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A Twisted AdjointL-Value of an Elliptic Modular Form

✍ Scribed by Keiji Goto

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 360 KB
Volume: 73
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1998.2270

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✦ Synopsis

We shall show an explicit value of a twisted adjoint L-value L(1, Ad( f ) /) attached to f. Here f is a primitive elliptic cusp form of ``Haupt''-type and / a quadratic character. The calculation can be done by using the formula of L(1, Ad( f ) /) obtained by Hida. This value supports numerically a conjecture of Doi Hida Ishii [3].

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