Double Dirichlet series associated with arithmetic functions
classification
🧮 math.NT
keywords
arithmeticassociateddirichletdoublefunctionfunctionsseriesanalytic
read the original abstract
We consider double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the M\"obius function, and so on. We show analytic continuations of them by use of the Mellin-Barnes integral. Furthermore we observe their reverse values at non-positive integer points.
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