Open AccessSome elementary zero-free regions for Dirichlet series and power series
Author(s) -
Nicolae Ciprian Bonciocat,
Alexandru Zaharescu
Publication year - 2005
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2005.09.05
Subject(s) - general dirichlet series , series (stratigraphy) , dirichlet series , zero (linguistics) , mathematics , power series , dirichlet eta function , dirichlet distribution , mathematical analysis , philosophy , paleontology , linguistics , biology , boundary value problem
Adapting some elementary methods used by a number of authors to investigate the location of roots of polynomials with complex coefficients, we present some results which provide zero-free regions for Dirichlet series and power series.