Atkin-Lehner involutions and class number residuality
نویسندگان
چکیده
منابع مشابه
Broué-Enguehard maps and Atkin-Lehner involutions
Let ` be one of the ten integers such that the sum of their divisors divide 24. For each such `, (except 15) we give a map from an algebra of polynomial invariants of some finite group to the algebra of modular forms invariant under the Atkin–Lehner group of level `. These maps are motivated and inspired by constructions of modular lattices from self-dual codes over rings. This work generalizes...
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We wish to give a new proof of one of the main results of Atkin-Lehner [1]. That paper depends, among other things, on a slightly strengthened version of Theorem 1 below, which characterizes forms in Sk(Γ0(N)) whose Fourier coefficients satisfy a certain vanishing condition. Our proof involves rephrasing this vanishing condition in terms of representation theory; this, together with an elementa...
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If f(z) is a weight k ∈ 1 2 Z meromorphic modular form on Γ0(N) satisfying f(z) = ∑
متن کاملGalois Groups via Atkin-lehner Twists
Using Serre’s proposed complement to Shih’s Theorem, we obtain PSL2(Fp) as a Galois group over Q for at least 614 new primes p. Assuming that rational elliptic curves with odd analytic rank have positive rank, we obtain Galois realizations for 3 8 of the primes that were not covered by previous results; it would also suffice to assume a certain (plausible, and perhaps tractable) conjecture conc...
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We investigate suborbital graphs for an imprimitive action of the Atkin–Lehner group on a maximal subset of extended rational numbers on which a transitive action is also satisfied. Obtaining edge and some circuit conditions, we examine some combinatorial properties of these graphs.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1977
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-33-1-1-9