Sökning: "Mellin transform"

Hittade 2 avhandlingar innehållade orden Mellin transform.

1. 1. 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

3. 2. Problems in Number Theory related to Mathematical Physics

   Författare :Rikard Olofsson; Pär Kurlberg; Nalini Anantharaman; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; number theory; mathetical physics; local zeta functions; cat maps; Beurling primes; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis consists of an introduction and four papers. All four papers are devoted to problems in Number Theory. In Paper I, a special class of local ζ-functions is studied. The main theorem states that the functions have all zeros on the line Re(s)=1/2. LÄS MER