Non-vanishing of the first derivative of GL(3) ×GL(2) L-functions
2018 ◽
Vol 14
(03)
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pp. 847-869
Keyword(s):
Let [Formula: see text] be a fixed self-dual Hecke–Maass cusp form for [Formula: see text] and [Formula: see text] be an orthogonal basis of odd Hecke–Maass cusp forms for [Formula: see text]. We prove an asymptotic formula for the average of the first derivative of the Rankin–Selberg [Formula: see text]-function of [Formula: see text] and [Formula: see text] at the center point [Formula: see text]. This implies the non-vanishing results for the first derivative of these [Formula: see text]-functions at the center point [Formula: see text].
2018 ◽
Vol 14
(08)
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pp. 2277-2290
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Keyword(s):
2021 ◽
Vol 0
(0)
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2017 ◽
Vol 13
(05)
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pp. 1233-1243
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2014 ◽
Vol 150
(5)
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pp. 763-797
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Keyword(s):
1984 ◽
Vol 25
(1)
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pp. 107-119
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Keyword(s):
2014 ◽
Vol 11
(01)
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pp. 39-49
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Keyword(s):
1984 ◽
Vol 93
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pp. 149-171
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