Zeta Functions and Modular Forms
Let X be a scheme of finite type over Spec ℤ (see §1 of Chapter 3). Then the closed points x ∈ X are those which satisfy the condition that the corresponding residue field R(x) is finite. The cardinality of R(x) is called the norm of x and is denoted by N(x). The set of all closed points of X is denoted by ̄X. For the moment we shall think of this as a discrete topological space.
KeywordsZeta Function Modular Form Elliptic Curve Eisenstein Series Cusp Form
Unable to display preview. Download preview PDF.