Gülmez Temür, Burcu

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https://hdl.handle.net/20.500.14411/6804
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Gülmez Temür,B.
Gülmez Temür, Burcu
Gulmez Temur,B.
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Gülmez Temür B.
G. T. Burcu
Burcu Gülmez Temür
Temur B.
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Gulmez Temur,Burcu
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Gulmez Temur, Burcu
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Burcu, Gulmez Temur
Burcu, Gülmez Temür
G.,Burcu
Temur, Burcu Gulmez
Temür, Burcu Gülmez
Temur, Burcu Guelmez
Job Title
Profesör Doktor
Email Address
burcu.temur@atilim.edu.tr
Main Affiliation
Mathematics
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Website
ORCID ID
0000-0002-0435-6894
Scopus Author ID
22136765100
Turkish CoHE Profile ID
D9F6F60C2CCB394E
Google Scholar ID
WoS Researcher ID
ABF-4807-2021

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13

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62

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14

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58

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16

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14

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22/76

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1

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0

WoS Citation Count

54

Scopus Citation Count

58

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0

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0

WoS Citations per Publication

3.38

Scopus Citations per Publication

3.63

Open Access Source

7

Supervised Theses

1

JournalCount
Turkish Journal of Mathematics3
Cryptography and Communications2
Designs, Codes and Cryptography2
Communications in Algebra1
Finite Fields and Their Applications1
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Subject: Curves with many points over finite fields

Scholarly Output Search Results

Now showing 1 - 3 of 3
  • Thumbnail Image
    Article
    Citation - WoS: 6
    Citation - Scopus: 5
    Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields
    (Springer, 2014) Ozbudak, Ferruh; Temur, Burcu Gulmez; Gülmez Temür, Burcu
    We study fibre products of a finite number of Kummer covers of the projective line over finite fields. We determine the number of rational points of the fibre product over a rational point of the projective line, which improves the results of Ozbudak and Temur (Appl Algebra Eng Commun Comput 18:433-443, 2007) substantially. We also construct explicit examples of fibre products of Kummer covers with many rational points, including a record and two new entries for the current table (http://www.manypoints.org, 2011).
  • Thumbnail Image
    Article
    Citation - WoS: 1
    An exhaustive computer search for finding new curves with many points among fibre products of two Kummer covers over F5 and F7
    (Tubitak Scientific & Technological Research Council Turkey, 2013) Ozbudak, Ferruh; Temur, Burcu Gulmez; Yayla, Oguz; Gülmez Temür, Burcu
    In this paper we make an exhaustive computer search for finding new curves with many points among fibre products of 2 Kummer covers of the projective line over F-5 and F-7. At the end of the search, we have 12 records and 6 new entries for the current Table of Curves with Many Points. In particular, we observe that the fibre product y(1)(3)= 5(x + 2)(x + 5)/x, y(2)(3)= 3x(2()x + 5)/x + 3 over F-7 has genus 7 with 36 rational points. As this coincides with the Ihara bound, we conclude that the maximum number N-7(7) of F-7-rational points among all curves of genus 7 is 36. Our exhaustive search has been possible because of the methods given in the recent work by Ozbudak and Temur (2012) for determining the number of rational points of such curves.
  • Thumbnail Image
    Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Further Results on Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields
    (Amer inst Mathematical Sciences-aims, 2016) Ozbudak, Ferruh; Temur, Burcu Gulmez; Yayla, Oguz
    We study fibre products of an arbitrary number of Kummer covers of the projective line over F-q under suitable weak assumptions. If q - 1 = r(n) for some prime r, then we completely determine the number of rational points over a rational point of the projective line. Using this result we obtain explicit examples of fibre products of three Kummer covers supplying new entries for the current table of curves with many points (http://www.manypoints.org,October 31 2015).