• Title of article

    Selberg Zeta Functions over Function Fields Original Research Article

  • Author/Authors

    Hirofumi Nagoshi، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    32
  • From page
    207
  • To page
    238
  • Abstract
    We compute explicitly the Selberg trace formula for principal congruence subgroups of PGL(2, imageq[t]) which is the modular group in positive characteristic cases. We also express the Selberg zeta function as a determinant of the Laplacian which is composed of both discrete and continuous spectra. All factors are calculated explicitly, and they are rational functions in q−s.
  • Keywords
    Selberg trace formula , Ramanujan graph diagram. , function field , Ihara Selberg zeta function
  • Journal title
    Journal of Number Theory
  • Serial Year
    2001
  • Journal title
    Journal of Number Theory
  • Record number

    715238