The theorems of asymptotic equality of logarithms of a sum and maximum term of positive Taylor-Dirichlet series and multiple Dirichlet series are proved.
[1] Skaskiv O.B., Trusevich O.M. On the complete equivalence of logarithms of the sum and the maximum term of a positive series of Taylor-Dirichlet type // Visnyk Lviv. un-tu, ser. mech-mat. - 1999. - Issue 54. - P.175-179.
[2] Sheremeta M.M. Complete Dirichlet series. - K.: ISDO, 1993. - 168 p.
[3] Sheremeta M.N. Analogues of Wiman's theorem for Dirichlet series// Mat. collected. - 1979. - 110, N 1. - P.102-116.
[4] Sheremeta M.N. On the relations between the maximal term and the maximum modulus of an entire Dirichlet series// Mat. notes. - 1992. - 51, N 5. - P.141-148.
[5] Skaskiv O.B., Lutsishyn M.R. On the minimum modulus of a multiple Dirichlet series/ / Ukr. Mat. Zh. - 1992. - 44,N 9. - P.1296-1298.
- ACS Style
- Orishchyn , O.G.; Skaskiv, O.B.; Trusevych , O.M. On the complete equivalence of the logarithms of the sum and the maximum term of Taylor-Dirichlet series. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Orishchyn OG, Skaskiv OB, Trusevych OM. On the complete equivalence of the logarithms of the sum and the maximum term of Taylor-Dirichlet series. Bukovinian Mathematical Journal. 2018; 1(160).
- Chicago/Turabian Style
- Oksana Gryhorivna Orishchyn , Oleg Bogdanovich Skaskiv, Oksana Myroslavivna Trusevych . 2018. "On the complete equivalence of the logarithms of the sum and the maximum term of Taylor-Dirichlet series". Bukovinian Mathematical Journal. 1 no. 160.