Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harmonic analysis of random number generators   The spectral test of random number generators (R.R. Coveyou and R.D.
McPherson, 1967) is generalized. The sequence of random numbers is analyzed
explicitly, not just via their n-tupel distributions. We find that the mixed
multiplicative generator with power of two modulus does not pass the extended
test with an ideal result. Best qualities has a new generator with the
recursion formula X(k+1)=a*X(k)+c*int(k/2) mod 2^d. We discuss the choice of
the parameters a, c for very large moduli 2^d and present an implementation of
the suggested generator with d=256, a=2^128+2^64+2^32+62181, c=(2^160+1)*11463.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg