MEROMORPHIC EXTENSIONS OF A CLASS OF ZETA FUNCTIONS FOR TWO-DIMENSIONAL BILLIARDS WITHOUT ECLIPSE

• MORITA TAKEHIKO

  Department of Mathematics, Graduate School of Science, Hiroshima University

抄録

The main purpose of the present paper is to show that a class of dynamical zeta functions associated with the so-called two-dimensional open billiard without eclipse have meromorphic extensions to the half-plane consisting of all complex numbers whose real parts are greater than a certain negative number. As an application, we verify that the zeta function for the length spectrum of the corresponding billiard table has the same property.

収録刊行物

• Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ

  Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ 59 (2), 167-202, 2007

  東北大学大学院理学研究科数学専攻

キーワード

• Dynamical zeta functions
• thermodynamic formalism
• dispersing billiards without eclipse

詳細情報

• CRID: 1390001205115717632
• NII論文ID: 110006276419
• NII書誌ID: AA00863953
• DOI: 10.2748/tmj/1182180733
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2347420
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可