Kauf- man, Estimate of the Hecke L-functions on the half line (Zap

In this section we shall discuss the analytic behaviour of the function Z 1 (s) (see (1.3)), obtain its analytic continuation to the half-plane σ > −3/4, and derive pointwise

Lappan, Criteria for an analytic function to be Bloch and a har- monic or meromorphic function to be normal, Complex Analysis and its Applica- tions (Harlow), Pitman Research Notes

In the next two sections, we discuss how we can deduce the explicit estimates (Corollaries 1 and 2) from the above theorem, in the case of Dedekind zeta-functions.. Now we prove

Meanwhile a subsequent paper The mean square of the Riemann zeta-function in the critical strip III was published in Acta Arith.. 64

But the proof of Theorem 2 requires the following ideas: the averaging technique introduced in Meurman [12]; the application of Montgomery–Vaughan’s inequality as Preissmann [17]

Borel proved that almost every number (in the sense of Lebesgue measure) is normal to base q.. 1991 Mathematics Subject Classification:

The research described in this publication was made possible in part by Grant No LI 2100 from the Joint Fund Program of Lithuanian Government and International Science

Bagchi [1] proved such a limit theorem in the space of meromorphic functions with the topology of uniform convergence on com- pacta, and the first author of this article obtained