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Approximation of the Lerch Zeta-Function

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Abstract

We consider uniform in parameters approximations of the Lerch zeta-function by Dirichlet polynomials. It allows us to obtain uniform in parameters bounds in the critical strip.

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REFERENCES

  1. R. Garunkštis, The effective universality theorem for the Riemann zeta-function, in: Proceedings of the Session in Analytic Number Theory and Diophantine Equations, MPI-Bonn, January–June 2002, D. R. Heath-Brown, B. Z. Moroz (Eds.), Bonner mathematische Schriften, 360 (2003), p. 21.

  2. A. Laurinčikas and R. Garunkštis, The Lerch Zeta-Function, Kluwer, Dordrecht (2002).

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  3. A. Ivić, The Riemann Zeta-Function, Wiley, New York (1985).

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  1. Vilnius University, Naugarduko 24, LT-03225, Vilnius, Lithuania

    A. Garunkštis

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  1. A. Garunkštis
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Garunkštis, A. Approximation of the Lerch Zeta-Function. Lithuanian Mathematical Journal 44, 140–144 (2004). https://doi.org/10.1023/B:LIMA.0000033779.41365.a5

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  • DOI: https://doi.org/10.1023/B:LIMA.0000033779.41365.a5

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