For every bounded Lipschitz domain, Pólya's eigenvalue bound holds up to factor 1+ε for all eigenvalues above an explicit threshold, and exact Pólya bounds are proved for new irregular domain classes.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.SP 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law
For every bounded Lipschitz domain, Pólya's eigenvalue bound holds up to factor 1+ε for all eigenvalues above an explicit threshold, and exact Pólya bounds are proved for new irregular domain classes.