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math.NT2019
-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…
math.NT2015★ 1 cited
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…
math.NT2012★ 3 cited
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…