Sökning: "discriminants"

Hittade 4 avhandlingar innehållade ordet discriminants.

  1. 1. Polynomial Sequences Generated by Linear Recurrences : Location and Reality of Zeros

    Författare :Innocent Ndikubwayo; Boris Shapiro; Rikard Bögvad; Tamás Forgacs; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; real-rooted polynomials; generating functions; discriminants; Tran s conjecture; Toeplitz matrices; Mathematics; matematik;

    Sammanfattning : In this thesis, we study the problem of location of the zeros of individual polynomials in sequences of polynomials generated by linear recurrence relations.In paper I, we establish the necessary and sufficient conditions that guarantee hyperbolicity of all the polynomials generated by a three-term recurrence of length 2, whose coefficients are arbitrary real polynomials. LÄS MER

  3. 2. Amoebas, Discriminants, and Hypergeometric Functions

    Författare :Lisa Nilsson; Mikael Passare; Maurice Rojas; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; amoeba; coamoeba; discriminant; hypergeometric functions; Mellin transform; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; matematik;

    Sammanfattning : This thesis consists of six chapters. In Chapter 1 we give some historical background to the topic of the thesis together with the fundamental definitions and results that the thesis is based on. In Chapter 2 we study Mellin transforms of rational functions and investigate their analytic continuations. LÄS MER

  4. 3. Principal Parts on P^1 and Chow-groups of the classical discriminants

    Författare :Helge Maakestad; KTH; []
    Nyckelord :Sheaves of principal parts; bimodule structure; splitting-type; positive characteristic; Chow-groups; resultants; group actions; invariant theory; Sylvester-formula;

    Sammanfattning : .... LÄS MER

  5. 4. Point counts and the cohomology of moduli spaces of curves

    Författare :Jonas Bergström; Carel Faber; Lothar Göttsche; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : n this thesis we count the number of points defined over finite fields of certain moduli spaces of pointed curves. The aim is primarily to gain cohomological information. Paper I is joint work with Orsola Tommasi. Here we present details of the method of finding cohomological information on moduli spaces of curves by counting points. LÄS MER