Selberg Zeta and Theta Functions: A Differential Operator Approach
Ulrich Bunke, Martin Olbrich
Abstract
Ulrich Bunke, Martin Olbrich
Abstract
From wave equation to trace formula singularities of the theta function determinant representation of the Selberg zeta function the functional equations of Selberg and Ruelle zeta functions Dirac operators and form Laplacians.
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From wave equation to trace formula singularities of the theta function determinant representation of the Selberg zeta function the functional equations of Selberg and Ruelle zeta functions Dirac operators and form Laplacians.
Key concepts: Selberg trace formula, Riemann zeta function, Arithmetic zeta function, Mathematics, Prime zeta function, Zeta function regularization, TRACE (psycholinguistics), Mathematical physics