The Functional Equation for L-Functions of Hyperelliptic Curves

We compute the L-functions of a large class of algebraic curves and verify the expected functional equation numerically. Our computations are based on our previous results on stable reduction to calculate the local L-factor and the conductor exponent at the primes of bad reduction. We mainly restric...

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Veröffentlicht in:	Experimental mathematics 2017-10, Vol.26 (4), p.396-411
Hauptverfasser:	Börner, Michel, Bouw, Irene I., Wewers, Stefan
Format:	Artikel
Sprache:	eng
Schlagworte:	curves L-functions Primary 11G40 Secondary 14G10, 11G20 semistable reduction
Online-Zugang:	Volltext
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