Slopes of modular forms and the ghost conjecture (unabridged version)

Published 15 Jul 2016 in math.NT | (1607.04658v2)

Abstract: We formulate a conjecture on slopes of overconvergent p-adic cuspforms of any p-adic weight in the Gamma_0(N)-regular case. This conjecture unifies a conjecture of Buzzard on classical slopes and more recent conjectures on slopes "at the boundary of weight space".

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