Geodesic
On the sum of a~prime and a~$k$-th power
Izvestiya. Mathematics , Tome 59 (1995) no. 1, pp. 189-204.

Voir la notice de l'article provenant de la source Math-Net.Ru

The distribution of Hardy–Littlewood numbers in short intervals is considered. Bibliography: 13 titles. 
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A. Perelli; A. Zaccagnini. On the sum of a~prime and a~$k$-th power. Izvestiya. Mathematics , Tome 59 (1995) no. 1, pp. 189-204. http://geodesic.mathdoc.fr/item/IM2_1995_59_1_a7/

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[I] Ivić A., The Riemann Zeta-function, Wiley, 1985 | MR | Zbl

[K--P--P] Kaczorowski J., Perelli A., Pintz J., “A note on the exceptional set for Goldbach's problem in short intervals”, Mh. für Math., 116 (1993), 275–282 | DOI | MR | Zbl

[M] Mikawa H., “On the sum of a prime and a square”, Tsukuba J. Math., 17 (1993), 299–310 | MR | Zbl

[N--P] Nair M., Perelli A., “On the prime ideal theorem and irregularities in the distribution of primes”, Duke Math. J. (to appear) | MR

[P--P] Perelli A., Pintz J., “Hardy–Littlewood numbers in short intervals”, J. Number Theory (to appear) | MR

[P] Plaksin V. A., “On a question of Hua Loo-Keng”, Math. Notes, 47 (1990), 278–286 | MR | Zbl

[T] Titchmarsh E. C., The Theory of the Riemann Zeta-Function, $2^{\text{nd}}$ edition, Oxford U. P., 1986 | MR | Zbl

[Va] Vaughan R. C., The Hardy–Littlewood Method, Cambridge Univ. Press, 1981 | MR

[Vi] Vinogradov A. I., “On a binary problem of Hardy and Littlewood”, Acta Arith., 46 (1985), 33–56 (in Russian) | MR | Zbl

[Z] Zaccagnini A., “On the exceptional set for the sum of a prime and a $k$-th power”, Mathematika, 39 (1992), 400–421 | MR | Zbl