Geodesic
Generalized Beilinson Elements and Generalized Soulé Characters
Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 542-571

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DOI

The generalized Soulé character was introduced by H. Nakamura and Z. Wojtkowiak and is a generalization of Soulé’s cyclotomic character. In this paper, we prove that certain linear sums of generalized Soulé characters essentially coincide with the image of generalized Beilinson elements in K-groups under Soulé’s higher regulator maps. This result generalizes Huber–Wildeshaus’ theorem, which is a cyclotomic field case of our results, to an arbitrary number fields.
DOI : 10.4153/S0008414X20000073
Mots-clés : generalized Beilinson element, generalized Soulé character, polylogarithm 
Sakugawa, Kenji. Generalized Beilinson Elements and Generalized Soulé Characters. Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 542-571. doi: 10.4153/S0008414X20000073
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     title = {Generalized {Beilinson} {Elements} and {Generalized} {Soul\'e} {Characters}},
     journal = {Canadian journal of mathematics},
     pages = {542--571},
     year = {2021},
     volume = {73},
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     doi = {10.4153/S0008414X20000073},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000073/}
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