OAI/NumberTheory/Ostmann/Characters/CharacterFunctionalEquation.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

Reflection of actual character-zero multiplicities

The library functional equation for the completed L-function is combined with the nonvanishing reciprocal Gamma factor inside the critical strip.

  1. def OAI.Ostmann.PrimitiveComplexCharacter.inverse line 16
  2. theorem OAI.Ostmann.PrimitiveComplexCharacter.inverse_modulus line 28
  3. def OAI.Ostmann.PrimitiveComplexCharacter.completed line 31
  4. def OAI.Ostmann.PrimitiveComplexCharacter.gammaInverse line 34
  5. theorem OAI.Ostmann.PrimitiveComplexCharacter.completed_analytic line 37
  6. theorem OAI.Ostmann.PrimitiveComplexCharacter.gammaInverse_analytic line 42
  7. theorem OAI.Ostmann.PrimitiveComplexCharacter.gammaInverse_ne_zero line 51
  8. theorem OAI.Ostmann.PrimitiveComplexCharacter.L_eq_completed_mul line 60
  9. theorem OAI.Ostmann.PrimitiveComplexCharacter.L_order_eq_completed line 66
  10. theorem OAI.Ostmann.PrimitiveComplexCharacter.rootNumber_ne_zero line 78