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Do you know any paper focusing on the statistical science and math behind lottery and number guessing games? I am creating a new one, where the winning numbers are known in advance, and the gain is known in advance: it is a function of the distance between your guess and the winning number.

I created what I believe is a new system (see my article New Stock Trading and Lottery Game Rooted in Deep Math), but could not find any related papers that I can cite. My system is based on number theory and stochastic processes.

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