Abstract
Let G be a finite abelian group. The Davenport constant \({\mathsf D(G)}\) is a frequently investigated invariant of additive group theory with interesting arithmetical applications. In contrast, the only recently introduced generalizations making allowances for weights hitherto turned out to be of purely combinatorial interest without an arithmetical interpretation. In this note, we give an arithmetical interpretation of certain types of weighted Davenport constants in terms of algebraic integers and of binary quadratic forms.
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Halter-Koch, F. Arithmetical interpretation of weighted Davenport constants. Arch. Math. 103, 125–131 (2014). https://doi.org/10.1007/s00013-014-0677-6
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DOI: https://doi.org/10.1007/s00013-014-0677-6