6 citations · 15 across the 6 of their papers we have counts for
7 papers · 1 filter
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…
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 <…
Quaternion Orders and Ternary Quadratic Forms
Stefan Lemurell
We give details of a formerly known relation between ternary quadratic forms and quaternion orders through the even Clifford algebra. Based on this and classifications of ternary q…
Maass forms and their -functions
David W. Farmer, Stefan Lemurell
We present examples of Maass forms on Hecke congruence groups, giving low eigenvalues on for small prime , and the first 1000 eigenvalues for . We also present…