1 citations · 2 across the 4 of their papers we have counts for
5 papers
Counting newforms with prescribed ramified supercuspidal components
Andrew Knightly, Kimball Martin
We give a formula for the number of newforms in that have prescribed ramified supercuspidal components at a set of primes dividing . This dimen…
Rationality fields of CM modular forms
Kimball Martin
We formulate a conjecture on the finitude of rationality fields (i.e., Fourier coefficient fields) of newforms of bounded degree, and prove this for CM forms assuming a generalized…
Variations on murmurations
Kimball Martin
We explore several variations on the recently discovered phenomena of murmurations for elliptic curves and modular forms.
Distribution of local signs of modular forms and murmurations of Fourier coefficients
Kimball Martin
Recently, we showed that global root numbers of modular forms are biased toward +1. Together with Pharis, we also showed an initial bias of Fourier coefficients towards the sign of…
Local conductor bounds for modular abelian varieties
Kimball Martin
Brumer and Kramer gave bounds on local conductor exponents for an abelian variety in terms of the dimension of and the localization prime . Here we give improv…