Local Riemann hypothesis for complex numbers
2009 (English)In: International Journal of Number Theory, ISSN 1793-0421, Vol. 5, no 7, 1221-1230 p.Article in journal (Refereed) Published
In this paper, a special class of local zeta-functions is studied. The main theorem states that the functions have all zeros on the line R(s) = 1/2. This is a natural generalization of the result of Bump and Ng stating that the zeros of the Mellin transform of Hermite functions have R(s) = 1/2.
Place, publisher, year, edition, pages
2009. Vol. 5, no 7, 1221-1230 p.
Local Tate zeta-function, Weil representation, Mellin transform, orthogonal polynomials, Riemann hypothesis
IdentifiersURN: urn:nbn:se:kth:diva-24328DOI: 10.1142/S1793042109002651ISI: 000272094400006OAI: oai:DiVA.org:kth-24328DiVA: diva2:346574
QC 201009012010-09-012010-09-012010-09-02Bibliographically approved