Trace formulas applied to the Riemann $\zeta$-function

Fritz Gesztesy; Hagop Tossounian; Klaus Kirsten; Lance Littlejohn; Lotfi Hermi; Mark S. Ashbaugh

arxiv: 1812.00459 · v1 · pith:J75BDQCNnew · submitted 2018-12-02 · 🧮 math.SP

Trace formulas applied to the Riemann zeta-function

Mark S. Ashbaugh , Fritz Gesztesy , Lotfi Hermi , Klaus Kirsten , Lance Littlejohn , Hagop Tossounian This is my paper

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keywords functionriemannzetaappliedderivedformulasintegersintegral

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We use a spectral theory perspective to reconsider properties of the Riemann zeta function. In particular, new integral representations are derived and used to present its value at odd positive integers.

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Trace formulas applied to the Riemann zeta-function

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