Displaying similar documents to “On the Nehari solutions”

Certain L-functions at s = 1/2

Shin-ichiro Mizumoto (1999)

Acta Arithmetica

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Introduction. The vanishing orders of L-functions at the centers of their functional equations are interesting objects to study as one sees, for example, from the Birch-Swinnerton-Dyer conjecture on the Hasse-Weil L-functions associated with elliptic curves over number fields.    In this paper we study the central zeros of the following types of L-functions:    (i) the derivatives of the Mellin transforms of Hecke eigenforms for SL₂(ℤ),    (ii)...

Every reasonably sized matrix group is a subgroup of S ∞

Robert Kallman (2000)

Fundamenta Mathematicae

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Every reasonably sized matrix group has an injective homomorphism into the group S ∞ of all bijections of the natural numbers. However, not every reasonably sized simple group has an injective homomorphism into S ∞ .