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Article

Schlage-Puchta, Jan-Christoph
Lower bounds for expressions of large sieve type. (English). Archivum Mathematicum, vol. 45 (2009), issue 2, pp. 79-82
MSC: 11N35, 30B20 | MR 2591664 | Zbl 05819035
Keywords:
Large sieve; random series
Summary:
We show that the large sieve is optimal for almost all exponential sums.
References:
[1] Erdős, P., Rényi, A.: Some remarks on the large sieve of Yu. V. Linnik. Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 11 (1968), 3–13. MR 0241378
[2] Gallagher, P. X.: The large sieve. Mathematika 14 (1967), 14–20. DOI 10.1112/S0025579300007968 | MR 0214562 | Zbl 0163.04401
[3] Montgomery, H. L.: Multiplicative Number Theory. Lecture Notes in Math. 227 (1971). DOI 10.1007/BFb0060851 | Zbl 0216.03501
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