The multiplication of the Clifford-analytic Eisenstein series.
DOI10.1016/S0022-314X(03)00080-5zbMath1044.11046MaRDI QIDQ1418472
Publication date: 12 January 2004
Published in: Journal of Number Theory (Search for Journal in Brave)
multiplication formulaWeierstrass \(\wp\)-function\(s\)-monogenic generalization of Eisenstein seriesgeneralized monogenic \(\wp\)-functionsHerglotz lemmahypercomplex multiplication
Functions of hypercomplex variables and generalized variables (30G35) Complex multiplication and moduli of abelian varieties (11G15) Discontinuous groups and automorphic forms (11F99) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)
Related Items (2)
Cites Work
- Complex and quaternionic analyticity in chiral and gauge theories. I
- Holomorphic Cliffordian functions
- Partial fraction expansion of the cotangens, Herglotz trick, and the Weierstrass continuous, nowhere differentiable function
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- On a new type of Eisenstein series in Clifford analysis
- Representation formulas for the general derivatives of the fundamental solution to the Cauchy-Riemann operator in Clifford analysis and applications
- Über Abelsche Funktionen von zwei komplexen Variablen
- Elliptic cliffordian functions
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