4 papers · 1 filter
On the invariants of L-functions of degree 2, I: twisted degree and internal shift
J. Kaczorowski, A. Perelli
This is the first part of a series of papers where the behaviour of the invariants under twist by Dirichlet characters is studied for -functions of degree 2. Here we show, under…
An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications
Mattia Cafferata, Alberto Perelli, Alessandro Zaccagnini
We prove an extension of the Bourgain-Sarnak-Ziegler theorem and then apply it to bound certain polynomial exponential sums with modular coefficients.
A spectral universality theorem for Maass -functions
Giacomo Cherubini, Alberto Perelli
We show that for a positive proportion of Laplace eigenvalues the associated Hecke-Maass -functions approximate with arbitrary precision any target function $f(…
A rigidity theorem for translates of uniformly convergent Dirichlet series
A. Perelli, M. Righetti
It is well known that the Riemann zeta function, as well as several other -functions, is universal in the strip ; this is certainly not true for . Answering a ques…