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math.NT2020
Quasi-inner functions and local factors
Alain Connes, Caterina Consani
We introduce the notion of {\it quasi-inner} function and show that the product of ratios of local {-}factors {} over a finit…
math.NT2020
Weil positivity and Trace formula, the archimedean place
Alain Connes, Caterina Consani
We provide a potential conceptual reason for the positivity of the Weil functional using the Hilbert space framework of the semi-local trace formula of the paper "Trace formula in…