13 citations · 24 across the 9 of their papers we have counts for
4 papers · 1 filter
Triple correlation and long gaps in the spectrum of flat tori
Christoph Aistleitner, Valentin Blomer, Maksym Radziwiłł
We evaluate the triple correlation of eigenvalues of the Laplacian on generic flat tori in an averaged sense. As two consequence we show that (a) the limit inferior (resp. limit su…
Uniform subconvexity and symmetry breaking reciprocity
Valentin Blomer, Rizwanur Khan
A non-symmetric reciprocity formula is established that expresses the fourth moment of automorphic L-functions of level q and primitive central character twisted by the l-th Hecke…
The second moment theory of families of L-functions
Valentin Blomer, Étienne Fouvry, Emmanuel Kowalski +3
For a fairly general family of L-functions, we survey the known consequences of the existence of asymptotic formulas with power-sawing error term for the (twisted) first and second…
Subconvexity for L-functions of non-spherical cusp forms on GL(3)
Valentin Blomer, Jack Buttcane
Let f be a cusp form for SL(3, Z) associated with a generalized principal series representation of minimal weight d, spectral parameter r and associated L-function L(s, f). For $r…