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Some mean-value theorems for exponential sums. (English) Zbl 0615.10046
Reviewed together with ibid. 449-472 (see the following review).

##### MSC:
 11L40 Estimates on character sums 11P99 Additive number theory; partitions
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##### References:
 [1] E. Bombieri - H. Iwaniec , On the order of \zeta (1/2 + it) , Ann. Scuola Norm. Sup. Pisa , Cl. Sci. , 13 , no. 3 ( 1986 ), pp. 449 - 472 . Numdam | Zbl 0615.10047 · Zbl 0615.10047 · numdam:ASNSP_1986_4_13_3_449_0 · eudml:83987 [2] G.H. Hardy - J.E. Littlewood , Some problems of diophantine approximation, Collected papers of G. H. Hardy , Oxford , 1966 , pp. 193 - 238 . [3] D.R. Heath-Brown , The Pjateckij-Šapiro prime number theorem , J. Number Theory , 46 ( 1983 ), pp. 242 - 266 . MR 698168 | Zbl 0513.10042 · Zbl 0513.10042 · doi:10.1016/0022-314X(83)90044-6 [4] L. Hörmander , The existence of wave operators in scattering theory , Math. Z. , 446 ( 1976 ), pp. 69 - 91 . Article | MR 393884 | Zbl 0319.35059 · Zbl 0319.35059 · doi:10.1007/BF01213717 · eudml:172297 [5] E.C. Titchmarsh , The theory of the Riemann Zeta-function , Oxford , 1951 . MR 46485 | Zbl 0042.07901 · Zbl 0042.07901 [6] R.C. Vaughan , The Hardy-Littlewood Method , Cambridge , 1982 . MR 628618 | Zbl 0455.10034 · Zbl 0455.10034 [7] I.M. Vinogradov , Izbrannye Trudy , Moscow , 1952 . · Zbl 0048.03104
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