Vinogradov, I. M.; Karatsuba, A. A. The method of trigonometric sums in number theory. (English) Zbl 0603.10037 Proc. Steklov Inst. Math. 168, 3-30 (1986). Translation from Tr. Mat. Inst. Steklova 168, 4-30 (Russian) (1984; Zbl 0549.10027). Cited in 1 Document MathOverflow Questions: Quick reference for general Weyl’s inequality in number theory MSC: 11L03 Trigonometric and exponential sums (general theory) 11L40 Estimates on character sums 11-02 Research exposition (monographs, survey articles) pertaining to number theory 11-03 History of number theory 11M06 \(\zeta (s)\) and \(L(s, \chi)\) 11N05 Distribution of primes 11N13 Primes in congruence classes 11N37 Asymptotic results on arithmetic functions 11P55 Applications of the Hardy-Littlewood method 11P05 Waring’s problem and variants 11P32 Goldbach-type theorems; other additive questions involving primes Keywords:Vinogradov’s method; trigonometric sums; Russian school; multiple trigonometric sums Citations:Zbl 0549.10027 PDFBibTeX XMLCite \textit{I. M. Vinogradov} and \textit{A. A. Karatsuba}, Proc. Steklov Inst. Math. 168, 3--30 (1986; Zbl 0603.10037)