Differential transcendence of a class of generalized Dirichlet series

Masaaki Amou, Masanori Katsurada

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We investigate differential transcendence properties for a generalized Dirichlet series of the form ∑n=0 anλ-sn. Our treatment of this series is purely algebraic and does not rely on any analytic properties of generalized Dirichlet series. We establish differential transcendence theorems for a certain class of generalized Dirichlet series. These results imply that the Hurwits zeta-function ζ(s, a) does not satisfy an algebraic differential equation with complex coefficients.

本文言語English
ページ(範囲)939-948
ページ数10
ジャーナルIllinois Journal of Mathematics
45
3
DOI
出版ステータスPublished - 2001
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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