REVIEW 2 cited by
Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)
Not yet reviewed by Pith; the record is open.
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
Signed reviews
read the original abstract
We establish the Sato-Tate equidistribution of Hecke eigenvalues on average for families of Hecke--Maass cusp forms on SL(n,R)/SO(n). For each of the principal, symmetric square and exterior square L-functions we verify that the families are essentially cuspidal and deduce the level distribution with restricted support of the low-lying zeros. We also deduce average estimates toward Ramanujan.
Forward citations
Cited by 2 Pith papers
-
On the remainder term of the Weyl law for congruence subgroups of Chevalley groups
For simply connected simple Chevalley groups over Q, the cuspidal Weyl law for congruence subgroups holds with remainder O(T^{d-δ}) for some δ > 0, where d is the dimension of the symmetric space.
-
Squarefree numbers in short intervals: explicit and formalized
For intervals of length H = X^{1/5 - 2/90935 + ε}, the number of squarefree integers differs from (6/π²)H by at most an explicit constant times H X^{-ε/10^{25}}.
Discussion (0). Continue with ORCID to comment.