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The square sieve and consecutive square-free numbers. (English) Zbl 0514.10038


MSC:

11N35 Sieves
11N05 Distribution of primes

Citations:

Zbl 0368.10038
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References:

[1] Carlitz, L.: On a problem in additive arithmetic. Quart. J. Math. Oxford Ser.3, 273-290 (1932) · JFM 58.0185.01 · doi:10.1093/qmath/os-3.1.273
[2] Erdös, P., Szekeres, G.: Über die Anzahl der Abelschen Gruppen gegebener Ordnung und über ein verwandtes zahlentheoretisches Problem. Acta Sci. Math. Szeged7, 95-102 (1935) · JFM 60.0893.02
[3] Gallagher, P.X.: A larger sieve. Acta Arith.18, 77-81 (1971) · Zbl 0231.10028
[4] Hayes, D.: Character sums over finite fields. (unpublished)
[5] Hooley, C.: On the representations of a number as the sum of four cubes: I. Proc. London Math. Soc. (3)36, 117-140 (1978) · Zbl 0368.10038 · doi:10.1112/plms/s3-36.1.117
[6] Iwaniec, H.: A new form of the error term in the linear sieve. Acta Arith.37, 307-320 (1980) · Zbl 0444.10038
[7] Montgomery, H.L.: Topics in multiplicative number theory. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0216.03501
[8] Shiu, P.: A Brun-Titchmarsh theorem for multiplicative functions. J. reine angew. Math. Math.313, 161-170 (1980) · Zbl 0412.10030 · doi:10.1515/crll.1980.313.161
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