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- W2893249116 abstract "The Hlawka Zeta Function is a Dirichlet series defined geometrically which provides an integral representation of the number of lattice points contained in the dilation $tD$ for some star shaped region $Dsubset mathbb{R}^{2}$ and some real number $tin mathbb{R}^{+}$. We give an overview of this construction and integral representation before giving the Hlawka Zeta function as a sum of Eisenstein Series acting on $K$-finite vectors multiplied by Fourier coefficients depending on $D$. We then study the case of $D$ as an circle, ellipse, and then square to study functional equations and fibers of this object, and pose conjectures regarding these properties in general." @default.
- W2893249116 created "2018-10-05" @default.
- W2893249116 creator A5014183016 @default.
- W2893249116 date "2018-09-30" @default.
- W2893249116 modified "2023-09-27" @default.
- W2893249116 title "The Hlawka Zeta Function as a Respectable Object" @default.
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- W2893249116 hasPublicationYear "2018" @default.
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