607 citations · 3.8k across the 56 of their papers we have counts for
57 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…
-values and Hecke eigenvalue congruences
Jonas Bergström, Neil Dummigan, David Farmer +1
We find experimental examples of congruences of Hecke eigenvalues between automorphic representations of groups such as , $\mathrm{SO}(4,3)(\mathbb{\mat…
The second Dirichlet coefficient starts out negative
David W. Farmer, Sally Koutsoliotas
Classical modular forms of small weight and low level are likely to have a negative second Fourier coefficient. Similarly, the labeling scheme for elliptic curves tends to give sma…
Varieties via their L-functions
David W. Farmer, Sally Koutsoliotas, Stefan Lemurell
We describe a procedure for determining the existence, or non-existence, of an algebraic variety of a given conductor via an analytic calculation involving L-functions. The procedu…
Maass forms on GL(3) and GL(4)
David W. Farmer, Sally Koutsoliotas, Stefan Lemurell
We describe a practical method for finding an L-function without first finding the associated underlying object. The procedure involves using the Euler product and the approximate…
The highest lowest zero of general L-functions
Jonathan Bober, J. Brian Conrey, David W. Farmer +5
Stephen D. Miller showed that, assuming the generalized Riemann Hypothesis, every entire -function of real archimedian type has a zero in the interval with $-t_0 <…