J. Snellman

Truncations of the ring of number-theoretic functions, revisited

Let K be a field containing Q, let Γ be the ring of all functions N+ → K under Dirichlet convolution, and let Γn be its truncation to functions supported on [1, n]. In [9] it was shown that Γn is a polynomial ring modulo a monomial ideal In which is stable after reversing the order of the variables, and the Poincaré–Be...