Round about Kudla's Green function for $\textrm{SO}(3,2)$
Rolf Berndt
TL;DR
This paper explores a specific aspect of Kudla's conjecture related to Eisenstein series and their arithmetic and geometric significance for the orthogonal group SO(3,2).
Contribution
It provides insights into the structure of Kudla's Green functions in the special case of SO(3,2), advancing understanding of their arithmetic and geometric properties.
Findings
Identification of specific properties of Kudla's Green functions for SO(3,2)
Connections between Eisenstein series and arithmetic information
Advancement in understanding Kudla's conjecture in a special case
Abstract
Kudla conjectured that certain Eisenstein series contain important arithmetical and geometric information. The following note describes a certain aspect of this general picture in the special case concerning the orthogonal group
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Theories · Benford’s Law and Fraud Detection