Open AccessOn zeros of some composite functions
Author(s) -
Jovita Rašytė
Publication year - 2011
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2011.al04
Subject(s) - riemann zeta function , mathematics , function (biology) , riemann hypothesis , sigma , particular values of riemann zeta function , prime zeta function , arithmetic zeta function , pure mathematics , mathematical physics , mathematical analysis , physics , quantum mechanics , evolutionary biology , biology
We obtain an estimate of the number of zeros for the function F(zeta(s + i mh)), where zeta(s) is the Riemann zeta-function, and F : H(D)–> H(D) is a continuous function, D = {s C: 1/2 < sigma < 1}.