Factorization of numbers with Gauss sums: I. Mathematical background

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Abstract

We use the periodicity properties of generalized Gauss sums to factor numbers. Moreover, we derive rules for finding the factors and illustrate this factorization scheme for various examples. This algorithm relies solely on interference and scales exponentially. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.

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Wölk, S., Merkel, W., Schleich, W. P., Sh Averbukh, I., & Girard, B. (2011). Factorization of numbers with Gauss sums: I. Mathematical background. New Journal of Physics, 13. https://doi.org/10.1088/1367-2630/13/10/103007

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