Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

[Merged by Bors] - feat: bounds for Dirichlet characters #8449

Closed
wants to merge 8 commits into from

Conversation

MichaelStollBayreuth
Copy link
Collaborator

This adds NumberTheory.DirichletCharacter.Bounds containing proofs of ‖χ a‖ = 1 if a is a unit and ‖χ a‖ ≤ 1 in general, where χ is a Dirichlet character with values in a normed field.

There are also two API lemmas added elsewhere that are used in the proofs.


Open in Gitpod

@MichaelStollBayreuth MichaelStollBayreuth added awaiting-review The author would like community review of the PR awaiting-CI t-number-theory Number theory (also use t-algebra or t-analysis to specialize) t-algebra Algebra (groups, rings, fields etc) labels Nov 16, 2023
Copy link
Contributor

@ocfnash ocfnash left a comment

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

Thanks!

bors d+

Mathlib/Algebra/GroupPower/Order.lean Outdated Show resolved Hide resolved
Mathlib/FieldTheory/Finite/Basic.lean Outdated Show resolved Hide resolved
Mathlib/NumberTheory/DirichletCharacter/Bounds.lean Outdated Show resolved Hide resolved
@mathlib-bors
Copy link

mathlib-bors bot commented Nov 27, 2023

✌️ MichaelStollBayreuth can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added delegated and removed awaiting-review The author would like community review of the PR labels Nov 27, 2023
@MichaelStollBayreuth
Copy link
Collaborator Author

bors r+

mathlib-bors bot pushed a commit that referenced this pull request Nov 27, 2023
This adds `NumberTheory.DirichletCharacter.Bounds` containing proofs of `‖χ a‖ = 1` if `a` is a unit and `‖χ a‖ ≤ 1` in general, where `χ` is a Dirichlet character with values in a normed field.

There are also two API lemmas added elsewhere that are used in the proofs.
@mathlib-bors
Copy link

mathlib-bors bot commented Nov 27, 2023

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: bounds for Dirichlet characters [Merged by Bors] - feat: bounds for Dirichlet characters Nov 27, 2023
@mathlib-bors mathlib-bors bot closed this Nov 27, 2023
@mathlib-bors mathlib-bors bot deleted the MS_DirChar_bound branch November 27, 2023 21:23
awueth pushed a commit that referenced this pull request Dec 19, 2023
This adds `NumberTheory.DirichletCharacter.Bounds` containing proofs of `‖χ a‖ = 1` if `a` is a unit and `‖χ a‖ ≤ 1` in general, where `χ` is a Dirichlet character with values in a normed field.

There are also two API lemmas added elsewhere that are used in the proofs.
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Labels
delegated t-algebra Algebra (groups, rings, fields etc) t-number-theory Number theory (also use t-algebra or t-analysis to specialize)
Projects
None yet
Development

Successfully merging this pull request may close these issues.

None yet

5 participants