@article{SDPP_1961-1962__3__A9_0, author = {Barrucand, Pierre}, title = {Le probl\`eme de {Waring} et la m\'ethode de {Hardy} (dissection de {Farey)}}, journal = {S\'eminaire Delange-Pisot-Poitou. Th\'eorie des nombres}, note = {talk:15}, pages = {1--34}, publisher = {Secr\'etariat math\'ematique}, volume = {3}, year = {1961-1962}, zbl = {0112.27503}, language = {fr}, url = {http://archive.numdam.org/item/SDPP_1961-1962__3__A9_0/} }
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 N1 - talk:15 PY - 1961-1962 SP - 1 EP - 34 VL - 3 PB - Secrétariat mathématique UR - http://archive.numdam.org/item/SDPP_1961-1962__3__A9_0/ LA - fr ID - SDPP_1961-1962__3__A9_0 ER -
%0 Journal Article %A Barrucand, Pierre %T Le problème de Waring et la méthode de Hardy (dissection de Farey) %J Séminaire Delange-Pisot-Poitou. Théorie des nombres %Z talk:15 %D 1961-1962 %P 1-34 %V 3 %I Secrétariat mathématique %U http://archive.numdam.org/item/SDPP_1961-1962__3__A9_0/ %G fr %F SDPP_1961-1962__3__A9_0
Barrucand, Pierre. Le problème de Waring et la méthode de Hardy (dissection de Farey). Séminaire Delange-Pisot-Poitou. Théorie des nombres, Tome 3 (1961-1962), Exposé no. 15, 34 p. http://archive.numdam.org/item/SDPP_1961-1962__3__A9_0/
[1] Asymptotic expansions of the function Fk(x) ..., Proc. London math. Soc., Series 2, t. 35, 1933, p. 83-100. | Zbl
. -[2] Sommes de Gauss et séries singulières de Hardy pour les cubes, C. R. Acad. Sc. Paris, t. 250, 1960, p. 4249-4251. | MR | Zbl
. -[3] Propriétés de congruence pour les coefficients de Waring-Hardy, C. R. Acad. Sc. Paris, t. 253, 1961, p. 2306-2308. | MR | Zbl
. -[4] Asymptotic expansions of generalized hypergeometric functions, Proc. London math. Soc., Series 2, t. 22, 1923, p. 57-72. | JFM
. -[5] On Waring's problem for cubes, Acta Mathematica, t. 71, 1939, p. 123-143. | JFM | MR | Zbl
. -[6] On Waring's problem for fourth powers, Annals of Math., Series 2, t. 40, 1939, p. 731-747. | MR | Zbl
. -[7] On Waring's problem for fifth and sixth powers, Amer. J. of Math., t. 64, 1942, p. 199-207. | MR | Zbl
. -[8] On sums of positive integral k-th powers, Proc. royal Soc. London, Series A, t. 170, 1939, p. 293-299. | Zbl
. -[9] On sums of positive integral k-th powers, Amer. J. of Math., t. 64, 1942, p. 189-198. | MR | Zbl
. -[10] On an exponential sum, Proc. London math. Soc., Series 2, t. 41, 1936, p. 449-453. | JFM | MR | Zbl
and . -[11] On Waring's problem : Two cubes and one square, Proc. London math. Soc., Series 2, t. 43, 1937, p. 73-104. | MR | Zbl
and . -[12] Proof of the ideal Waring theorem for exponents, Amer. J. of Math., to 58, 1936, p. 521-529. | MR | Zbl
. -[13] Solution of Waring's problem, Amer. J. of Math., t. 58, 1936, p. 530-535. | MR | Zbl
. -[14] On the representations of a number as the sum of two products, Proc. London math. Soc., t. 31, 1930, p. 123-133. | JFM | MR
. -[15] On the representations of a number as the sum of three or more products, Proc. London math. Soc., t. 34, 1932, p. 190-195. | MR | Zbl
. -[16] Four asymptotic formulae in the theory of numbers, J. London math. Soc., t. 24, 1949, p. 13-21. | MR | Zbl
. -[17] An asymptotic formula in the theory of numbers, Trans. Amer. math. Soc., t. 84, 1957, p. 338-351. | MR | Zbl
. -[18] Some problems of "Partitio numerorum", I, Götting. Nachr., 1920, p. 33-54 ; | EuDML | JFM
and . -II, Math. Z., t. 9, 1921, p. 14-27 ; | MR
IV, Math. Z., t. 12, 1922, p. 161-188 ; | MR
VI, Math. Z., t. 23, 1925, p. 1-37 ; | MR
VIII, Proc. London math. Soc., Series 2, t. 28, 1928, p. 518-542.
[19] A new solution of Waring' s problem, Quart. J. of pure and appl. Math., t. 48, 1919, p. 272-293. | JFM
and . -[20] On Waring's problem, Quart. J. of Math., Oxford Series, t. 9, 1938, p. 199-202. | MR | Zbl
. -[21] On the representation of numbers in the form ax2 + by2 + cz2 + dt2 , Acta Mathematica, t. 49, 1926, p. 407-464. | JFM | MR
. -[22] 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]. | MR | Zbl
. -[23] 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]. | MR | Zbl
. -