Number of rational places of subfields of the function field of the Deligne-Lusztig curve of Ree type

Cakcak, E
Özbudak, Ferruh


Low-discrepancy sequences using duality and global function fields
Niederreiter, Harald; Özbudak, Ferruh (Institute of Mathematics, Polish Academy of Sciences, 2007-01-01)
The Taylor spectrum and transversality for a Heisenberg algebra of operators
Dosi, A. A. (IOP Publishing, 2010-03-01)
A problem on noncommutative holomorphic functional calculus is considered for a Banach module over a finite-dimensional nilpotent Lie algebra. As the main result, the transversality property of algebras of noncommutative holomorphic functions with respect to the Taylor spectrum is established for a family of bounded linear operators generating a Heisenberg algebra.
Özbudak, Ferruh (Informa UK Limited, 2014-09-02)
Let F-q be an arbitrary finite field of characteristic 2 and k be an arbitrary even integer. We count the number of quadratic forms having codimension 2 radicals on F-q(k) over F-q such that the corresponding curve is maximal or minimal. This problem is first attempted in [3], in which the number of maximal curves is obtained only for (q, k) = (2, 6) and (q, k) = (2, 8).
The distributive hull of a ring
Erdoğdu, Vahap (Elsevier BV, 1990-8)
Let R be a commutative ring with identity. An extension MS N of R-modules is said to be distributive if it satisfies the following condition: Mn(X+ Y)=(MnX)+(Mn Y), for all submodules X, Y of N. In [2], Davison has shown that every R-module M which is locally non- zero at every maximal ideal of R has a maximal distributive extension and has raised the question: Is this unique up to M-isomorphism, in which case one can denote it by D(M) and call it the distributive hull of M [l, 51. In this paper we answer t...
A generic identification theorem for L*-groups of finite Morley rank
Berkman, Ayse; Borovik, Alexandre V.; Burdges, Jeffrey; Cherfin, Gregory (Elsevier BV, 2008-01-01)
This paper provides a method for identifying "sufficiently rich" simple groups of finite Morley rank with simple algebraic groups over algebraically closed fields. Special attention is given to the even type case, and the paper contains a number of structural results about simple groups of finite Morley rank and even type.
Citation Formats
E. Cakcak and F. Özbudak, “Number of rational places of subfields of the function field of the Deligne-Lusztig curve of Ree type,” ACTA ARITHMETICA, pp. 79–106, 2005, Accessed: 00, 2020. [Online]. Available: