Sign functions of imaginary quadratic fields and applications

Hassan Oukhaba[1]

  • [1] Université de Franche-Comte, laboratoire de mathématique, 16 Route de Gray, 25030 Besançon cedex (France)

Annales de l’institut Fourier (2005)

  • Volume: 55, Issue: 3, page 753-772
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Oukhaba, Hassan. "Sign functions of imaginary quadratic fields and applications." Annales de l’institut Fourier 55.3 (2005): 753-772. <http://eudml.org/doc/116207>.

@article{Oukhaba2005,
abstract = {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.},
affiliation = {Université de Franche-Comte, laboratoire de mathématique, 16 Route de Gray, 25030 Besançon cedex (France)},
author = {Oukhaba, Hassan},
journal = {Annales de l’institut Fourier},
keywords = {sign function; narrow ray class field; Shimura reciprocity law; ordianary $s$-ditributions; Anderson’s resolution; spectrales sequences; ordinary -distributions; Anderson's resolution; spectral sequences},
language = {eng},
number = {3},
pages = {753-772},
publisher = {Association des Annales de l'Institut Fourier},
title = {Sign functions of imaginary quadratic fields and applications},
url = {http://eudml.org/doc/116207},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Oukhaba, Hassan
TI - Sign functions of imaginary quadratic fields and applications
JO - Annales de l’institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 3
SP - 753
EP - 772
AB - 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.
LA - eng
KW - sign function; narrow ray class field; Shimura reciprocity law; ordianary $s$-ditributions; Anderson’s resolution; spectrales sequences; ordinary -distributions; Anderson's resolution; spectral sequences
UR - http://eudml.org/doc/116207
ER -

References

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