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12

ANTS
2000
Springer

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Computing Special Values of Partial Zeta Functions

13 years 8 months ago

Computing Special Values of Partial Zeta Functions

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We discuss computation of the special values of partial zeta functions associated to totally real number ﬁelds. The main tool is the Eisenstein cocycle Ψ, a group cocycle for GLn(Z); the special values are computed as periods of Ψ, and are expressed in terms of generalized Dedekind sums. We conclude with some numerical examples for ﬁelds of degree ≤ 5 and small discriminant.

Gautam Chinta, Paul E. Gunnells, Robert Sczech

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Algorithms | ANTS 2000 | Generalized Dedekind Sums | Partial Zeta Functions | Special Values |

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Added	02 Aug 2010
Updated	02 Aug 2010
Type	Conference
Year	2000
Where	ANTS
Authors	Gautam Chinta, Paul E. Gunnells, Robert Sczech

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