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6 changes: 3 additions & 3 deletions generated/chudnovsky_formula_for_pi_inv/README.md
Original file line number Diff line number Diff line change
Expand Up @@ -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.
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6 changes: 3 additions & 3 deletions manifests/problems.toml
Original file line number Diff line number Diff line change
Expand Up @@ -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"
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