In this chapter K is a finite field of characteristic p with q elements. Let F be an algebraic function field of one variable over K and g the genus of F/K. Denote the group of divisors and the group of divisor classes of F/K by \(\mathcal{D}\) and \(\mathcal{C}\) , respectively.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). The Riemann Hypothesis for Function Fields. In: Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77270-5_4
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DOI: https://doi.org/10.1007/978-3-540-77270-5_4
Publisher Name: Springer, Berlin, Heidelberg
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