Publications [#374139] of Jessica Fintzen

Papers Published

1. Eischen, E; Fintzen, J; Mantovan, E; Varma, I, Differential operators and families of automorphic forms on unitary groups of arbitrary signature, Documenta Mathematica, vol. 23 (January, 2018), pp. 445-495
   (last updated on 2024/07/10)

   Abstract:
   In the 1970's, Serre exploited congruences between qexpansion coefficients of Eisenstein series to produce p-adic families of Eisenstein series and, in turn, p-adic zeta functions. Partly through integration with more recent machinery, including Katz's approach to p-adic differential operators, his strategy has influenced four decades of developments. Prior papers employing Katz's and Serre's ideas exploiting differential operators and congruences to produce families of automorphic forms rely crucially on q-expansions of automorphic forms.