Sign functions of imaginary quadratic fields and applications
Annales de l'Institut Fourier, Volume 55 (2005) no. 3, p. 753-772
We propose a definition of sign of imaginary quadratic fields. We give an example of such functions, and use it to define new invariants that are roots of the classical Ramachandra invariants. Also we introduce signed ordinary distributions and compute their signed cohomology by using Anderson's theory of double complex.
Nous proposons une définition du signe pour les corps quadratiques imaginaires. Nous donnons un exemple de telles fonctions et l'utilisons pour définir de nouveaux invariants qui sont racines des invariants de Ramachandra classiques. D'autre part nous introduisons les distributions ordinaires signées et calculons leur cohomologie à l'aide de la theéorie d'Anderson dite du double complexe.
DOI : https://doi.org/10.5802/aif.2113
Classification:  11G16,  14K22,  11R21
Keywords: sign function, narrow ray class field, Shimura reciprocity law, ordianary s-ditributions, Anderson’s resolution, spectrales sequences
@article{AIF_2005__55_3_753_0,
     author = {Oukhaba, Hassan},
     title = {Sign functions of imaginary quadratic fields and applications},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {55},
     number = {3},
     year = {2005},
     pages = {753-772},
     doi = {10.5802/aif.2113},
     mrnumber = {2149402},
     zbl = {02171524},
     language = {en},
     url = {https://aif.centre-mersenne.org/item/AIF_2005__55_3_753_0}
}
Sign functions of imaginary quadratic fields and applications. Annales de l'Institut Fourier, Volume 55 (2005) no. 3, pp. 753-772. doi : 10.5802/aif.2113. https://aif.centre-mersenne.org/item/AIF_2005__55_3_753_0/

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