no. 4
Exponential sums and additive problems involving square-free numbers
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 28 (1999) no. 4, pp. 591-613. 
@article{ASNSP_1999_4_28_4_591_0,
     author = {Br\"udern, J\"org and Perelli, Alberto},
     title = {Exponential sums and additive problems involving square-free numbers},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {591--613},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 28},
     number = {4},
     year = {1999},
     zbl = {1019.11028},
     mrnumber = {1760532},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1999_4_28_4_591_0/}
}
TY  - JOUR
AU  - Brüdern, Jörg
AU  - Perelli, Alberto
TI  - Exponential sums and additive problems involving square-free numbers
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1999
DA  - 1999///
SP  - 591
EP  - 613
VL  - Ser. 4, 28
IS  - 4
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1999_4_28_4_591_0/
UR  - https://zbmath.org/?q=an%3A1019.11028
UR  - https://www.ams.org/mathscinet-getitem?mr=1760532
LA  - en
ID  - ASNSP_1999_4_28_4_591_0
ER  - 
%0 Journal Article
%A Brüdern, Jörg
%A Perelli, Alberto
%T Exponential sums and additive problems involving square-free numbers
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1999
%P 591-613
%V Ser. 4, 28
%N 4
%I Scuola normale superiore
%G en
%F ASNSP_1999_4_28_4_591_0
Brüdern, Jörg; Perelli, Alberto. Exponential sums and additive problems involving square-free numbers. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 28 (1999) no. 4, pp. 591-613. http://www.numdam.org/item/ASNSP_1999_4_28_4_591_0/

[1] R.C. Baker, "Diophantine Inequalities", Oxford, Clarendon Press, 1986. | MR | Zbl

[2] R.C. Baker - J. Brüdern - G. Harman, Simultaneous diophantine approximation with square-free numbers, Acta Arith. 63 (1993), 52-60. | MR | Zbl

[3] J. Brüdern - A. Granville - A. Perelli - R.C. Vaughan - T.D. Wooley, On the exponential sum over k-free numbers, Philos. Trans. Roy. Soc. London Ser. A 356 (1998), 739-761. | MR | Zbl

[4] T. Estermann, On the representations of a number as the sum of two numbers not divisible by kth powers, J. London Math. Soc. 6 (1931), 37-40. | JFM | Zbl

[5] C.J.A. Evelyn - E.H. Linfoot, On a problem in the additive theory of numbers, I: Math. Z. 30 (1929), 433-448; II: J. Reine Angew. Math. 164 (1931), 131-140; III: Math. Z. 34 (1932), 637-644; IV: Ann. of Math. 32 (1931), 261-270; V: Quart. J. Math. 3 (1932), 152-160; VI: Quart. J. Math. 4 (1933), 309-314. | MR

[6] J.B. Friedlander - D.A. Goldston, Sums of three or more primes, Trans. Amer. Math. Soc. 349 (1997), 287-310. | MR | Zbl

[7] G.H. Hardy - J.E. Littlewood, Some problems of "partitio numerorum", III: On the expression of a number as a sum of primes, Acta Math. 44 (1923), 1-70. | JFM

[8] G. Harman, Trigonometric sums over primes, I, Mathematika 28 (1981), 249-254. | MR | Zbl

[9] D.R. Heath-Brown, The square sieve and consecutive square-free numbers, Math. Ann. 226 (1984), 251-259. | MR | Zbl

[10] A. Languasco - A. Perelli, On Linnik's theorem on Goldbach numbers in short intervals and related problems, Ann. Inst. Fourier (Grenoble) 44 (1994), 307-322. | Numdam | MR | Zbl

[11] J.V. Linnik, A new proof of the Goldbach-Vinogradov theorem (Russian), Mat. Sbornik 19 (1946), 3-8. | MR | Zbl

[12] L. Mirsky, On a theorem in the additive theory of numbers due to Evelyn and Linfoot, Math. Proc. Cambridge Phil. Soc. 44 (1948), 305-312. | MR | Zbl

[13] H.L. Montgomery - R.C. Vaughan, Error terms in additive prime number theory, Quart. J. Math. Oxford (2) 24 (1973), 207-216. | MR | Zbl

[14] R. Warlimont, On square-free numbers in arithmetic progressions, Monatsh. Math. 73 (1969), 433-448. | Zbl