ON THE SIEGEL-TATUZAWA THEOREM FOR A CLASS OF L-FUNCTIONS

スポンサーリンク

概要

• 論文の詳細を見る

• We consider an effective lower bound of the Siegel-Tatuzawa type for general $ L $-functions with three standard assumptions. We further assume three hypotheses in this paper that are essential in developing our argument.Under these assumptions and hypotheses, we prove a theorem of Siegel-Tatuzawa type for general $ L $-functions. In particular, we prove such a theorem for symmetric power $ L $-functions under certain assumptions.

• 九州大学の論文

著者

• MATSUMOTO Kohji

  Graduate School of Mathematics, Nagoya University

• Matsumoto Kohji

  Graduate School Of Mathematics

• ICHIHARA Yumiko

  Graduate School of Information Engineering Hiroshima University

関連論文

• On $L$-functions over function fields : Power-means of error-terms and distribution of $L^\prime/L$-values (Algebraic Number Theory and Related Topics 2008)
• On Witten multiple zeta-functions associated with semisimple Lie algebras II
• The joint universality and the functional independence for Lerch zeta-functions
• ON THE SIEGEL-TATUZAWA THEOREM FOR A CLASS OF L-FUNCTIONS
• On Witten multiple zeta-functions associated with semisimple Lie algebras II
• A survey on the theory of multiple Bernoulli polynomials and multiple $L$-functions of root systems (Infinite Analysis 2010 Developments in Quantum Integrable Systems)
• The joint universality of twisted automorphic L-functions

スポンサーリンク