Recently, there are many papers on the Dedekind sums which are related to elliptic modular functions, geometry (lattice point enumeration in polytopes, topology (signature defects of manifolds), algorithmic complexity (pseudo random number generators), character theory, the family of zeta functions, the Bernoulli functions, and other special functions.
(1) This constant appears in different mathematical subjects, such as number theory, special functions, random matrix theory, random permutations, and mathematical physics, among many others.
Now, we will select one of these eligible diagonal queues, using chaos theory of random number generation.
We will also select one of the N blocks and sub-blocks using chaos theory of random number generation.
Euler's result leads to the number theory result that the probability of two random numbers being relatively prime (that is, having no shared factors) is equal to \scriptstyle 6/ \pi^2.
"It's just a random number".
Modern number theory is a broad subject that is classified into subheadings such as elementary number theory, algebraic number theory, analytic number theory, geometric number theory, and probabilistic number theory.
Along with classical and analytic number theory, scholars now explored specialized subfields such as algebraic number theory, geometric number theory, and combinatorial number theory.
See algebra; analysis; arithmetic; combinatorics; game theory; geometry; number theory; numerical analysis; optimization; probability theory; set theory; statistics; trigonometry.
"No one is going to remember a random number or a random list of words," Mullen told me.
