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Non-vanishing of symmetric square -functions

Author(s): Yuk-Kam Lau
Journal: Proc. Amer. Math. Soc. 130 (2002), 3133-3139.
MSC (2000): Primary 11F66
Posted: May 29, 2002
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Abstract: Given a complex number with $0<\Re e\, s<1$ , we study the existence of a cusp form of large even weight for the full modular group such that its associated symmetric square -function $L({sym}^2f,s)$ does not vanish. This problem is also considered in other articles.

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3.: W. Kohnen and J. Sengupta, Nonvanishing of symmetric square -functions of cusp forms inside the critical strip, Proc. Amer. Math. Soc. 128 (2000), 1641-1646. MR 2000j:11072
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6.: G.N. Watson, A Treatise on the Theory of Bessel Function, Reprint, Cambridge University Press, 1996. MR 96i:33010


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