29 citations · 86 across the 20 of their papers we have counts for
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math.NT2016
Refined dimensions of cusp forms, and equidistribution and bias of signs
Kimball Martin
We refine known dimension formulas for spaces of cusp forms of squarefree level, determining the dimension of subspaces generated by newforms both with prescribed global root numbe…
math.GR2016
Distinguishing finite group characters and refined local-global phenomena
Kimball Martin, Nahid Walji
Serre obtained a sharp bound on how often two irreducible degree complex characters of a finite group can agree, which tells us how many local factors determine an Artin -fu…
math.NT2016
The Jacquet-Langlands correspondence, Eisenstein congruences, and integral L-values in weight 2
Kimball Martin
We use the Jacquet-Langlands correspondence to generalize well-known congruence results of Mazur on Fourier coefficients and L-values of elliptic modular forms for prime level in w…