The Selberg trace formula for modular correspondences
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In Selberg [11], he introduced the trace formula and applied it to computations of traces of Hecke operators acting on the space of cusp forms of weight greater than or equal to two. But for the case of weight one, the similar method is not effective. It only gives us a certain expression of the dimension of the space of cusp forms by the residue of the Selberg type zeta function. Here the Selberg type zeta function appears in the contribution from the hyperbolic conjugacy classes when we write the trace formula with a certain kernel function ([3J, [4], [7], [8], [9], [12]).
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1988 ◽
Vol 111
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pp. 157-163
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1977 ◽
Vol 66
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pp. 183-202
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2010 ◽
Vol 06
(05)
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pp. 1117-1137
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1988 ◽
Vol 111
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pp. 115-129
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2009 ◽
Vol 146
(2)
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pp. 321-350
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2010 ◽
Vol 06
(04)
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pp. 767-783
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