@article{bwmeta1.element.bwnjournal-article-aav85i2p99bwm,
author = {Claus Bauer},
title = {On the sum of a prime and the kth power of a prime},
journal = {Acta Arithmetica},
volume = {84},
year = {1998},
pages = {99-118},
zbl = {0912.11040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav85i2p99bwm}
}
Claus Bauer. On the sum of a prime and the kth power of a prime. Acta Arithmetica, Tome 84 (1998) pp. 99-118. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav85i2p99bwm/
[000] [1] P. X. Gallagher, A large sieve density estimate near σ = 1, Invent. Math. 11 (1970), 329-339. | Zbl 0219.10048
[001] [2] D. R. Heath-Brown, Prime numbers in short intervals and a generalized Vaughan's identity, Canad. J. Math. 34 (1982), 1365-1377. | Zbl 0478.10024
[002] [3] L. K. Hua, Some results in the additive prime number theory, Quart. J. Math. 9 (1938), 68-80. | Zbl 0018.29404
[003] [4] J. Y. Liu and T. Zhan, Estimation of exponential sums over primes in short intervals II, in: Analytic Number Theory, Proceedings of a Conference in Honor of Heini Halberstam, Vol. 2, Birkhäuser, 1996, 571-606. | Zbl 0858.11044
[004] [5] H. Mikawa, On the sum of a prime and a square, Tsukuba J. Math. 17 (1993), 299-310. | Zbl 0802.11037
[005] [6] A. Perelli and J. Pintz, On the exceptional set for Goldbach's problem in short intervals, J. London Math. Soc. (2) 47 (1993), 41-49. | Zbl 0806.11042
[006] [7] A. Perelli and J. Pintz, Hardy-Littlewood numbers in short intervals, J. Number Theory 54 (1995), 297-308. | Zbl 0851.11056
[007] [8] A. Perelli and A. Zaccagnini, On the sum of a prime and a k-th power, Izv. Ross. Akad. Nauk Mat. 59 (1995), no. 1, 185-200. | Zbl 0996.11065
[008] [9] B. Saffari and R. C. Vaughan, On the fractional parts of x/n and related sequences. II, Ann. Inst. Fourier (Grenoble) 27 (1977), no. 2, 1-30. | Zbl 0379.10023
[009] [10] W. Schwarz, Zur Darstellung von Zahlen durch Summen von Primzahlpotenzen. II, J. Reine Angew. Math. 206 (1961), 78-112.
[010] [11] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., Clarendon Press, Oxford, 1986. | Zbl 0601.10026
[011] [12] A. Zaccagnini, The exceptional set for the sum of a prime and a k-th power, Mathematika 39 (1992), 400-421. | Zbl 0760.11026
[012] [13] T. Zhan and J. Y. Liu, On a theorem of Hua, Arch. Math. (Basel) 69 (1997), 375-390. | Zbl 0898.11038