Geodesic
Estimates of complete rational trigonometric sums with a prime denominator
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 55-59 Cet article a éte moissonné depuis la source Math-Net.Ru

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Upper bounds are proved for special complete rational exponential sums with a prime denominator. 
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A. N. Vasil'ev. Estimates of complete rational trigonometric sums with a prime denominator. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 55-59. http://geodesic.mathdoc.fr/item/VMUMM_2014_2_a8/

[1] Weil A., “On some exponential sums”, Proc. Nat. Acad. Sci. USA, 34:5 (1948), 204–207 | DOI | MR | Zbl

[2] Vinogradov I.M., Izbrannye trudy, Izd-vo AN SSSR, M., 1952 | MR

[3] Karatsuba A.A., “Ob otsenkakh polnykh trigonometricheskikh summ”, Matem. zametki, 1:2 (1967), 199–208 | MR | Zbl

[4] Akulinichev N.M., “Otsenki ratsionalnykh trigonometricheskikh summ spetsialnogo vida”, Dokl. AN SSSR, 161:4 (1965), 743–745 | MR | Zbl

[5] Kostrikin A.I., Vvedenie v algebru. Osnovy algebry, Fizmatlit, M., 2004 | MR