×

zbMATH — the first resource for mathematics

On the method of exponent pairs. (English) Zbl 0571.10036
This is a refinement of the author’s earlier paper in [Topics in classical number theory, Vol. II, Colloq. Math. Soc. János Bolyai 34, 907-926 (1984; Zbl 0552.10022)]. The following important consequences of the new results are mentioned \[ \zeta (+it)\leq t^{139/858+\epsilon},\quad \Delta (R)\leq R^{139/429+\epsilon}. \]
Reviewer: A.Balog

MSC:
11L40 Estimates on character sums
11M06 \(\zeta (s)\) and \(L(s, \chi)\)
11N45 Asymptotic results on counting functions for algebraic and topological structures
PDF BibTeX XML Cite
Full Text: DOI EuDML