Closed geodesics, periods and arithmetic of modular forms.
Svetlana Katok (1985)
Inventiones mathematicae
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Svetlana Katok (1985)
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Hiroyuki Yoshida (1980)
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Goro Shimura (1990)
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Tomoyoshi Ibukiyama (1985)
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Goro Shimura (1988)
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Yuval Z. Flicker (1980)
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Avner Ash, David Ginzburg, S. Rallis (1993)
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Min Ho Lee (2009)
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Walter D. Neumann (1977)
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Alexandru Buium, Arnab Saha (2011)
Banach Center Publications
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We prove that some of the basic differential functions appearing in the (unramified) theory of arithmetic differential equations, especially some of the basic differential modular forms in that theory, arise from a "ramified situation". This property can be viewed as a special kind of overconvergence property. One can also go in the opposite direction by using differential functions that arise in a ramified situation to construct "new" (unramified) differential functions.