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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
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