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Discrete exponential two-cycle, self-power, and collision counting conjectures
For a prime $p$ , consider the two-cycle equations … the self-power equation $x^x\equiv c\pmod p$ for fixed $c$ , and the collision equation … Here $T(p)$ counts solutions to the two…
Conjecturesolveddiscrete-exponential-functions number-theory self-power-congruencesarXiv posted 2 days ago

Discrete exponential two-cycle, self-power, and collision counting conjectures