eprintid: 20926
rev_number: 18
eprint_status: archive
userid: 2560
dir: disk0/00/02/09/26
datestamp: 2016-06-17 07:44:41
lastmod: 2016-06-20 07:07:20
status_changed: 2016-06-17 07:44:41
type: doctoralThesis
metadata_visibility: show
creators_name: Qiu, Yujia
title: On the zero Distribution of Special Values of Goss zeta Functions
subjects: ddc-510
divisions: i-708000
adv_faculty: af-11
abstract: 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
id_scheme: DOI
id_number: 10.11588/heidok.00020926
ppn_swb: 1657238962
own_urn: urn:nbn:de:bsz:16-heidok-209263
date_accepted: 2016-06-10
advisor: HASH(0x55fc36c6ee80)
language: eng
bibsort: QIUYUJIAONTHEZEROD2016
full_text_status: public
citation:   Qiu, Yujia  (2016) On the zero Distribution of Special Values of Goss zeta Functions.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/20926/1/Qiu-thesis.pdf