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math.NT2019★ 7 cited
An on-average Maeda-type conjecture in the level aspect
Kimball Martin
We present a conjecture on the average number of Galois orbits of newforms when fixing the weight and varying the level. This conjecture implies, for instance, that the central L-v…
math.NT2019
Mass formulas and Eisenstein congruences in higher rank
Kimball Martin, Satoshi Wakatsuki
We use mass formulas to construct minimal parabolic Eisenstein congruences for algebraic modular forms on reductive groups compact at infinity, and study when these yield congruenc…