On Calculations of Zeros of Various L-functions
Abstract
Description
As we have shown several years ago [Y2], zeros of $L(s, Δ)$ and $L^(2)(s, Δ)$ can be calculated quite efficiently by a certain experimental method. Here $Δ$ denotes the cusp form of weight 12 with respect to SL$(2, Z)$ and $L(s, Δ)$ (resp. $L^(2)(s, Δ)$) denotes the standard (resp. symmetric square) $L$-function attached to $Δ$. The purpose of this paper is to show that this method can be applied to a wide class of $L$-functions so that we can obtain precise numerical values of their zeros.