The multiplication of the Clifford-analytic Eisenstein series.

DOI10.1016/S0022-314X(03)00080-5zbMath1044.11046MaRDI QIDQ1418472

Rolf Sören Krausshar

Publication date: 12 January 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

multiplication formulaWeierstrass \(\wp\)-function\(s\)-monogenic generalization of Eisenstein seriesgeneralized monogenic \(\wp\)-functionsHerglotz lemmahypercomplex multiplication

Mathematics Subject Classification ID

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)

Multiplicative invariant lattices in \(\mathbb{R}^n\) obtained by twisting of group algebras and some explicit characterizations. ⋮ Function theories in Cayley-Dickson algebras and number theory

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
• Order theory for isolated points of monogenic functions
• 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
• Monogenic muitiperiodic functions in clifford analysis
• Clifford analysis with generalized elliptic and quasi elliptic functions
• Arithmetic Applications of the Hyperbolic Lattice Point Theorem
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