In this thesis we investigate two different lattice point problems in the hyperbolic plane, the classical hyperbolic lattice point problem and the hyperbolic lattice point problem in conjugacy classes. In order to study these problems we use tools from the harmonic analysis on the hyperbolic plane H
In the first part of this research we find an improvement to Huxley and Konyagin's current lower bou...
We study colorings of the hyperbolic plane, analogously to the Hadwiger-Nelson problem for the Eucli...
Paul Gunther (1966), proved the following result: Given a continuous function f on a compact surface...
AbstractHuber (1956) [8] considered the following problem on the hyperbolic plane H. Consider a stri...
Elstrodt J, Grunewald F, Mennicke J. Arithmetic Applications of the Hyperbolic Lattice Point Theorem...
We establish effective counting results for lattice points in families of domains in real, complex a...
In this work we study a modification of the hyperbolic circle problem, which is one of the problems...
We use spectral analysis to give an asymptotic formula for the number of matrices in SL(n, Z) of hei...
For Γ a cocompact or cofinite Fuchsian group, we study the hyperbolic lattice point problem in conju...
We consider the lattice point problem corresponding to a family of elliptic paraboloids in Rd with d...
The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hyperbolic d...
Paul Gunther (1966), proved the following result: Given a continuous function f on a compact surface...
Abstract. The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hy...
Latex 25 pages, 10 figuresA quadratic point on a surface in $RP^3$ is a point at which the surface c...
Let $X(D,1) =\Gamma(D,1) \backslash \mathbb{H}$ denote the Shimura curve of level $N=1$ arising from...
In the first part of this research we find an improvement to Huxley and Konyagin's current lower bou...
We study colorings of the hyperbolic plane, analogously to the Hadwiger-Nelson problem for the Eucli...
Paul Gunther (1966), proved the following result: Given a continuous function f on a compact surface...
AbstractHuber (1956) [8] considered the following problem on the hyperbolic plane H. Consider a stri...
Elstrodt J, Grunewald F, Mennicke J. Arithmetic Applications of the Hyperbolic Lattice Point Theorem...
We establish effective counting results for lattice points in families of domains in real, complex a...
In this work we study a modification of the hyperbolic circle problem, which is one of the problems...
We use spectral analysis to give an asymptotic formula for the number of matrices in SL(n, Z) of hei...
For Γ a cocompact or cofinite Fuchsian group, we study the hyperbolic lattice point problem in conju...
We consider the lattice point problem corresponding to a family of elliptic paraboloids in Rd with d...
The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hyperbolic d...
Paul Gunther (1966), proved the following result: Given a continuous function f on a compact surface...
Abstract. The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hy...
Latex 25 pages, 10 figuresA quadratic point on a surface in $RP^3$ is a point at which the surface c...
Let $X(D,1) =\Gamma(D,1) \backslash \mathbb{H}$ denote the Shimura curve of level $N=1$ arising from...
In the first part of this research we find an improvement to Huxley and Konyagin's current lower bou...
We study colorings of the hyperbolic plane, analogously to the Hadwiger-Nelson problem for the Eucli...
Paul Gunther (1966), proved the following result: Given a continuous function f on a compact surface...