Signature defects of cusps and values of L-functions: The nonsplit case
This note is a supplement to our paper [Ann. Math., II. Ser. 118, 131-177 (1983; Zbl 0531.58048)]. Hirzebruch conjectured that the values at zero of the Shimizu L-functions are realized as the signature defects of cusps associated to Hilbert modular varieties. In the paper cited above we claimed to have established the Hirzebruch conjecture but, as was pointed out to us by W. Müller, we only dealt with the ''split'' case. In fact our method of proof extends with essentially no change to the non-split case.
scientific article; zbMATH DE number 3923732
scientific article