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- W2091860881 abstract "Abstract Let f be a classical newform of weight 2 on the upper half-plane , E the corresponding strong Weil curve, K a class number one imaginary quadratic field, and F the base change of f to K . Under a mild hypothesis on the pair ( f , K ), we prove that the period ratio is in ℚ. Here Ω F is the unique minimal positive period of F , and Ω E the area of E (ℂ). The claim is a specialization to base change forms of a conjecture proposed and numerically verified by Cremona and Whitley." @default.
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- W2091860881 date "2010-09-01" @default.
- W2091860881 modified "2023-10-18" @default.
- W2091860881 title "Periods of Modular Forms and Imaginary Quadratic Base Change" @default.
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- W2091860881 doi "https://doi.org/10.4153/cmb-2010-047-0" @default.
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