Function theories in Cayley-Dickson algebras and number theory
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Publication:2044713
DOI10.1007/s00032-021-00325-yzbMath1479.30039arXiv1912.01351OpenAlexW3134540763MaRDI QIDQ2044713
Publication date: 10 August 2021
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.01351
algebraic number fieldsoctonionsfunction theory in Cayley-Dickson algebrasgeneralized CM latticesgeneralized elliptic functions
Functions of hypercomplex variables and generalized variables (30G35) Complex multiplication and moduli of abelian varieties (11G15)
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Cites Work
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- Slice regular functions on real alternative algebras
- The Laurent series on the octonions
- Rudolf Fueter and his motivation for hypercomplex function theory
- The Cauchy integral formulas on the octonions.
- The multiplication of the Clifford-analytic Eisenstein series.
- Cauchy-Riemann operators in octonionic analysis
- Funzioni regolari nell'algebra di Cayley
- Slice Dirac operator over octonions
- On the structure of octonion regular functions
- Holomorphic functions in generalized Cayley-Dickson algebras
- Multiplicative invariant lattices in \(\mathbb{R}^n\) obtained by twisting of group algebras and some explicit characterizations.
- Die unwesentlichen Singularitäten der regulären Funktionen einer Quaternionenvariablen
- Entire Slice Regular Functions
- Clifford analysis with generalized elliptic and quasi elliptic functions
- The octonions
- Characterization of octonionic analytic functions
- Sedenions: Algebra and analysis
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