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October 9, 2025Open Access

A note on Poisson summation for GL(2)

Key Points

The analysis shows that the trivial representation's contribution to the trace formula can be effectively canceled.
Key findings indicate that applying a modified Poisson summation formula is crucial for understanding elliptic contributions.
The study employs an adelic perspective to re-examine previous methods in the context of GL(2).
These findings suggest significant implications for the broader understanding of representation theory and trace formulas.

Abstract

Using analytic number theory techniques, Altuğ showed that the contribution of the trivial representation to the Arthur-Selberg trace formula for GL (2) over could be cancelled by applying a modified Poisson summation formula to the regular elliptic contribution. Drawing on recent works, we re-examine these methods from an adelic perspective.

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Tian An Wong (Thu,) studied this question.

synapsesocial.com/papers/68e7d631bd66d359be6266d7 — DOI: https://doi.org/10.48550/arxiv.2510.02273

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Authors

Tian An Wong

University of Michigan–Dearborn

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A note on Poisson summation for GL(2)

Key Points

Abstract

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Discussion

Cite this study

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Authors

Actions

References and Citations

Citation Network

Connected Papers

Discussion

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