Abstract
We would like to translate the congruences of Chapter 3, which are satisfied by the universal special values, into congruences satisfied by the algebraic part of the values L(f, χ, 1) where f is a parabolic eigenform. We do this modulo certain Eisenstein primes <Emphasis Type=“NonProportional”>P</Emphasis> ⊆ <Emphasis Type=“NonProportional”>O</Emphasis>(f) associated to a pair E, f of eigenfunctions E ∈ <Emphasis Type=“NonProportional”>E</Emphasis>2 (f), f ∈ <Emphasis Type=“NonProportional”>S</Emphasis>2(T) (see §§4.1, 4.2).
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© 1982 Birkhäuser Boston
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Stevens, G. (1982). Congruences. In: Arithmetic on Modular Curves. Progress in Mathematics, vol 20. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-9165-4_4
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DOI: https://doi.org/10.1007/978-1-4684-9165-4_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3088-1
Online ISBN: 978-1-4684-9165-4
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