Problème de Waring avec exposants non entiers
Bulletin de la Société Mathématique de France, Tome 101 (1973), pp. 285-295. 
@article{BSMF_1973__101__285_0,
     author = {Deshouillers, Jean-Marc},
     title = {Probl\`eme de {Waring} avec exposants non entiers},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {285--295},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {101},
     year = {1973},
     doi = {10.24033/bsmf.1762},
     mrnumber = {49 #7223},
     zbl = {0292.10038},
     language = {fr},
     url = {https://www.numdam.org/articles/10.24033/bsmf.1762/}
}
TY  - JOUR
AU  - Deshouillers, Jean-Marc
TI  - Problème de Waring avec exposants non entiers
JO  - Bulletin de la Société Mathématique de France
PY  - 1973
SP  - 285
EP  - 295
VL  - 101
PB  - Société mathématique de France
UR  - https://www.numdam.org/articles/10.24033/bsmf.1762/
DO  - 10.24033/bsmf.1762
LA  - fr
ID  - BSMF_1973__101__285_0
ER  - 
%0 Journal Article
%A Deshouillers, Jean-Marc
%T Problème de Waring avec exposants non entiers
%J Bulletin de la Société Mathématique de France
%D 1973
%P 285-295
%V 101
%I Société mathématique de France
%U https://www.numdam.org/articles/10.24033/bsmf.1762/
%R 10.24033/bsmf.1762
%G fr
%F BSMF_1973__101__285_0
Deshouillers, Jean-Marc. Problème de Waring avec exposants non entiers. Bulletin de la Société Mathématique de France, Tome 101 (1973), pp. 285-295. doi : 10.24033/bsmf.1762. https://www.numdam.org/articles/10.24033/bsmf.1762/

[1] Deshouillers (J. M.). - Un problème binaire en théorie additive, Acta Arithm., Warszawa, t. 25, fasc. 4, p. 393-403. | MR | Zbl

[2] Erdös (P.) et Turán (P.). - On a problem in the theory of uniform distribution, I, II, Indag. Math., Amsterdam, t. 10, 1948, p. 370-378 et 406-413. | Zbl

[3] Koksma (J. F.). - The theory of asymptotic distribution modulo 1, Nuffic international summer session in Science [1962, Breukelen], p. 1-22. - Groningen, P. Noordhoff, 1964 ; et Comp. Math., Groningen, t. 16, 1964, p. 1-22. | Numdam | Zbl

[4] Segal (B. I.). - Théorème de Waring pour les exposants fractionnaires et irrationnels [en russe], Trudy Mat. Inst. Steklova, t. 5, 1933, p. 73-86. | JFM

[5] Vinogradov (I. M.). - The method of trigonometrical sums in the theory of numbers. - London, Interscience Publishers, 1954. | Zbl

  • Yoshida, Yuuya Asymptotic and non-asymptotic results for a binary additive problem involving Piatetski-Shapiro numbers, Journal of Number Theory, Volume 265 (2024), p. 138 | DOI:10.1016/j.jnt.2024.06.012
  • Iosevich, Alex; Langowski, Bartosz; Mirek, Mariusz; Szarek, Tomasz Z. Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres, Mathematische Annalen, Volume 388 (2024) no. 2, p. 2041 | DOI:10.1007/s00208-022-02557-8
  • Huang, Jing; Han, Ao; Liu, Huafeng On a Diophantine equation with prime variables, AIMS Mathematics, Volume 6 (2021) no. 9, p. 9602 | DOI:10.3934/math.2021559
  • Li, Sanhua On a Diophantine equation with prime numbers, International Journal of Number Theory, Volume 15 (2019) no. 08, p. 1601 | DOI:10.1142/s1793042119300011
  • Cai, Yingchun On a Diophantine equation involving primes, The Ramanujan Journal, Volume 50 (2019) no. 1, p. 151 | DOI:10.1007/s11139-018-0027-6
  • Akbal, Yıldırım; Güloğlu, Ahmet M. WARING'S PROBLEM WITH PIATETSKI‐SHAPIRO NUMBERS, Mathematika, Volume 62 (2016) no. 2, p. 524 | DOI:10.1112/s0025579315000340
  • Rakhmonov, P. Z. Short sums with a noninteger power of a natural number, Mathematical Notes, Volume 95 (2014) no. 5-6, p. 697 | DOI:10.1134/s0001434614050125
  • Рахмонов, Парвиз Заруллоевич; Rakhmonov, Parviz Zarulloevich Короткие суммы с нецелой степенью натурального числа, Математические заметки, Volume 95 (2014) no. 5, p. 763 | DOI:10.4213/mzm10205
  • Narkiewicz, Władysław The Thirties, Rational Number Theory in the 20th Century (2012), p. 195 | DOI:10.1007/978-0-85729-532-3_4
  • Chan, T. H.; Kumchev, A. V.; Wierdl, M. Additive bases arising from functions in a Hardy field, Acta Mathematica Hungarica, Volume 129 (2010) no. 3, p. 263 | DOI:10.1007/s10474-010-0028-4
  • Deshouillers, J. -M.; Plagne, A. A Sidon basis, Acta Mathematica Hungarica, Volume 123 (2009) no. 3, p. 233 | DOI:10.1007/s10474-008-8097-3
  • Urban, Roman; Zienkiewicz, Jacek Fractional time-dependent Schrödinger equation on the Heisenberg group, Mathematische Zeitschrift, Volume 260 (2008) no. 4, p. 931 | DOI:10.1007/s00209-008-0308-7
  • Boshernitzan, Michael; Kolesnik, Grigori; Quas, Anthony; Wierdl, Máté Ergodic averaging sequences, Journal d'Analyse Mathématique, Volume 95 (2005) no. 1, p. 63 | DOI:10.1007/bf02791497

Cité par 13 documents. Sources : Crossref