THE DISTRIBUTION OF THE HILBERT MODULAR TYPE CUSP FORMS OF WEIGHT TWO AND ITS STATISTICAL MODEL

• Ishikawa Hirofumi

  College of Liberal Arts and Sciences, Okayama University

Abstract

In this paper we give a distribution of the Hilbert modular type cusp forms over real quadratic number fields, which are closely connected with the Euler number of the Hilbert modular surface, using the trace formula proved by the author. We consider the statistical model for the increasing trend of the dimensions, and analyze their distribution through it.

Journal

• Journal of the Japanese Society of Computational Statistics

  Journal of the Japanese Society of Computational Statistics 1 (1), 69-78, 1988-12

  Japanese Society of Computational Statistics

Keywords

• Cusp form
• Distribution of dimensions
• Hilbert modular
• Real quadratic field
• Statistical model

Details

• CRID: 1571980076837894528
• NII Article ID: 110001235547
• NII Book ID: AA10823693
• ISSN: 09152350
• Text Lang: en
• Data Source:
  • CiNii Articles