The mean value of products of Legendre symbol over primes
https://doi.org/10.22405/2226-8383-2019-20-2-336-347
References
1. Vinogradov I. M. Special Variants of the Method of Trigonometric Sums. Moscow: Nauka, 1976, pp. 119.
2. Vinogradov I. M. Distribution of quadratic residues and non-residues of the type p + k with the respect to prime modulus// Matem.sb., 1938, 3(45), 311–320 (abstract in English).
3. Vinogradov I. M. An improvement of the method of estimating sums of primes// Izv. Akad. Nauk SSSR Ser. Matem., 1943, 7, 17–34 (abstract in English).
4. Vinogradov I. M. A new approach to estimating the values of χ (p + k ) // Izv. Akad. Nauk SSSR Ser. Matem., 1952, 16, 17–34 (abstract in English).
5. Vinogradov I. M. An improved estimate of the sums of χ (p + k ) // Izv. Akad. Nauk SSSR Ser. Matem., 1953, 17, 17–34 (abstract in English).
6. Karatsuba A. A. Character sums over primes// Izv. Akad. Nauk SSSR Ser. Matem., 1970, 34, 299–321. (abstract in English).
7. Karatsuba A. A. Character sums over primes belonging to the arithmetic progression// Izv. Akad. Nauk SSSR Ser. Matem., 1971, 35, 469–484 (abstract in English).
8. Vinogradov I. M. The method of trigonometric sums in number theory. 2-nd edition, revised and enlarged, Moscow, Nauka, 1980, pp. 144.
9. Vinogradov I. M. Elements of Number Theory. 10-th Edition. Sankt-Petersburg.: Publ. house "Lan’ 2004, pp. 176.
10. Hua L.-K. Selected Papers. New York Inc.: Springer Verlag, 1983, pp. 888.
11. Hua L.-K. The method of trigonometric sums in number theory. Moscow: Mir, 1964, pp. 188.
12. Arkhipov G. I., Karatsuba A. A., Chubarikov V. N. The theory of multiple trigonometric sums. Moscow: Nauka. 1987, pp. 368.
13. Arkhipov G. I. Selected Papers. Orjol: Izd-vo Orlovskogo gosudarstvennogo universiteta. 2013, pp. 464.
14. Arkhipov G. I., Chubarikov V. N., Karatsuba A. A. Trigonometric Sums in Number Theory and Analysis. – Berlin–New York: Walter de Gruyter (de Gruyter Expositions in Mathematics 39). 2004.
Review
For citations:
Chubarikov V.N. The mean value of products of Legendre symbol over primes. Chebyshevskii Sbornik. 2019;20(2):336-347. (In Russ.) https://doi.org/10.22405/2226-8383-2019-20-2-336-347