This article is cited in 8 papers

Regularly Increasing Entire Dirichlet Series

P. V. Filevich, M. N. Sheremeta

Ivan Franko National University of L'viv

Abstract: For entire Dirichlet series, we establish conditions on its coefficients and exponents under which the logarithms of the maximal term and of the maximum of the modulus are regularly varying functions of order $\rho\in[1,+\infty)$ and the central exponent is a regularly varying function of order $\rho-1$.

UDC: 517.53

Received: 20.06.2001

DOI: 10.4213/mzm243

 English version: Mathematical Notes, 2003, 74:1, 110–122

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