Add the Hardy--Littlewood bound mu(1/2) <= 1/6 to the literature - #202
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Add the Hardy--Littlewood bound mu(1/2) <= 1/6 to the literature#202Chessing234 wants to merge 1 commit into
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The zeta growth chapter lists Hardy--Littlewood (1923) as the first entry of the mu(1/2) table, but the Python literature set has no such hypothesis: the critical-line list starts at Walfisz (1924), and the two generated sequences both start at n = 4, which is past the term that gives sigma = 1/2. Everything that asks for it therefore fails. literature.add_bounds_mu_classic adds None to the hypothesis set, and derived.prove_hardy_littlewood_mu_bound and examples.mu_bound_examples both die on "'NoneType' object has no attribute 'desc'". With the entry in place, prove_hardy_littlewood_mu_bound reproves the bound from the trivial exponent pair via B then A, exactly as the blueprint describes.
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The zeta growth chapter opens its μ(1/2) table with Hardy--Littlewood (1923), μ(1/2) ≤ 1/6, from the exponent pair (1/6, 2/3). The Python
literatureset has no such hypothesis: the critical-line list starts at Walfisz (1924), and both generated sequences (van der Corput and Hardy--Littlewood) start at n = 4, one term past the σ = 1/2 member.Everything that asks for that bound is broken as a result:
literature.add_bounds_mu_classicaddsNoneto the hypothesis set;derived.prove_hardy_littlewood_mu_boundandexamples.mu_bound_examplesboth raiseAttributeError: 'NoneType' object has no attribute 'desc'.One entry, citing
hardy_littlewood_1923which is already in references.bib.After it,
derived.prove_hardy_littlewood_mu_bound()runs and reproves the bound the way the blueprint describes:tests/test_exppair.py,tests/test_ep_to_zd.pyandtests/test_region.pystill pass with the extra hypothesis in the set. (tests/test_all.pyas a whole does not run on main; that is #200.)