User:Linus44
Things to do:
Contents |
Rings, properties, equivalent definitions
Definition:Unique Factorization Domain:
etc...needs organizing into something more standardized
The rest
- Vinogradov's Theorem: Pick a method of proof and think of a good structure for it.
- Figure out conditions for the "function-form epimorphism" to have trivial kernel (see Epimorphism from Polynomial Forms to Polynomial Functions and especially Equality of Polynomials)
Proof of prime number theorem and Siegel Walfiz
See also stuff on Dirichlet's Theorem
Harmonic Properties of Schwarz Functions
Hadamard Factorisation Theorem
Definition:Completed Riemann Zeta Function
Uniform Limit of Analytic Functions is Analytic
Properties of the Gamma Function
Stirling's Formula for the Gamma Function
Definition:Order of an Entire Function
Completed Riemann Zeta Function has Order One
Product Equation for Riemann Zeta Function
Zeros of Functions of Finite Order
Poles of Riemann Zeta Function
Riemann Zeta Has No Zeros With Real Part One
Unsymmetric Functional Equation for Riemann Zeta Function
Dirichlet: Finished, but check for errors
Analytic Continuation of Dirichlet L-Functions
L-functions Do Not Vanish at One
Logarithm of Dirichlet L-Functions
Dirichlet's Theorem on Arithmetic Progressions
Dirichlet L-Function from Trivial Character
Convergence of Dirichlet Series with Bounded Coefficients
Convergence of Dirichlet Series with Bounded Partial Sums
Definition:Dirichlet L-function
Definition:Dirichlet Character
Definition:Completed Dirichlet L-Function
Functional Equation for Dirichlet L-Functions
Orthogonality Relations for Characters
Unfinished Pages
Completeness Criterion (Metric Spaces)
Equivalence of Riemann Zeta Function Definitions
Hardy-Littlewood Circle Method
Characterisation of Totally Ordered Fields
