Le problème de Waring et la méthode de Hardy (dissection de Farey)
Séminaire Delange-Pisot-Poitou. Théorie des nombres (1961-1962)
- Volume: 3, page 1-34
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topBarrucand, Pierre. "Le problème de Waring et la méthode de Hardy (dissection de Farey)." Séminaire Delange-Pisot-Poitou. Théorie des nombres 3 (1961-1962): 1-34. <http://eudml.org/doc/110611>.
@article{Barrucand1961-1962,
author = {Barrucand, Pierre},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {Waring problem; Farey dissection},
language = {fre},
pages = {1-34},
publisher = {Secrétariat mathématique},
title = {Le problème de Waring et la méthode de Hardy (dissection de Farey)},
url = {http://eudml.org/doc/110611},
volume = {3},
year = {1961-1962},
}
TY - JOUR
AU - Barrucand, Pierre
TI - Le problème de Waring et la méthode de Hardy (dissection de Farey)
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1961-1962
PB - Secrétariat mathématique
VL - 3
SP - 1
EP - 34
LA - fre
KW - Waring problem; Farey dissection
UR - http://eudml.org/doc/110611
ER -
References
top- [1] Bakhoom ( N.G.). - Asymptotic expansions of the function Fk(x) ..., Proc. London math. Soc., Series 2, t. 35, 1933, p. 83-100. Zbl0006.30904
- [2] Barrucand ( Pierre). - Sommes de Gauss et séries singulières de Hardy pour les cubes, C. R. Acad. Sc. Paris, t. 250, 1960, p. 4249-4251. Zbl0097.03501MR113869
- [3] Barrucand ( Pierre). - Propriétés de congruence pour les coefficients de Waring-Hardy, C. R. Acad. Sc. Paris, t. 253, 1961, p. 2306-2308. Zbl0119.04104MR137691
- [4] Burwell ( W.R.). - Asymptotic expansions of generalized hypergeometric functions, Proc. London math. Soc., Series 2, t. 22, 1923, p. 57-72. Zbl49.0251.06JFM49.0251.06
- [5] Davenport ( H.). - On Waring's problem for cubes, Acta Mathematica, t. 71, 1939, p. 123-143. Zbl0021.10601MR26JFM65.0144.04
- [6] Davenport ( H.). - On Waring's problem for fourth powers, Annals of Math., Series 2, t. 40, 1939, p. 731-747. Zbl0024.01402MR253
- [7] Davenport ( H.). - On Waring's problem for fifth and sixth powers, Amer. J. of Math., t. 64, 1942, p. 199-207. Zbl0060.11909MR5499
- [8] Davenport ( H.). - On sums of positive integral k-th powers, Proc. royal Soc. London, Series A, t. 170, 1939, p. 293-299. Zbl0022.00803
- [9] Davenport ( H.). - On sums of positive integral k-th powers, Amer. J. of Math., t. 64, 1942, p. 189-198. Zbl0060.11908MR5498
- [10] Davenport ( H.) and Heilbronn ( H.). - On an exponential sum, Proc. London math. Soc., Series 2, t. 41, 1936, p. 449-453. Zbl0014.25201JFM62.0178.01
- [11] Davenport ( H.) and Heilbronn ( H.). - On Waring's problem : Two cubes and one square, Proc. London math. Soc., Series 2, t. 43, 1937, p. 73-104. Zbl0016.24601
- [12] Dickson ( L.E.). - Proof of the ideal Waring theorem for exponents, Amer. J. of Math., to 58, 1936, p. 521-529. Zbl0014.25102MR1507175
- [13] Dickson ( L.E.). - Solution of Waring's problem, Amer. J. of Math., t. 58, 1936, p. 530-535. Zbl0014.25103MR1507176
- [14] Estermann ( T.). - On the representations of a number as the sum of two products, Proc. London math. Soc., t. 31, 1930, p. 123-133. Zbl56.0174.02JFM56.0174.02
- [15] Estermann ( T.). - On the representations of a number as the sum of three or more products, Proc. London math. Soc., t. 34, 1932, p. 190-195. Zbl0005.10002
- [16] Halberstam ( H.). - Four asymptotic formulae in the theory of numbers, J. London math. Soc., t. 24, 1949, p. 13-21. Zbl0032.01402MR28337
- [17] Halberstam ( H.). - An asymptotic formula in the theory of numbers, Trans. Amer. math. Soc., t. 84, 1957, p. 338-351. Zbl0087.04304MR84519
- [18] Hardy ( G.H.) and Littlewood ( J.E.). - Some problems of "Partitio numerorum", I, Götting. Nachr., 1920, p. 33-54 ; Zbl47.0114.02JFM47.0114.02
- II, Math. Z., t. 9, 1921, p. 14-27 ; MR1544448
- IV, Math. Z., t. 12, 1922, p. 161-188 ; MR1544511
- VI, Math. Z., t. 23, 1925, p. 1-37 ; MR1544728
- VIII, Proc. London math. Soc., Series 2, t. 28, 1928, p. 518-542.
- [19] Hardy ( G.H.) and Littlewood ( J.E.). - A new solution of Waring' s problem, Quart. J. of pure and appl. Math., t. 48, 1919, p. 272-293. JFM47.0114.01
- [20] Hua ( Loo Keng). - On Waring's problem, Quart. J. of Math., Oxford Series, t. 9, 1938, p. 199-202. Zbl0020.10504MR29415
- [21] Kloosterman ( H.D.). - On the representation of numbers in the form ax2 + by2 + cz2 + dt2 , Acta Mathematica, t. 49, 1926, p. 407-464. JFM53.0155.01
- [22] Nečaev ( V.I.). - Waring's problem for polynomials, Amer. math. Soc. Translations, Series 2, t. 3, 1956, p. 39-90 [Trudy Mat. Inst. Steklov., t. 38, 1951, p. 190-243]. Zbl0053.35904
- [23] Val'fiŠ ( A.Z.). - On the representation of numbers by sums of squares asymptotic formules, Amer. math. Soc. Translations, Series 2, t. 3, 1956, p. 163-248 [Uspekhi Mat. Nauk, N. S., t. 7, 1952, p. 97-178]. Zbl0070.27305MR62159
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