# Background

This section provides mathematical foundations for the experiments.

```{toctree}
 :maxdepth: 1

background/cheat-sheet

background/arithmetic-functions
background/average-orders-and-erdos-kac
background/carmichael-numbers
background/carmichael-lambda-function
background/dirichlet-characters
background/dirichlet-convolution
background/dirichlet-eta-function
background/dirichlet-l-functions
background/divisibility-and-modular-arithmetic
background/divisor-functions
background/eulers-prime-generating-polynomial
background/euler-totient-function
background/explicit-formula-and-chebyshev
background/exploratory-visualizations
background/factorization-pipelines
background/fermat-numbers
background/gauss-sums
background/gram-points-and-zero-counting
background/hardy-z-function
background/heegner-numbers
background/jordan-totient-function
background/landaus-problems
background/liouville-function
background/mersenne-primes
background/mobius-and-mertens
background/partition-function
background/perfect-numbers
background/pretentious-number-theory
background/primality-testing
background/prime-counting-approximations
background/prime-counting-bounds
background/omega-functions
background/prime-number-races
background/prime-numbers
background/primes-in-arithmetic-progressions
background/primorials
background/quadratic-polynomials
background/riemann-zeta-function
background/semiprimes
background/taylor-series
background/von-mangoldt-and-chebyshev
background/wieferich-primes

```