title: On the zero Distribution of Special Values of Goss zeta Functions
creator: Qiu, Yujia
subject: ddc-510
subject: 510 Mathematics
description: In this dissertation we deal with the distribution of zeros of special values of Goss zeta functions. Firstly, we prove an analogue of Riemann hypothesis for curves defined over prime field of arbitrary genus as well as for curves defined over \F_q with q\neq p whose genus is bounded by (p+q)/2. Secondly, we prove some results on partial zeta functions. Thirdly, we apply the cohomological method to a specified curve and prove an analogue of Riemann hypothesis for certain n. Finally, we set up a relation between the \infty-adic and v-adic zeta functions.
date: 2016
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/20926/1/Qiu-thesis.pdf
identifier: DOI:10.11588/heidok.00020926
identifier: urn:nbn:de:bsz:16-heidok-209263
identifier:   Qiu, Yujia  (2016) On the zero Distribution of Special Values of Goss zeta Functions.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/20926/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng