Families of modular forms
نویسندگان
چکیده
منابع مشابه
Coleman’s L-invariant and Families of Modular Forms
Let p be a prime > 2 and N be a positive integer with p 6 |N . Let f be a classical newform over Γ0(Np) of even weight k0 + 2 ≥ 2 and assume f is split multiplicative at p, thus ap(f) = p0 where ap(f) is the eigenvalue of the U -operator at p acting on f . Under these hypotheses, Coleman [3] defined an L-invariant L(f) which he conjectured to be equal to the higher weight Mazur-TateTeitelbaum L...
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Let p be a prime, Cp the completion of an algebraic closure of the p-adicnumbers Qp and K a finite extension of Qp contained in Cp. Let v be the valuation on Cp such that v(p) = 1 and let | | be the absolute value on Cp such that |x| = p for x ∈ Cp. Suppose N is a positive integer prime to p. Let X1(Np) denote the modular curve over K which represents elliptic curves with Γ1(Np)-structure and l...
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This short course is an introduction to the theory of harmonic Maass forms, mock modular forms, and quantum modular forms. These objects have many applications: black holes, Donaldson invariants, partitions and q-series, modular forms, probability theory, singular moduli, Borcherds products, central values and derivatives of modular L-functions, generalized Gross-Zagier formulae, to name a few....
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These are the notes for Math 678, University of Michigan, Fall 1990, exactly as they were handed out during the course except for some minor revisions and corrections. Please send comments and corrections to me at [email protected].
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2001
ISSN: 1246-7405
DOI: 10.5802/jtnb.302