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Arithmetic of higher dimensional Dedekind–Rademacher sums

✍ Scribed by Abdelmejid Bayad; Abdelaziz Raouj


Book ID
113731053
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
193 KB
Volume
132
Category
Article
ISSN
0022-314X

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A generating function of higher-dimensio
✍ Shinji Fukuhara; Noriko Yui 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 199 KB

We introduce higher-dimensional Dedekind sums with a complex parameter z, generalizing Zagier's higher-dimensional Dedekind sums. The sums tend to Zagier's higher-dimensional Dedekind sums as z → ∞. We show that the sums turn out to be generating functions of higher-dimensional Apostol-Zagier sums w