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On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.

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Traces vs. Determinants in Artin's $L$-functions

Loosely put, my question is: What happens if we swap determinant by the trace in an Artin $L$-function? This question is not very precise and can be a little misleading, so I explain the specific cont …
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