Analytic Arithmetic of Algebraic Function Fields |
Contents
Introduction | 1 |
Additive Arithmetical Semigroups Satisfying Axiom A | 5 |
The Generating Function | 18 |
Copyright | |
13 other sections not shown
Common terms and phrases
absolutely convergent abstract prime number additive arithmetical semigroup algebraic function fields algebraic number fields analogous analytic function analytic number theory arithmetical functions arithmetical semigroup satisfying asymptotic density asymptotic formula average value C₂ c₂(N cardinal q categories F coefficients conclusion consequences of Axiom context coprime D-algebra deduce discussed divisor function E G of degree elements of degree equation estimate Example 1.5 follows function on G Fz(y GF q GF q,t GF(q GFI q Hence implies indecomposable modules isomorphic k-tuples Lemma lim sup log f(a maximum order Möbius function modules in F monic non-isomorphic number fields number of elements order of magnitude PIM-function polynomial ring positive integer power series prime number theorem prime-power proof of Theorem Proposition satisfies Axiom A# semigroup satisfying Axiom subject to Axiom Theorem 3.1 total number zeta function