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arxiv: 1903.02818 · v1 · pith:BMBFQAPMnew · submitted 2019-03-07 · 🧮 math.NT

First order p-adic deformations of weight one newforms

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keywords adicdeformationsnewformsweightalgebraicarticleassociatedclassical
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This article studies the first-order $p$-adic deformations of classical weight one newforms, relating their fourier coefficients to the $p$-adic logarithms of algebraic numbers in the field cut out by the associated projective Galois representation.

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