Abstract
We describe the extension of the techniques implemented in [DSS] to the computation of provably accurate values for the lead term at s = 0 of abelian L-functions having higher order zeros, and provide some explicit examples. In particular we raise the question of applying the higher order extensions of the abelian Stark Conjecture to the explicit construction of an interesting field extension in a manner analogous to the applications here and in [DSS], [Ro] in the case of zeros of rank one.
Partially supported by grants from the National Science Foundation and the National Security Agency.
Partially supported by a grant from the National Security Agency.
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© 1998 Springer-Verlag Berlin Heidelberg
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Dummit, D.S., Tangedal, B.A. (1998). Computing the lead term of an abelian L-function. In: Buhler, J.P. (eds) Algorithmic Number Theory. ANTS 1998. Lecture Notes in Computer Science, vol 1423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0054879
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DOI: https://doi.org/10.1007/BFb0054879
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