Power sums of length multiplicities for Riemann surfaces橋本, 康史 Power sums of length multiplicities for Riemann surfaces. In: 表現論シンポジウム, 2006/11/1416.
14 November 2006: 表現論シンポジウム AbstractThe aim of the present papaer is to study the distributions of power sums of the length multiplicities for Riemann surfaces. In Theorem 2.1, we give upper bounds of the square sums for general (not necessarily compact) cases. Furthermore in Theorem 2.2, we obtain the precise estimates of higher power sums for arithmetic surfaces whose fundamental groups are congruence subgroups of the modular group.
