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#### Analytic and asymptotic properties of non-symmetric Linnik's probability densities

(Bilkent University, 1995)

We prove that the function
1
, a 6 (0 ,2 ), ^ e R,
1 +
is a characteristic function of a probability distribution if and only if
( a , 0 e P D = {{a,e) : a € (0,2), \d\ < m in (f^ , x - ^ ) (mod 27t)}.
This distribution ...

#### Isomorphic classification problem and linear topological invariants

(Bilkent University, 1995)

We consider all possible isomorphisms of cartesian products of Dragilev
spaces, and thanks to relations between the Dragilev functions of each factor
try to show that if there exists such an isomorphism, then any factor ...

#### Boundary conditions compatible with the generalized symmetries

(Bilkent University, 1995)

In this work evolution type integrable equations and systems are considered.
An efficient method is given to construct their boundary conditions and
hence boundary value problems which are compatible with the ...

#### Transformation properties of Painleve VI equation

(Bilkent University, 1995)

In this thesis, we studied the Schlesinger transformations of Painleve VI equation.
We showed that Painleve VI equation admits Schlesinger transformations
which relate a given solution of Paileve VI to solution of Painleve ...

#### On lower bounds of character sums

(Bilkent University, 1995)

111 ilii.s work wo oxlomlod llio ic.sult.s of S.A. Slc|)aiiov [3], [i] about lower
bouiid.s for incomplete clia.ra.cter .suiiks over a prime finite Held to the ea..se
of arbitrar}^ linite field Moreover we atso a.pplied ...