References
J.-R. Chen, On large numbers as sum of three almost equal primes,Sci. Sinica,14 (1965), 1113–1117.
D. R. Heath-Brown, Prime numbers in short intervals and a generalized Vaughan identity,Can. J. Math.,34 (1982), 1365–1377.
H. L. Montgomery,Topics in Multiplicative Number Theory. Springer Lecture Notes 227 (1971).
C.-D. Pan, Some results in the additive prime number theory (Chinese),Acta Math. Sinica,9 (1959), 316–329.
K. Prachar,Primzahlverteilung. Springer Verlag (1957).
R. C. Vaughan, Mean value theorems in prime number theory,J. London Math. Soc. 10 (1975), 153–162.
R. C. Vaughan, Sommes trigonométriques sur les nombres premiers,C. R. Acad. Sci. Paris, Sér. A,258 (1977), 981–983.
I. M. Vinogradov,The method of trigonometrical sums in the theory of numbers. Interscience (1954).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Balog, A., Perelli, A. Exponential sums over primes in short intervals. Acta Math Hung 48, 223–228 (1986). https://doi.org/10.1007/BF01949067
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01949067