A converse theorem for metaplectic Eisenstein series on the double and triple covers of SL2(ℚ(−D))
2016 ◽
Vol 12
(06)
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pp. 1625-1639
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In this work, we prove a converse theorem for metaplectic Eisenstein series on the [Formula: see text]th metaplectic cover of the group [Formula: see text], where [Formula: see text] is an imaginary quadratic number field containing the [Formula: see text]th roots of unity. This is an analog to previous converse theorems relating certain double Dirichlet series to the Mellin transforms of Eisenstein series of half-integer weight. We also propose a way to generalize this result to any number field.
2006 ◽
Vol 02
(04)
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pp. 569-590
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2005 ◽
Vol 8
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pp. 1-16
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1977 ◽
Vol 31
(2)
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pp. 165-171
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1980 ◽
Vol 79
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pp. 123-129
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2010 ◽
Vol 2010
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pp. 1-14
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1987 ◽
Vol 101
(3)
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pp. 417-417
1995 ◽
Vol 1995
(462)
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pp. 19-30
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