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- W2072018105 abstract "We prove that logarithmic derivatives of certain twisted Hilbert class polynomials are holomorphic modular forms modulo p of filtration p + 1. We derive p-adic information about twisted Hecke traces and Hilbert class polynomials. In this framework, we formulate a precise criterion for p-divisibility of class numbers of imaginary quadratic fields in terms of the existence of certain cusp forms modulo p. We explain the existence of infinite classes of congruent twisted Hecke traces with fixed discriminant in terms of the factorization of the associated Hilbert class polynomial modulo p. Finally, we provide a new proof of a theorem of Ogg classifying those p for which all supersingular j-invariants modulo p lie in F p ." @default.
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- W2072018105 date "2010-05-01" @default.
- W2072018105 modified "2023-10-18" @default.
- W2072018105 title "ON p-ADIC PROPERTIES OF TWISTED TRACES OF SINGULAR MODULI" @default.
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- W2072018105 doi "https://doi.org/10.1142/s1793042110003101" @default.
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