Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FPM_2005_11_6_a9, author = {Yu. V. Malykhin}, title = {Bounds for exponential sums modulo~$p^2$}, journal = {Fundamentalʹna\^a i prikladna\^a matematika}, pages = {81--94}, publisher = {mathdoc}, volume = {11}, number = {6}, year = {2005}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a9/} }
Yu. V. Malykhin. Bounds for exponential sums modulo~$p^2$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 81-94. http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a9/
[1] Karatsuba A. A., “Drobnye doli spetsialnogo vida”, Izv. RAN. Ser. mat., 59:4 (1995), 61–80 | MR | Zbl
[2] Karatsuba A. A., “Dvoinye summy Kloostermana”, Mat. zametki, 66:5 (1999), 682–687 | MR | Zbl
[3] Konyagin S. V., “Otsenki trigonometricheskikh summ po podgruppam i summ Gaussa”, IV Mezhdunarodnaya konferentsiya “Sovremennye problemy teorii chisel i eë prilozheniya”. Aktualnye problemy, Chast III, M., 2002, 86–114 | MR | Zbl
[4] Korobov N. M., Trigonometricheskie summy i ikh prilozheniya, Nauka, M., 1984 | MR
[5] Stepanov S. A., “O chisle tochek giperellipticheskoi krivoi nad prostym konechnym polem”, Izv. AN SSSR. Ser. mat., 33 (1969), 1171–1181 | MR | Zbl
[6] Shparlinskii I. E., “Ob otsenkakh summ Gaussa”, Mat. zametki, 50:1 (1991), 122–130 | MR | Zbl
[7] Bourgain J., Exponential sum estimates over subgroups of $\mathbb Z_q^*$, $q$ arbitrary, Preprint | MR
[8] Bourgain J., Konyagin S., “Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order”, C. R. Math. Acad. Sci. Paris, 337 (2003), 75–80 | MR | Zbl
[9] Heath-Brown D. R., “An estimate for Heilbronn's exponential sum”, Analytic Number Theory, Proc. Conf. in Honor of Heini Halberstam, Birkhäuser, Boston, 1996, 451–463 | MR | Zbl
[10] Heath-Brown D. R., Konyagin S. V., “New bounds for Gauss sums derived from $k^{\text{th}}$ powers, and for Heilbronn's exponential sums”, Quart J. Math., 51 (2000), 221–235 | DOI | MR | Zbl
[11] Konyagin S., Shparlinski I., Character Sums with Exponential Functions, Cambridge University Press, Cambridge, 1999 | MR | Zbl