Abstract
Let \(\mathfrak {b}\) be a fractional ideal of a one-dimensional Cohen–Macaulay local ring containing a perfect field. This paper is devoted to the study of the motivic Poincaré series defined by different filtrations associated with \(\mathfrak {b}\) in the form of Euler integrals with respect to the generalised Euler characteristic; in particular, the functional equations of the Poincaré series are also described.
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Communicated by A. Constantin.
The author was partially supported by the Spanish Government “Ministerio de Economía y Competitividad” (MINECO), Grant MTM2012-36917-C03-03, and by the German Research Council (DFG), Grant GRK–1916.
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Moyano-Fernández, J.J. Fractional ideals and integration with respect to the generalised Euler characteristic. Monatsh Math 176, 459–479 (2015). https://doi.org/10.1007/s00605-014-0730-3
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DOI: https://doi.org/10.1007/s00605-014-0730-3