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In this paper we explore a relationship that exists between the classical cusp form for subgroups of finite index in [italic]SL₂([double-struck capital]Z) and certain differential equations, and we develop a connection between the equation's monodromy representation and the spec…
In the book, the author studies the Dirichlet series whose coefficients are the number of orders of a quartic field with given indices. We give an explicit expression of the Dirichlet series. Using this expression, its analytic properties are deduced. We present an asymptotic fo…
