primenumbertheoremand

blueprint for prime number theorem and more

https://github.com/alexkontorovich/primenumbertheoremand

Science Score: 44.0%

This score indicates how likely this project is to be science-related based on various indicators:

  • CITATION.cff file
    Found CITATION.cff file
  • codemeta.json file
    Found codemeta.json file
  • .zenodo.json file
    Found .zenodo.json file
  • DOI references
  • Academic publication links
  • Academic email domains
  • Institutional organization owner
  • JOSS paper metadata
  • Scientific vocabulary similarity
    Low similarity (11.3%) to scientific vocabulary
Last synced: 6 months ago · JSON representation ·

Repository

blueprint for prime number theorem and more

Basic Info
  • Host: GitHub
  • Owner: AlexKontorovich
  • License: apache-2.0
  • Language: Lean
  • Default Branch: main
  • Size: 3.16 MB
Statistics
  • Stars: 181
  • Watchers: 9
  • Forks: 39
  • Open Issues: 1
  • Releases: 0
Created about 2 years ago · Last pushed 7 months ago
Metadata Files
Readme License Citation

README.md

PrimeNumberTheoremAnd

The objective of this project is to formalize in Lean the Prime Number Theorem (with classical error term), as well as related results such as the Prime Number Theorem in Arithmetic Progressions. A stretch goal would be to obtain the Chebotarev density theorem.

Zulip

The project is coordinated via a Lean Zulip channel.

Blueprint

This project has a blueprint, which is available at https://AlexKontorovich.github.io/PrimeNumberTheoremAnd/web/.

To use the tool, first install local requirements using sh pip install -r blueprint/requirements.txt

Then compile documentations using make blueprint in the top-level directory. Alternatively, if the PDF is needed, type sh cd blueprint make pdf

Use of LaTeX inside Lean

For those using github's copilot (free for educators), it's very convenient to have the natural language statements right next to the Lean to be formalized. So we write the blueprint TeX right in the *.lean document, separated by delimiters /-%% text here %%-/ for multi-line and --%% text here for single-line TeX. The code automatically scrapes these and populates the blueprint accordingly.

Quick contributions via gitpod

If you want to quickly contribute to the project without installing your own copy of lean, you can do so using gitpod. Simply visit: https://gitpod.io/new/#https://github.com/AlexKontorovich/PrimeNumberTheoremAnd/, or click the button below:

Open in Gitpod

All the required dependencies will be loaded (this takes a few minutes), after which you will be brought to a web-based vscode window, where you can edit the code, and submit PR's.

Owner

  • Login: AlexKontorovich
  • Kind: user

Citation (CITATION.cff)

cff-version: 1.2.0
message: >
  If you use this project in your work, please cite it using the metadata below.
title: "Prime Number Theorem and More"
version: 0.1.0
date-released: 2024-01-09
authors:
  - family-names: Kontorovich
    given-names: Alex
    orcid: https://orcid.org/0000-0001-7626-8319
  - family-names: Tao
    given-names: Terence
    orcid: https://orcid.org/0000-0002-0140-7641
repository-code: https://github.com/AlexKontorovich/PrimeNumberTheoremAnd
url: https://github.com/AlexKontorovich/PrimeNumberTheoremAnd
abstract: >
  A collaborative research exposition on the Prime Number Theorem and related topics in analytic number theory, 
  organized by Alex Kontorovich and Terence Tao. Launched January 9, 2024, and ongoing.
keywords:
  - number theory
  - analytic number theory
  - prime number theorem
  - collaborative mathematics
  - expository project

GitHub Events

Total
  • Watch event: 46
  • Delete event: 2
  • Issue comment event: 24
  • Push event: 329
  • Pull request review comment event: 29
  • Pull request review event: 129
  • Pull request event: 250
  • Fork event: 12
  • Create event: 8
Last Year
  • Watch event: 46
  • Delete event: 2
  • Issue comment event: 24
  • Push event: 329
  • Pull request review comment event: 29
  • Pull request review event: 129
  • Pull request event: 250
  • Fork event: 12
  • Create event: 8

Issues and Pull Requests

Last synced: 7 months ago

All Time
  • Total issues: 2
  • Total pull requests: 331
  • Average time to close issues: about 1 hour
  • Average time to close pull requests: 1 day
  • Total issue authors: 2
  • Total pull request authors: 30
  • Average comments per issue: 0.0
  • Average comments per pull request: 0.09
  • Merged pull requests: 256
  • Bot issues: 0
  • Bot pull requests: 0
Past Year
  • Issues: 1
  • Pull requests: 157
  • Average time to close issues: about 1 hour
  • Average time to close pull requests: 1 day
  • Issue authors: 1
  • Pull request authors: 19
  • Average comments per issue: 0.0
  • Average comments per pull request: 0.12
  • Merged pull requests: 111
  • Bot issues: 0
  • Bot pull requests: 0
Top Authors
Issue Authors
  • AlexKontorovich (1)
  • ianjauslin-rutgers (1)
Pull Request Authors
  • AlexKontorovich (84)
  • Ruben-VandeVelde (37)
  • llllvvuu (26)
  • ianjauslin-rutgers (24)
  • VladaSedlacek (24)
  • teorth (22)
  • ajirving (21)
  • vbeffara (17)
  • emo916math (11)
  • pitmonticone (9)
  • modderme123 (7)
  • FLDutchmann (7)
  • prestontranbarger (6)
  • grhkm21 (4)
  • ultronozm (4)
Top Labels
Issue Labels
Pull Request Labels

Dependencies

.github/workflows/push.yml actions
  • actions/checkout v4 composite
  • actions/configure-pages v4 composite
  • actions/deploy-pages v3 composite
  • actions/setup-python v5 composite
  • actions/upload-pages-artifact v2 composite
blueprint/requirements.txt pypi