Pith. sign in

REVIEW 1 cited by

Archimedean period relations for Rankin-Selberg convolutions

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2412.18805 v2 pith:JBN7QK3B submitted 2024-12-25 math.RT

Yubo Jin , Dongwen Liu , Binyong Sun This is my paper · ORCID
classification math.RT
keywords textarchimedeantimesconvolutionsperiodproverankin-selbergrelations
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We formulate and prove the archimedean period relations for Rankin-Selberg convolutions of $\text{GL}(n)\times \text{GL}(n)$ and $\text{GL}(n)\times \text{GL}(n-1)$, for all generic cohomological representations. As a consequence, we prove the non-vanishing of the archimedean modular symbols. This extends the earlier results in [LLS24] for essentially tempered representations of $\text{GL}(n)\times\text{GL}(n-1)$.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On rationality of certain Eisenstein cohomology

    math.NT 2025-06 conditional novelty 6.0 of 10

    For degenerate principal series of GL_n satisfying a balanced condition, the Eisenstein map on the bottom-degree cohomology is Aut(C)-equivariant, yielding a rational structure on this Eisenstein cohomology.

Pith tools