ZERO-DENSITY ESTIMATES FOR EPSTEIN ZETA FUNCTIONS OF CLASS NUMBERS 2 OR 3
ZERO-DENSITY ESTIMATES FOR EPSTEIN ZETA FUNCTIONS OF CLASS NUMBERS 2 OR 3
We investigate the zeros of Epstein zeta functions associated with positive definite quadratic forms with rational coefficients in the vertical strip <TEX>${\sigma}_1$</TEX> < <TEX>${\Re}s$</TEX> < <TEX>${\sigma}_2$</TEX>, where 1/2 < <TEX>${\sigma}_1$</TEX> < <TEX>${\sigma}_2$</TEX> < 1. When the class number h of the quadratic form is bigger than 1, Voronin gave a …