2021-12-09T05:09:11Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000282552021-03-01T10:16:56ZOn the density function for the value-distribution of automorphic L-functionsMatsumoto, Kohji92175Umegaki, Yumiko92176Automorphic L-functionValue-distributionDensity functionThe Bohr–Jessen limit theorem is a probabilistic limit theorem on the value-distribution of the Riemann zeta-function in the critical strip. Moreover their limit measure can be written as an integral involving a certain density function. The existence of the limit measure is now known for a quite general class of zeta-functions, but the integral expression has been proved only for some special cases (such as Dedekind zeta-functions). In this paper we give an alternative proof of the existence of the limit measure for a general setting, and then prove the integral expression, with an explicitly constructed density function, for the case of automorphic L-functions attached to primitive forms with respect to congruence subgroups Γ0(N).ファイル公開：2021-05-01journal articleElsevier2019-05application/pdfJournal of Number Theory1981761990022-314Xhttps://nagoya.repo.nii.ac.jp/record/28255/files/Matsumoto-Umegaki-revised.pdfenghttps://doi.org/10.1016/j.jnt.2018.10.008© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/