Quantitative distributions of Fourier coefficient relations for twist-inequivalent non-CM newforms yield multiplicity-one refinements and a density criterion for distinguishing newforms.
Title resolution pending
5 Pith papers cite this work. Polarity classification is still indexing.
years
2026 5verdicts
UNVERDICTED 5representative citing papers
Formulates a conjectural classification of H_{1,n-1}-distinguished irreducible smooth representations of GL_n(D) for n>2 and proves it for n=3 and n=4.
Geometrizes Poisson summation for quadrics over number fields by relating Braverman-Kazhdan and theta-lift Schwartz spaces.
Proves unconditional effective joint Sato-Tate distribution for coefficients of two twist-inequivalent non-CM newforms, generalizing to measurable subsets with finite-length curve boundaries and yielding sign-change results for symmetric powers.
Studies differential operators on Braverman-Kazhdan spaces P^der backslash G and claims they share structural properties with Weyl algebras while developing D-module theory.
citing papers explorer
-
Determining Newforms via various relations among Fourier Coefficients
Quantitative distributions of Fourier coefficient relations for twist-inequivalent non-CM newforms yield multiplicity-one refinements and a density criterion for distinguishing newforms.
-
Geometrization of summation formulae for quadrics
Geometrizes Poisson summation for quadrics over number fields by relating Braverman-Kazhdan and theta-lift Schwartz spaces.
-
Effective Joint Sato-Tate Distribution and Sign Change of Symmetric Power Coefficients
Proves unconditional effective joint Sato-Tate distribution for coefficients of two twist-inequivalent non-CM newforms, generalizing to measurable subsets with finite-length curve boundaries and yielding sign-change results for symmetric powers.