NumTheoryCon

This application includes features such as the Dirichlet convolution calculator, which can perform convolution operations on any two arithmetic functions and display intermediate processes; The number theory function library provides complete calculations for classical functions such as the M ö bius function μ, Euler function φ, divisor function σ, divisor count function d, and von Mangott function ∧; The M ö bius inversion module helps users verify convolution identities such as μ 1=ε, φ 1=id, etc., and provides real-time feedback on the verification status through intuitive progress bars and color markings; The Dirichlet series generator is capable of converting number theory functions into the corresponding generation series form; Function composite operations support multi-layer nested f (g (n)) type calculations; The function distribution analyzer provides intuitive visualization charts to show the distribution characteristics of function values in different intervals.