60 https://www.uni-bremen.de/en/fb3/studium-lehre/studentische-projekte/student-research-projects-in-mathematics/assigned-and-completed-projects/twisted-eigenfunctions-of-the-laplace-operator Twisted eigenfunctions of the Laplace operator en University of Bremen Mon, 15 Jun 2026 16:00:35 +0200 Mon, 15 Jun 2026 16:00:35 +0200 University of Bremen content-414340 Tue, 03 May 2022 14:40:34 +0200 https://www.uni-bremen.de/en/fb3/studium-lehre/studentische-projekte/student-research-projects-in-mathematics/assigned-and-completed-projects/twisted-eigenfunctions-of-the-laplace-operator#c414340 <p>Periodic eigenfunctions of the Laplacian on the real numbers correspond to the eigenfunctions of the Laplacian of the 1-sphere. The eigenvalues of these eigenfunctions are closely related to the zeros of the Selberg zeta function of the 1-sphere. In this project, twist-periodic eigenfunctions of the real Laplace operator shall be investigated and their eigenvalues shall be compared to the zeros of a twisted Selberg zeta function. </p> <p>Basic knowledge in the fields of analysis (calculus 1 & 2) and linear algebra is recommended. The duration of the project work within the working group should be at least four weeks. In addition, a final paper and a presentation in a seminar will be expected. For more information and conditions please refer to the Module and Course Catalog (german) of the department.<br />  </p> Content