Scattering on the p-adic Field and a Trace Formula

International Mathematics Research Notices

Volumn 2000, Issue 2, 2000, Pages

  Burnol, Jean François ^a,b  

^a Univ de Nice Sophia Antipolis ^*  (France)

^b UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346737817     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. [B] J. F. Burnol, The Explicit Formula and the conductor operator, preprint, available from http://arXiv.org/abs/math/9902080.
2. [C] A. Connes, Trace formula in non-commutative geometry and the zeros of the Riemann zeta function, Selecta Math (N.S.) 5 (1999), 29-106.
3. [LP1] P. D. Lax and R. S. Phillips, "The time delay operator and a related trace formula" in Topics in Functional Analysis, Adv. in Math Suppl. Stud. 3, Academic Press, New York, 1978, 197-215.
4. [LP2] _, Scattering Theory, Pure Appl. Math. 26, Academic Press, Boston, 1989.
5. [T] J. T. Tate, "Fourier analysis in number fields and Hecke's zeta-functions" in Algebraic Number Theory (Proc. Instructional Conf., Brighton, 1965),Thompson,Washington, D. C., 1967, 305-347.
6. [W] A. Weil, Sur les "formules explicites" de la théorie des nombres premiers, Comm. Sém. Math. Univ. Lund (1952), 252-265.