We construct a family of approximations of the Riemann zeta-function and a closely related function formed from finite Euler products, the pole of the zeta-function, and any zeros the zeta-function ...

The purpose of this paper is to investigate the asymptotic behavior of automorphism groups of function fields when genus tends to infinity. Motivated by applications in coding and cryptography, we ...

The universe's spatial geometry, which can be flat, negatively curved (open), or positively curved (closed), dictates whether its size is finite or infinite. A positively curved universe is finite; a ...