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…
<P>Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and m…
Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and math…