Essays about: "Weierstrass function"

Found 3 essays containing the words Weierstrass function.

1. 1. The Existence of Meromorphic Functions with Prescribed Poles and Principal Parts

   University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Author : Peicen Liu; [2020]
   Keywords : The Mittag-Leffler Theorem; Meromorphic Function; Complex Analysis; The Mittag-Leffler Star; Mathematics and Statistics;

   Abstract : The Swedish mathematician Gösta Mittag-Leffler (1846-1927) is well-known for founding Acta Mathematica, the famous international mathematical journal. His mathematical contributions are connected chiefly with complex analysis. READ MORE

3. 2. Algebraic Curves over Finite Fields

   University essay from Matematiska institutionen

   Author : Carmen Rovi; [2010]
   Keywords : Nullstellensatz; variety; rational function; Function field; Weierstrass gap Theorem; Ramification; Hurwitz genus formula; Kummer and Artin-Schreier extensions; Hasse-Weil bound; Goppa codes.;

   Abstract : This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Since Goppa's construction of algebraic geometric codes, there has been great interest in finding curves with many rational points. READ MORE

4. 3. Analytic Solutions to Algebraic Equations

   University essay from Linköpings universitet/Matematiska institutionen; Linköpings universitet/Tekniska högskolan

   Author : Tomas Johansson; [1998]
   Keywords : Algebraic equation; Elliptic function; Galois theory; Polynomial; Quintic equation Theta function; Tschirnhaus transformation; Weierstrass function;

   Abstract : This report studies polynomial equations and how one solves them using only the coefficients of the polynomial. It examines why it is impossible to solve equations of degree greater than four using only radicals and how instead one can solve them using elliptic functions. READ MORE