On Gauss' numbers

NMR experiment factors numbers with Gauss sums.

We factor the number 157573 using an NMR implementation of Gauss sums. Although the current implementation is classical and scales exponentially, we believe that an extension to the quantum regime using entangled states is possible.

Factorization of numbers with Gauss sums: I. Mathematical background

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. 4 Author to whom any correspondence should be addressed. New Journal of Physics 13 (2011) 103007 1367-2630/11/103007+37$33.00 © IOP Pu...

On Gauss sum characters of finite groups and generalized Bernoulli numbers

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On condition numbers in hp-FEM with Gauss-Lobatto Based Shape Functions

Gauss Optics and Gauss Sum on an Optical Phenomena

In the previous article (Found Phys. Lett. 16 325-341), we showed that a reciprocity of the Gauss sums is connected with the wave and particle complementary. In this article, we revise the previous investigation by considering a relation between the Gauss optics and the Gauss sum based upon the recent studies of the Weil representation for a finite group.