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ON ZETA FUNCTIONS OF MODULAR REPRESENTATIONS OF A DISCRETE GROUP

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概要 It is proved that the generating function defined by the numbers of isomorphism classes of absolutely irreducible representations of a finitely generated group $ G $ into $ GL_d (F_q^n ) $ for various... $ n geq 1 $ is a rational function. It is also proved that the generating function defined by weighted sums over isomorphism classes of representations of $ G $ into $ GL_d (F_q^n ) $ for various $ n geq 1 $ is meromorphic over both the complex numbers and the $ p $-adic complex numbers.続きを見る

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登録日 2009.04.22
更新日 2018.02.21