Two open problems for absolutely convergent Dirichlet series

Author O. B. Skaskiv, O. Yu. Zadorozhna
matstud@franko.lviv.ua, olzadorozhna@gmail.com
Ivan Franko National University of L’viv

Abstract For the absolutely convergent in a half-plane Dirichlet series we establish upper estimates without exceptional sets.
Keywords analytic function; Dirichlet series; maximal term
Reference 1. Filevych P.V. To the Sheremeta theorem concerning relations between the maximal term and the maximum modulus of entire Dirichlet series// Mat. Stud. – 2000. – V.13, Ή2. – P. 139–144.

 2. Salo T., Skasiv O. On the maximum modulus and maximal term absolute convergent Dirichlet series// Mat. Visn. Nauk. Tov. Im. Shevchenka. - 2007. - V.4. - P. 264–274. (in Ukrainian)

 3. Skaskiv O.B. On Wiman’s theorem concerning the minimum modulus of a function analytic in the unit disk// Izv. Akad. Nauk SSSR. – 1989. – V.53, Ή4. – P. 833–850. (in Russian) English translated in Math USSR, Izv. – 1990. – V.35, .1. – P. 165–182.

 4. Skaskiv O.B., Bodnar R.D. The speed of convergence of the Dirichlet series// Visn. L’viv. Univ., ser. mekh.-math. – 1998. – V.49. – P. 71–74. (in Ukrainian)

 5. Sheremeta M.M. Entire Dirichlet series. – Eyiv: ISDO, 1993. – 168p. (in Ukrainian)
Pages 106-112
Volume 38
Issue 1
Year 2012
Journal Matematychni Studii
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