Harman, Glyn On the distribution of \(\sqrt{p}\) modulo one. (English) Zbl 0504.10019 Mathematika 30, 104-116 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 7 Documents MSC: 11J71 Distribution modulo one 11N05 Distribution of primes Keywords:distribution of fractional parts; distribution modulo one; discrepancy; generalized Vaughan’s identity Citations:Zbl 0417.10030 PDFBibTeX XMLCite \textit{G. Harman}, Mathematika 30, 104--116 (1983; Zbl 0504.10019) Full Text: DOI References: [1] DOI: 10.1515/crll.1895.114.255 · doi:10.1515/crll.1895.114.255 [2] Kaufman, Mat. Zam. 26 pp 497– (1979) [3] Kuipers, Uniform distribution of sequences (1974) · Zbl 0281.10001 [4] Brown, Can. J. Math. 34 pp 1365– (1982) · Zbl 0478.10024 · doi:10.4153/CJM-1982-095-9 [5] Brown, Acta Arithmetica 41 pp 85– (1982) [6] DOI: 10.1112/jlms/s2-27.1.9 · Zbl 0504.10018 · doi:10.1112/jlms/s2-27.1.9 [7] Halberstam, Sieve methods (1974) [8] Vinogradov, Special variants of the method of trigonometric sums (1976) · Zbl 0429.10023 [9] Vinogradov, The method of trigonometric sums in the theory of numbers (1954) [10] Vaughan, Acta Arithmetica 37 pp 111– (1980) [11] Titchmarsh, The theory of the Riemann Zeta–function (1951) · Zbl 0042.07901 [12] DOI: 10.2307/1969127 · Zbl 0031.34701 · doi:10.2307/1969127 [13] DOI: 10.1112/jlms/s2-21.2.203 · Zbl 0422.10032 · doi:10.1112/jlms/s2-21.2.203 [14] DOI: 10.1007/BFb0060851 · doi:10.1007/BFb0060851 [15] DOI: 10.1007/BF01578070 · Zbl 0389.10031 · doi:10.1007/BF01578070 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.