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Open Access Publications from the University of California

Families of half-integer weight Eisenstein series

  • Author(s): Owen, Mitchell Lee
  • Advisor(s): Dasgupta, Samit
  • et al.

We use explicit formulas for the Fourier coefficients of a certain set of half-integer weight Eisenstein series to determine the appropriate analogue of $p$-stabilization for those forms. We discover that the series does not live in a $p$-adic family in a traditional sense, but that it can be recognized as a linear combination, with slightly different non-analytic coefficients, of two $p$-adic families.

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