├── .github ├── dependabot.yml └── workflows │ ├── blueprint.yml │ ├── create-release.yml │ ├── lint.yml │ └── update-dependencies.yml ├── .gitignore ├── .vscode ├── extensions.json └── settings.json ├── CONTRIBUTING.md ├── LICENSE ├── README.md ├── blueprint ├── .gitignore └── src │ ├── .gitignore │ ├── blueprint.sty │ ├── chapter │ ├── additive_energy.tex │ ├── beta.tex │ ├── biblio.tex │ ├── brun_titchmarsh.tex │ ├── de_bruijn_newman.tex │ ├── divisor_sum.tex │ ├── exp_pair_plot.png │ ├── exponent_pairs.tex │ ├── gauss_circle.tex │ ├── gauss_circle_error_2.png │ ├── gauss_circle_error_3.png │ ├── gauss_circle_historical_bounds.png │ ├── intro.tex │ ├── l2.tex │ ├── large_values.tex │ ├── mu_bound_plot.png │ ├── notation.tex │ ├── optimized_bourgain_lv_estimate.png │ ├── prime_counting_function.tex │ ├── primes.tex │ ├── pythagorean_triples.tex │ ├── van_der_corput_beta.png │ ├── van_der_corput_beta_vs_conjectured.png │ ├── van_der_corput_vs_best_beta.png │ ├── waring-goldbach-schnirelman.tex │ ├── zero_density.tex │ ├── zero_density_L_functions.tex │ ├── zero_density_energy.tex │ ├── zero_density_energy_estimate.png │ ├── zero_density_estimate_plot.png │ ├── zero_free_region.tex │ ├── zeta_growth.tex │ ├── zeta_large_values.tex │ └── zeta_moments.tex │ ├── content.tex │ ├── extra_styles.css │ ├── latexmkrc │ ├── macros │ ├── common.tex │ ├── print.tex │ └── web.tex │ ├── plastex.cfg │ ├── print.tex │ ├── python │ ├── README.md │ ├── __init__.py │ ├── additive_energy.py │ ├── benchmarks │ │ ├── __init__.py │ │ └── benchmark_polytope.py │ ├── bound_beta.py │ ├── bound_mu.py │ ├── constants.py │ ├── derived.py │ ├── examples.py │ ├── exponent_pair.py │ ├── functions.py │ ├── helpers │ │ ├── __init__.py │ │ ├── region_helper.py │ │ └── str_helper.py │ ├── hypotheses.py │ ├── images │ │ ├── van_der_corput_beta.png │ │ └── van_der_corput_beta_vs_conjectured.png │ ├── large_values.py │ ├── literature.py │ ├── polynomial.py │ ├── polytope.py │ ├── prime_gap.py │ ├── reference.py │ ├── region.py │ ├── tests │ │ ├── __init__.py │ │ ├── test_affine2.py │ │ ├── test_all.py │ │ ├── test_exppair.py │ │ ├── test_interval.py │ │ ├── test_polynomial.py │ │ ├── test_polytope.py │ │ ├── test_rationalfunction.py │ │ └── test_region.py │ ├── transform.py │ ├── visualizations.py │ ├── zero_density_energy_estimate.py │ ├── zero_density_estimate.py │ └── zeta_large_values.py │ ├── references.bib │ └── web.tex ├── expdb.lean ├── expdb ├── Example.lean ├── ForMathlib │ └── README.md └── Mathlib │ └── README.md ├── home_page ├── 404.html ├── Gemfile ├── Gemfile.lock ├── _config.yml ├── _include │ └── mathjax.html ├── _layouts │ └── default.html ├── assets │ └── css │ │ └── style.scss └── index.md ├── lake-manifest.json ├── lakefile.toml ├── lean-toolchain └── scripts ├── update_mathlib.bat └── update_mathlib.sh /.github/dependabot.yml: -------------------------------------------------------------------------------- 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