On the sum of a prime and the kth power of a prime

 Access to full text

 Full (PDF)

1. [1] P. X. Gallagher, A large sieve density estimate near σ = 1, Invent. Math. 11 (1970), 329-339. Zbl0219.10048
2. [2] D. R. Heath-Brown, Prime numbers in short intervals and a generalized Vaughan's identity, Canad. J. Math. 34 (1982), 1365-1377. Zbl0478.10024
3. [3] L. K. Hua, Some results in the additive prime number theory, Quart. J. Math. 9 (1938), 68-80. Zbl0018.29404
4. [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. Zbl0858.11044
5. [5] H. Mikawa, On the sum of a prime and a square, Tsukuba J. Math. 17 (1993), 299-310. Zbl0802.11037
6. [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. Zbl0806.11042
7. [7] A. Perelli and J. Pintz, Hardy-Littlewood numbers in short intervals, J. Number Theory 54 (1995), 297-308. Zbl0851.11056
8. [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. Zbl0996.11065
9. [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. Zbl0379.10023
10. [10] W. Schwarz, Zur Darstellung von Zahlen durch Summen von Primzahlpotenzen. II, J. Reine Angew. Math. 206 (1961), 78-112. 
11. [11] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., Clarendon Press, Oxford, 1986. Zbl0601.10026
12. [12] A. Zaccagnini, The exceptional set for the sum of a prime and a k-th power, Mathematika 39 (1992), 400-421. Zbl0760.11026
13. [13] T. Zhan and J. Y. Liu, On a theorem of Hua, Arch. Math. (Basel) 69 (1997), 375-390. Zbl0898.11038