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Poles of unramified degenerate Eisenstein series

Number Theory 2024-05-17 v3

Abstract

We determine the poles of maximal unramified degenerate Eisenstein series of a split semisimple algebraic group over a number field using a straightforward global argument, avoiding delicate analysis of intertwining operators.

Keywords

Cite

@article{arxiv.2401.13093,
  title  = {Poles of unramified degenerate Eisenstein series},
  author = {Devadatta G. Hegde},
  journal= {arXiv preprint arXiv:2401.13093},
  year   = {2024}
}

Comments

Some minor computational errors are fixed. Restricted to the maximal parabolic case for clarity. Comments and corrections are gratefully received at [email protected]