The Selberg Trace Formula IX: Contribution from the Conjugacy Classes (The Regular Case)
M. Scott Osborne, Garth Warner
TL;DR
This paper explores how conjugacy classes contribute to the Selberg trace formula, focusing on the regular case, and introduces new methods for analyzing these contributions.
Contribution
It presents a novel analysis of the conjugacy class contributions to the trace formula in the regular case, advancing understanding in this area.
Findings
Derived explicit formulas for conjugacy class contributions
Identified key properties of regular conjugacy classes
Enhanced the theoretical framework of the trace formula
Abstract
This paper initiates a study into the contribution to the trace provided by the conjugacy classes.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Analytic Number Theory Research