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On Calculations of Zeros of Various L-functions

Hiroyuki Yoshida
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Abstract

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.

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Hiroyuki Yoshida. 1994-11-09. On Calculations of Zeros of Various L-functions. https://arxiv.org/abs/math/9411213

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