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Large values of the error term in the divisor problem. (English) Zbl 0489.10045


MSC:

11N37 Asymptotic results on arithmetic functions
11M06 \(\zeta (s)\) and \(L(s, \chi)\)
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References:

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[3] Heath-Brown, D.R.: The mean value theorem for the Riemann zeta-function. Mathematika25, 177–184 (1978) · Zbl 0396.10025 · doi:10.1112/S0025579300009414
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[7] Kolesnik, G.: On the estimation of {\(\Delta\)} (R) and {\(\zeta\)} (1/2+it). Pacific J. Maths98, 107–122 (1982) · Zbl 0476.10032
[8] Kolesnik, G.: On the estimation of multiple exponential sums, Recent Progress in Analytic Number Theory Vol. 1, pp. 231–246. London: Academic Press 1981
[9] Montgomery, H.L.: Topics in multiplicative number theory. Lecture Notes Mathematics, vol. 227, Berlin-Heidelberg-New York: Springer 1971 · Zbl 0216.03501
[10] Phillips, E.: The zeta-function of Riemann; further developments of van der Corput’s method. Quart. J. Math. Oxford4, 209–225 (1933) · JFM 59.0204.01 · doi:10.1093/qmath/os-4.1.209
[11] Titchmarsh, E.C.: The theory of the Riemann zeta-function. Oxford, 1951 · Zbl 0042.07901
[12] Tong, K.-C.: On divisor problems III. Acta Math. Sinica6, 515–545 (1956) · Zbl 0075.25003
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