4 citations · 5 across the 5 of their papers we have counts for
6 papers
Triple product p-adic L-functions for balanced weights
Matthew Greenberg, Marco Adamo Seveso
We construct -adic triple product -functions that interpolate (square roots of) central critical -values in the balanced region. Thus, our construction complements that of…
Integral Eisenstein cocycles on GLn, II : Shintani's method
Pierre Charollois, Samit Dasgupta, Matthew Greenberg
We define a cocycle on Gln using Shintani's method. It is closely related to cocycles defined earlier by Solomon and Hill, but differs in that the cocycle property is achieved thro…
Rationality of secant zeta values
Pierre Charollois, Matthew Greenberg
We use the Arakawa-Berndt theory of generalized eta-functions to prove a conjecture of Lalìn, Rodrigue and Rogers concerning the algebraic nature of special values of the secant ze…
Lattice methods for algebraic modular forms on classical groups
Matthew Greenberg, John Voight
We use Kneser's neighbor method and isometry testing for lattices due to Plesken and Souveigner to compute systems of Hecke eigenvalues associated to definite forms of classical re…
Nonsolvable number fields ramified only at 3 and 5
Lassina Dembele, Matthew Greenberg, John Voight
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of the rational numbers which is ramified only at p via explicit computations with Hilbert modular forms.
Computing systems of Hecke eigenvalues associated to Hilbert modular forms
Matthew Greenberg, John Voight
We utilize effective algorithms for computing in the cohomology of a Shimura curve together with the Jacquet-Langlands correspondence to compute systems of Hecke eigenvalues associ…