diff --git a/generated/chudnovsky_formula_for_pi_inv/README.md b/generated/chudnovsky_formula_for_pi_inv/README.md index 712fdee..962cf63 100644 --- a/generated/chudnovsky_formula_for_pi_inv/README.md +++ b/generated/chudnovsky_formula_for_pi_inv/README.md @@ -5,9 +5,9 @@ Chudnovsky formula for pi inverse - Problem ID: `chudnovsky_formula_for_pi_inv` - Test Problem: no - Submitter: Kim Morrison -- Notes: Uses the existing Mathlib definition of the Chudnovsky series and asks for the missing identity with pi inverse. -- Source: https://link.springer.com/article/10.1007/s40316-018-0102-6 -- Informal solution: Evaluate the Chudnovsky series and prove that it sums to 1 / pi. +- Notes: Uses the existing Mathlib definition of the Chudnovsky series and asks for the missing identity with pi inverse. The Chudnovsky formula states 1/π = (12 / 640320^(3/2)) · ∑_{n=0}^∞ (-1)^n · (6n)! · (545140134·n + 13591409) / ((3n)! · (n!)^3 · 640320^(3n)). +- Source: https://arxiv.org/abs/1809.00533 +- Informal solution: Prove that the Chudnovsky series 1/π = (12 / 640320^(3/2)) · ∑_{n=0}^∞ (-1)^n · (6n)! · (545140134·n + 13591409) / ((3n)! · (n!)^3 · 640320^(3n)) holds, e.g. following Milla's detailed complex-analytic proof. Do not modify `Challenge.lean` or `Solution.lean`. Those files are part of the trusted benchmark and fixed by the repository. diff --git a/manifests/problems.toml b/manifests/problems.toml index 0bc4664..d0d66c4 100644 --- a/manifests/problems.toml +++ b/manifests/problems.toml @@ -40,9 +40,9 @@ test = false module = "LeanEval.Analysis.Chudnovsky" holes = ["chudnovsky_formula_for_pi_inv"] submitter = "Kim Morrison" -notes = "Uses the existing Mathlib definition of the Chudnovsky series and asks for the missing identity with pi inverse." -source = "https://link.springer.com/article/10.1007/s40316-018-0102-6" -informal_solution = "Evaluate the Chudnovsky series and prove that it sums to 1 / pi." +notes = "Uses the existing Mathlib definition of the Chudnovsky series and asks for the missing identity with pi inverse. The Chudnovsky formula states 1/π = (12 / 640320^(3/2)) · ∑_{n=0}^∞ (-1)^n · (6n)! · (545140134·n + 13591409) / ((3n)! · (n!)^3 · 640320^(3n))." +source = "https://arxiv.org/abs/1809.00533" +informal_solution = "Prove that the Chudnovsky series 1/π = (12 / 640320^(3/2)) · ∑_{n=0}^∞ (-1)^n · (6n)! · (545140134·n + 13591409) / ((3n)! · (n!)^3 · 640320^(3n)) holds, e.g. following Milla's detailed complex-analytic proof." [[problem]] id = "pi1_circle_mulEquiv_int"