| dc.contributor.advisor |
Đanković, Goran |
|
| dc.contributor.author |
Lelas, Nikola |
|
| dc.date.accessioned |
2023-01-19T13:54:32Z |
|
| dc.date.available |
2023-01-19T13:54:32Z |
|
| dc.date.issued |
2022-11 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/5532 |
|
| dc.description.abstract |
The subject of the dissertation is the problem of simultaneous nonvanishing
of quadratic twists of elliptic curve 𝐿-functions and quadratic Dirichlet 𝐿-functions (and
their derivatives) at the centar point 𝑠 =
1
2
, in the situation when these objects are
defined over the rational function field over finite field F𝑞.
For each monic polynomial 𝐷 ∈ F𝑞 [𝑡], there is a corresponding quadratic Dirichlet
character 𝜒𝐷. Associated to such character, there is the corresponding Dirichlet 𝐿-
function 𝐿(𝑠, 𝜒𝐷), as well as the quadratic twist 𝐸 ⊗ 𝜒𝐷 of a fixed elliptic curve 𝐸/F𝑞 (𝑡),
whose 𝐿-function is denoted by 𝐿(𝑠, 𝐸 ⊗ 𝜒𝐷).
A lower bound for the number of polynomials 𝐷 ∈ H∗
2𝑔+1
such that 𝐿 |
en_US |
| dc.description.provenance |
Submitted by Slavisha Milisavljevic (slavisha) on 2023-01-19T13:54:32Z
No. of bitstreams: 1
Disertacija_nikola_lelas.pdf: 2523829 bytes, checksum: 9513800111b28a1600a02994d3a044c0 (MD5) |
en |
| dc.description.provenance |
Made available in DSpace on 2023-01-19T13:54:32Z (GMT). No. of bitstreams: 1
Disertacija_nikola_lelas.pdf: 2523829 bytes, checksum: 9513800111b28a1600a02994d3a044c0 (MD5)
Previous issue date: 2022-11 |
en |
| dc.language.iso |
sr |
en_US |
| dc.publisher |
Beograd |
en_US |
| dc.title |
ISTOVREMENO NEANULIRANJE L-FUNKCIJA KVADRATNIH TVISTOVA ELIPTIČKE KRIVE I KVADRATNIH DIRIHLEOVIH L-FUNKCIJA NAD FUNKCIJSKIM POLJIMA |
en_US |
| mf.author.birth-date |
1991-11-03 |
|
| mf.author.birth-place |
Beograd |
en_US |
| mf.author.birth-country |
Srbija |
en_US |
| mf.author.residence-state |
Srbija |
en_US |
| mf.author.citizenship |
Srpsko |
en_US |
| mf.author.nationality |
Srbin |
en_US |
| mf.subject.area |
Mathematics |
en_US |
| mf.subject.keywords |
Quadratic Dirichlet 𝐿���-functions, Elliptic curves, Quadratic twists of elliptic curves, Rational function fields, Derivatives of 𝐿���-functions, Nonvanishing of 𝐿���-functions, Mixed moments of 𝐿���-functions. |
en_US |
| mf.subject.subarea |
Number theory |
en_US |
| mf.subject.msc |
11M38, 11G20, 11H52, 11R58. |
|
| mf.contributor.committee |
Lipkovski, Aleksandar |
|
| mf.contributor.committee |
Đanković, Goran |
|
| mf.contributor.committee |
Radovanović, Marko |
|
| mf.contributor.committee |
Stankov, Dragan |
|
| mf.university.faculty |
Mathematical Faculty |
en_US |
| mf.document.references |
100 |
en_US |
| mf.document.pages |
112 |
en_US |
| mf.document.location |
Belgrade |
en_US |
| mf.document.genealogy-project |
No |
en_US |
| mf.university |
Belgrade |
en_US |