51 citations · 95 across the 17 of their papers we have counts for
20 papers
The Landscape of L-functions: degree 3 and conductor 1
David W. Farmer, Sally Koutsoliotas, Stefan Lemurell +1
We extend previous lists by numerically computing approximations to many L-functions of degree , conductor , and small spectral parameters. We sketch how previous argumen…
Hypergeometric Motives
David P. Roberts, Fernando Rodriguez Villegas
Survey of hypergeometric motives, with a focus on their source varieties, Hodge numbers, and L-functions.
Abelian surfaces with fixed -torsion
Frank Calegari, Shiva Chidambaram, David P. Roberts
Given a genus two curve , we give an explicit parametrization of all other such curves with a specified symplectic isomorphism on three-…
Newforms with rational coefficients
David P. Roberts
We consider the set of classical newforms with rational coefficients and no complex multiplication. We study the distribution of quadratic-twist classes of these forms with respect…
number fields with rational companion forms
David P. Roberts
We give a list of number fields for which have rational companion forms. Our list has fifty-three fields and seems likely to be complete. So…
Artin L-functions of small conductor
John W. Jones, David P. Roberts
We study the problem of finding the Artin L-functions with the smallest conductor for a given Galois type. We adapt standard analytic techniques to our novel situation of fixed Gal…