Large values of some zeta-functions near the line $\sigma = 1.$

Aleksandar Ivić (1)

1 Katedra Matematike

Large values estimates of $|\zeta(\sigma + it)|$ over a set of well-spaced points are obtained, when $\sigma$ is close to the line $\sigma = 1$. Analogous results are obtained for zeta-functions of cusp forms and the Dedekind zeta-funciton.

Mots clés: zeta-functions of cusp forms; Riemann zeta-function; Fourier coefficients; the Dedekind zeta-function; large values

Domaines: Mathématiques [math]

Aleksandar Ivić. Large values of some zeta-functions near the line $\sigma = 1.$. Hardy-Ramanujan Journal, 1988, Volume 11 - 1988, pp.13 - 29. ⟨10.46298/hrj.1988.104⟩. ⟨hal-01104309⟩