Number fields: supporting proofs

Course contents

Supporting treatments of adèles, Fourier analysis, Mellin transforms, zeta functions and Dirichlet characters. Each source retains its authorship, citations and prerequisite statements.

  1. Tate's local theory at the infinite places — editable source · reader
  2. Tate's global theory: continuation and functional equation — editable source · reader
  3. Hecke L-functions and the Dedekind zeta function — editable source · reader
  4. Gauss sums — editable source · reader
  5. Idèles and the idèle class group — editable source
  6. Additive characters, self-dual measures and Poisson summation on the adèles — editable source
  7. Quasi-characters and Hecke characters — editable source
  8. Tate's local theory at the finite places — editable source
  9. Dirichlet characters — editable source