The distribution and moments of the error term in the Dirichlet divisor problem

ArticleOriginal scientific text

Title

Authors ¹

F. V. Atkinson, A divisor problem, Quart. J. Math. Oxford Ser. 12 (1941), 193-200.
F. V. Atkinson, The mean-value of the Riemann zeta function, Acta Math. 81 (1949), 353-376.
H. Cramér, Über zwei Sätze von Herrn G. H. Hardy, Math. Z. 15 (1922), 201-210.
D. R. Heath-Brown, The mean value theorem for the Riemann zeta-function, Mathematika 25 (1978), 177-184.
D. R. Heath-Brown and M. N. Huxley, Exponential sums with a difference, Proc. London Math. Soc. (3) 61 (1990), 227-250.
A. Ivić, The Riemann Zeta-function, Wiley, New York 1985.
H. Iwaniec and C. J. Mozzochi, On the divisor and circle problems, J. Number Theory 29 (1988), 60-93.
K.-L. Kueh, The moments of infinite series, J. Reine Angew. Math. 385 (1988), 1-9.
E. C. Titchmarsh, The Theory of the Riemann Zeta-function, 2nd ed., Oxford Univ. Press, Oxford 1986.
K.-C. Tong, On divisor problems, III, Acta Math. Sinica 6 (1956), 515-541.
K.-M. Tsang, Higher power moments of Δ(x), E(t) and P(x), Proc. London Math. Soc. (3), to appear.
G. Voronoï, Sur une fonction transcendante et ses applications à la sommation de quelques séries, Ann. Sci. École Norm. Sup. (3) 21 (1904), 207-267 & 459-533.