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      The behaviour of eigenstates of arithmetic hyperbolic manifolds

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      Communications in Mathematical Physics
      Springer Nature

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          surfaces

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            Ergodicit� et fonctions propres du laplacien

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              On construction of holomorphic cusp forms of half integral weight

              In [10], G.Shimura gave a method of constructing holomorphic cusp forms of even integral weight from given forms of half integral weight. In this paper, we try to present an inverse construction. To state our main result, some notational preliminaries are necessary. We denote by the complex upper half plane.
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                Journal
                Communications in Mathematical Physics
                Commun.Math. Phys.
                Springer Nature
                0010-3616
                1432-0916
                March 1994
                March 1994
                : 161
                : 1
                : 195-213
                Article
                10.1007/BF02099418
                eeecf790-1cf1-49c8-888a-302f804ee268
                © 1994
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