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Mertens products in arithmetic progressions over function fields

Jung, Hwanyup
arXiv (All) · Papers
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11n37algebraic-geometrynumber-theory
We prove a function field analogue of Mertens' formula for Euler products over prime polynomials in arithmetic progressions in $\mathbb{F}_q[t]$, the counterpart of a formula of Languasco and Zaccagnini over the integers. An elementary argument shows that the product over the prime polynomials of de
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