The Selberg trace formula as a Dirichlet series
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AbstractWe explore an idea of Conrey and Li of expressing the Selberg trace formula as a Dirichlet series. We describe two applications, including an interpretation of the Selberg eigenvalue conjecture in terms of quadratic twists of certain Dirichlet series, and a formula for an arithmetically weighted sum of the complete symmetric square
1978 ◽
Vol 84
(2)
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pp. 256-261
1988 ◽
Vol 64
(10)
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pp. 387-388
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2013 ◽
Vol 47
(4)
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pp. 290-301
1996 ◽
pp. 147-187
1986 ◽
Vol 24
(2)
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pp. 127-133
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1977 ◽
Vol 29
(6)
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pp. 1292-1299
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