ANALYTIC CONTINUATION OF NONANALYTIC VECTOR-VALUED EISENSTEIN SERIES
2009 ◽
Vol 05
(05)
◽
pp. 805-830
In this paper, we introduce a vector-valued nonanalytic Eisenstein series appearing naturally in the Rankin–Selberg convolution of a vector-valued modular cusp form associated to a monomial representation ρ of SL(2,ℤ). This vector-valued Eisenstein series transforms under a representation χρ associated to ρ. We use a method of Selberg to obtain an analytic continuation of this vector-valued nonanalytic Eisenstein series to the whole complex plane.
Keyword(s):
2017 ◽
Vol 473
(2197)
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pp. 20160567
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Keyword(s):
2014 ◽
Vol 17
(A)
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pp. 247-256
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1967 ◽
Vol 43
(7)
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pp. 572-577
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2018 ◽
Vol 22
(1)
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pp. 65-74
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2004 ◽
Vol 68
(1)
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pp. 43-76
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1963 ◽
Vol 59
(2)
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pp. 351-362
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