Additive number theory of symmetric matrices

  • 江上, 繁樹 (Principal Investigator)
  • 中井, 喜信 (Co-Investigator(Kenkyū-buntansha))

Project Details

Abstract

In 1998, Egami investigated multiple zeta functions and its generalizations , which are expected to give an elementary approach to Mitsui's problem. Nakai created the theory of cubic theta sums, which is expected to be a powerful tool for additive number theory. Both of the results were reported at a conference of number theory held at Kyoto in Octorber.
StatusFinished
Effective start/end date1997/01/01 → 1998/12/31

Funding

  • Japan Society for the Promotion of Science: ¥1,300,000.00

Keywords

  • 加法的整数論
  • 保型形式のスペクトル理論
  • 三角和
  • 多重ゼータ関数
  • 加法的数論
  • ワイル和
  • Dirichlet級数
  • 分割問題
  • 保型形式
  • スペクトル分解
  • エルゴード理論
  • additive number theory
  • spectral theory of automorphic forms
  • trigonometric sums
  • multiple zeta function

Access Project