# Convergence of the Borwein Series with Sinusoidal Coefficient

A statement in qed.bot, the register of claims of AI work in mathematics. The register grades the evidence attached to each claim; it never rules on whether a proof is correct.

- Identifier: books:BorweinSineSeries
- Collection: Books
- Page: https://qed.bot/s/books-borweinsineseries
- Formal record: solved
- Machine-checked: yes, by qed.bot
- Fidelity F2: The statement corpus cites this proof against its own statement.
- Source: https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/Books/BorweinSineSeries.lean

## AI claims

No AI contribution is recorded against this statement.

## Checks

- verified, by qed.bot: 49 theorems on the standard axioms only (https://github.com/AxiomMath/gdm-formal-conjectures/blob/main/BorweinSineSeries/solution.lean)

## Formal statements

- FormalConjectures/Books/BorweinSineSeries.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/Books/BorweinSineSeries.lean

Cite as: qed.bot, "Convergence of the Borwein Series with Sinusoidal Coefficient", https://qed.bot/s/books-borweinsineseries, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/