Perfectoid spaces are a recent development that have developed into a key technique in arithmetic geometry. One of their key features is that they can be used to study arithmetic and geometric in ...

Arithmetic geometry of curves stands at the crossroads of algebraic geometry and number theory, ... Explicit quadratic Chabauty over number fields. Israel Journal of Mathematics (2021). [4] ...

Assuming the existence of a unique global minimum, the existence of a bounded connected sub-level set of the function and that the Hessian is non-zero in the interior of this set, our main results are ...

Abstract: The common recursive structure of a number of basic arithmetic operators is investigated. Previously, it was shown that fully combinational leading-digit N-bit detector circuits could be ...

Decision procedures exists for many specialized logical domains as well as for many data structures frequently appearing in programs. Programs, even very simple kind, however, often involve multiple ...

Most existing neural models solve arithmetic word problems from explicit problem text. However, ... (AWPs) with implicit knowledge. Given an AWP, the model effectively identifies and represents its ...