@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}, mrnumber = {1760532}, zbl = {1019.11028}, language = {en}, url = {http://archive.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 SP - 591 EP - 613 VL - 28 IS - 4 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1999_4_28_4_591_0/ 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 28 %N 4 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1999_4_28_4_591_0/ %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, Série 4, Tome 28 (1999) no. 4, pp. 591-613. http://archive.numdam.org/item/ASNSP_1999_4_28_4_591_0/
[1] Diophantine Inequalities", Oxford, Clarendon Press, 1986. | MR | Zbl
, "[2] Simultaneous diophantine approximation with square-free numbers, Acta Arith. 63 (1993), 52-60. | MR | Zbl
- - ,[3] On the exponential sum over k-free numbers, Philos. Trans. Roy. Soc. London Ser. A 356 (1998), 739-761. | MR | Zbl
- - - - ,[4] 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] 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] Sums of three or more primes, Trans. Amer. Math. Soc. 349 (1997), 287-310. | MR | Zbl
- ,[7] 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] Trigonometric sums over primes, I, Mathematika 28 (1981), 249-254. | MR | Zbl
,[9] The square sieve and consecutive square-free numbers, Math. Ann. 226 (1984), 251-259. | MR | Zbl
,[10] 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] A new proof of the Goldbach-Vinogradov theorem (Russian), Mat. Sbornik 19 (1946), 3-8. | MR | Zbl
,[12] 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] Error terms in additive prime number theory, Quart. J. Math. Oxford (2) 24 (1973), 207-216. | MR | Zbl
- ,[14] On square-free numbers in arithmetic progressions, Monatsh. Math. 73 (1969), 433-448. | Zbl
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