25 citations · 42 across the 6 of their papers we have counts for
4 papers · 1 filter
Functoriality probes over number fields by mixed zero correlations
Yangbo Ye
We use an automorphic L-function over one number field as a probe for the functorial structure of another automorphic L-function over a possibly different field. No automorphic ind…
Probing automorphic induction through zero correlations and secondary arithmetic terms
Yangbo Ye
Zero correlations offer a way to test the cuspidal structure of an automorphic L-function, but their leading self statistics retain only coarse degree and multiplicity data. We the…
Zero density in short strips and short-interval bounds toward Hypothesis S
Yangbo Ye
We deduce zero-density estimates in short vertical strips from short-interval moments of globally tempered automorphic -functions, by adapting the large-value estimate of Guth a…
Nonlinear twists of Rankin-Selberg coefficients in the eigenvalue aspect
Yangbo Ye
Let be a fixed primitive Hecke--Maass cusp form, and let vary with spectral parameter , at a fixed level and with trivial nebentypus. We study smooth sums of $λ_f(n)…