Search for dissertations about: "geometry of polynomials."
Showing result 1 - 5 of 26 swedish dissertations containing the words geometry of polynomials..
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1. Waring-type problems for polynomials : Algebra meets Geometry
Abstract : In the present thesis we analyze different types of additive decompositions of homogeneous polynomials. These problems are usually called Waring-type problems and their story go back to the mid-19th century and, recently, they received the attention of a large community of mathematicians and engineers due to several applications. READ MORE
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2. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials
Abstract : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. READ MORE
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3. Vector-valued Eisenstein series of congruence types and their products
Abstract : Historically, Kohnen and Zagier connected modular forms with period polynomials, and as a consequence of this association concluded that the products of at most two Eisenstein series span all spaces of classical modular forms of level 1. Later Borisov and Gunnells among other authors extended the result to higher levels. READ MORE
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4. The density of rational points and invariants of genus one curves
Abstract : The present thesis contains three papers dealing with two arithmetic problems on curves of genus one, which are closely related to elliptic curves. The first problem is to study the density of rational points presented in Papers I and II. READ MORE
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5. Dualities, affine vertex operator algebras, and geometry of complex polynomials
Abstract : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. READ MORE