Under GRH, one-level densities for even and odd orthogonal families of automorphic L-functions are established with Fourier support extended to (-3,3), giving the strongest conditional non-vanishing results at the central point.
Iwaniec,Topics in classical automorphic forms, Graduate Studies in Mathematics, vol
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
One-level densities of large even and odd orthogonal families of automorphic L-functions
Under GRH, one-level densities for even and odd orthogonal families of automorphic L-functions are established with Fourier support extended to (-3,3), giving the strongest conditional non-vanishing results at the central point.