The Fibonacci hash, on the other hand, uses the golden ratio rather than the modulo function to map the final location of the data, resulting in many fewer instances of collisions like these while ...

Going through the math that [Malte] goes over in his paper shows that, at least as far as performing the mapping part of a hash function, the Fibonacci hash performs much better than integer modulo.

Scott Ahlgren, Matthew Boylan, Central Critical Values of Modular L-Functions and Coefficients of Half-Integral Weight Modular Forms Modulo l, American Journal of Mathematics, Vol. 129, No. 2 (Apr., ...