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math.NT2024
A family of integrals related to values of the Riemann zeta function
Rahul Kumar, Paul Levrie, Jean-Christophe Pain +1
We propose a relation between values of the Riemann zeta function and a family of integrals. This results in an integral representation for , where is a positive int…
math.OA2024
Operator-Valued Twisted Araki-Woods Algebras
Rahul Kumar R, Melchior Wirth
We introduce operator-valued twisted Araki-Woods algebras. These are operator-valued versions of a class of second quantization algebras that includes -Gaussian and -Araki-Wo…