Literature cited
H. L. Montgomery and R. C. Vaughan, “The exceptional set in Goldbach's problem,” Acta Arith.,27, 353–370 (1975).
A. I. Vinogradov, “On a binary problem of Hardy-Littlewood,” Acta Arith.,46, 33–56 (1985).
Yu. V. Linnik, “Some conditional theorems pertaining to a binary problem of Goldbach,” Izv. Akad. Nauk SSSR, Ser. Mat.,16, 347–368 (1952).
R. C. Vaughan, The Hardy-Littlewood Method, Cambridge University Press (1981).
A. A. Karatsuba, Fundamentals of Analytic Number Theory [in Russian], Nauka, Moscow (1983).
A. Walfisz, Lattice Points in Higher-Dimensional Spheres [Russian translation], Academy of Sciences of the GSSR, Tbilisi (1960).
R. J. Miech, “On the equation n=p+x2,” Trans. Am. Math. Soc.,130, No. 3, 494–512 (1968).
I. V. Polyakov, “On the exceptional set of sums of a prime and a square,” Izv. Akad. Nauk SSSR, Ser. Mat.,45, No. 6, 1391–1423 (1981).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 47, No. 4, pp. 90–99, April, 1990.
The author is most grateful to A. F. Lavrik and A. I. Vinogradov for their unfailing interest in this research.
Rights and permissions
About this article
Cite this article
Polyakov, I.V. Sum of a prime and a square. Mathematical Notes of the Academy of Sciences of the USSR 47, 373–380 (1990). https://doi.org/10.1007/BF01163821
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01163821