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Browsing Boğaziçi Üniversitesi Tezleri by Subject "Number theory."

Browsing Boğaziçi Üniversitesi Tezleri by Subject "Number theory."

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  • ABC conjecture and its implications 
    Koç, Tuğçe. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    In this thesis, our aim is to state the importance of abc conjecture and prove the strong results we obtain with the help of abc conjecture. First, we give necessary notions and tools which are used throughout the thesis. ...
  • Average values of the functional equation factors at the zeros of derivatives of dirichlet L-functions 
    Elma, Ertan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In this work, average values of the functional equation factors of Riemann Zeta function and Dirichlet L-functions at the zeros of derivatives of Dirichlet L-functions are calculated.
  • Class number one problem 
    Kır, Harun. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    In 1801, Gauss conjectured that there are exactly nine imaginary quadratic number fields with class number one, namely: Q(√−1), Q(√−2), Q(√−3), Q(√−7), Q(√−11), Q(√−19), Q(√−43), Q(√−67) and Q(√−163). This conjecture is ...
  • Different versions of the modularity theorem 
    Bildik, İlkiz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    One of the most interesting results in number theory is the proof of the Modu larity Theorem. The Modularity Theorem has many different versions. The geometric version states that there is a surjective morphism between ...
  • Langlands reciprocity principle for GL(n) 
    Barbaros, Bahri Fatih. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021., 2021.)
    Langlands program is one of the most significant areas of research in modern mathematics as it asserts a connection between number theory, representation the ory and automorphic forms. Langlands program is basically a study ...
  • Vertical distribution problems in Zeta-Function theory 
    Karabulut, Yunus. (Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In this thesis, we focus on the vertical distribution problems of the zeros of the Riemann zeta-function and other related functions. In the rst half of our study we modify Montgomery's argument [1] in such a way that we ...

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