An additive problem with Ramanujan's function
Čebyševskij sbornik, Tome 12 (2011) no. 4, pp. 112-128.

Voir la notice de l'article provenant de la source Math-Net.Ru

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P. V. Snurnitsyn. An additive problem with Ramanujan's function. Čebyševskij sbornik, Tome 12 (2011) no. 4, pp. 112-128. http://geodesic.mathdoc.fr/item/CHEB_2011_12_4_a11/

[1] Ramanujan S., “On certain arithmetical functions”, Trans. Cambridge Philos. Soc., 22:9 (1916), 159–184

[2] Iwaniec H., Topics in classical automorphic forms, Grad. Stud. Math., 17, Amer. Math. Soc., Providence, RI, 1997 | MR | Zbl

[3] Garaev M. Z., Garsia V. S., Konyagin S. V., “Problema Varinga s $\tau$-funktsiei Ramanudzhana”, Izv. RAN. Ser. matem., 72:1 (2008), 39–50 | DOI | MR | Zbl

[4] Garaev M. Z., Garcia V. C., Konyagin S. V., “The Waring problem with the Ramanujan $\tau$-function, II”, Canad. Math. Bull., 52:2 (2009), 195–199 | DOI | MR | Zbl

[5] Snurnitsyn P. V., “O bazisnykh svoistvakh $\tau$-funktsii Ramanudzhana”, Matem. zametki, 90:5 (2011), 736–743 | DOI | MR

[6] Snurnitsyn P. V., “O predstavimosti tselykh chisel znacheniyami funktsii Ramanudzhana”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 6 (2011), 49–52 | MR

[7] Deligne P., “La conjecture de Weil, I”, Publ. Math. Inst. Hautes Étud. Sci., 43 (1974), 273–307 | DOI | MR

[8] Khua Lo-Ken, “Additivnaya teoriya prostykh chisel”, Tr. Matem. in-ta im. V. A. Steklova, 22, Izd-vo AN SSSR, M.–L., 1947, 3–179

[9] Vinogradov I. M., Metod trigonometricheskikh summ v teorii chisel, Nauka, M., 1980 | MR

[10] Karatsuba A. A., Osnovy analiticheskoi teorii chisel, Nauka, M., 1983 | MR