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Article Dans Une Revue International Journal of Number Theory Année : 2023

Special values of ray class partial zeta functions

Résumé

For totally real number fields, we show that the special values of narrow ray class partial zeta functions at negative odd integers depend only on the wide ray class associated to the given narrow class. At even nonpositive integers, we show that the same is true, but only up to sign. For a general number field, we prove similar results for the leading terms at special points.
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hal-04046224 , version 1 (25-03-2023)

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Karim Belabas, Francisco Diaz y Diaz, Eduardo Friedman. Special values of ray class partial zeta functions. International Journal of Number Theory, 2023, 19 (03), pp.481-493. ⟨10.1142/S1793042123500227⟩. ⟨hal-04046224⟩
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