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Counting Type I and Type II solutions of the Erdos-Straus equation: concentration, local obstructions, and a pointwise comparison

Jiang, Xinyang
arXiv (OAI Expanded) · Papers
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general-mathematics
For a prime p >= 5 let f_I(p) and f_II(p) count the Type I and Type II solutions of the Erdos-Straus equation 4/p = 1/x + 1/y + 1/z, in the sense of Elsholtz and Tao. We do not address the Erdos-Straus conjecture itself; our subject is the number of solutions. We turn a bijection of Bradford into
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