theory, t. 5, 1973, p. 1-15. Zbl0252.10033MR319909
  10. [10] Senge ( H.G. ) and Straus ( E.G.). - PV-numbers and sets of multiplicity, "Proceedings of the Washington State University conference on number theory [1971. Pullman]", p. 55-67. - Pullman, Washington State University Press, 1971. Zbl0251.12001MR319911

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