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The intended use of this tool was not necessarily for Goldbach's conjecture. It was now widely believed in the mathematical analysis community that this concept first appeared in Hardy's research on "symptomatic analysis of integer splitting". When Hardy and Littlewood collaborated on the Hualin issue, this method was fully completed.

As an important tool for studying Goldbach's conjecture, this method had been expanded by other mathematicians.

For example, Helfgott who stood o ...

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