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Studying the Eisenstein cocycle by Sczech, I noticed that to understand its connection with the values at negative integers with zeta functions it is necessary to understand the resuts by Siegel in

Siegel, Carl Ludwig. Über die Fourierschen Koeffizienten von Modulformen. Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II 1970 1970 15–56.

Sadly, I don't have access to this paper, and the review in mathscinet is in german; even worst, I do not read german (which I'm slowly learning). Do you know any reference in english, french or spanish, that shows Siegel's results, hopefully with proofs?

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  • $\begingroup$ You may find the article by D.R. Hayes, Brumer elements over a real quadratic base field, Expositiones Mathematicae, 1990 of interest, in particular the appendix where there is a short discussion of the 1-cocycle. $\endgroup$
    – M. Khan
    Apr 27, 2019 at 15:47
  • $\begingroup$ Thanks @M.Khan. I couldn't find a copy of that article in the web and in my library. Do know if there is an online copy? $\endgroup$
    – efs
    Apr 30, 2019 at 0:30
  • $\begingroup$ I do not know. I will scan my copy and send it to you. Just send your contact info to me at [email protected] $\endgroup$
    – M. Khan
    Apr 30, 2019 at 14:10
  • $\begingroup$ @M.Khan You are very kind. Thank you very much. $\endgroup$
    – efs
    Apr 30, 2019 at 14:25

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The standard reference in English is the Appendix of Siegel's book "Advanced analytic number theory" (Tata Institute 1980)

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