Tools for creation of \(p\)-adic elements - $p$-adics

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# Tools for creation of \(p\)-adic elements

The functions in this file are used in creating new \(p\)-adic elements.

When creating a \(p\)-adic element, the user can specify that the absolute precision be bounded and/or that the relative precision be bounded. Moreover, different \(p\)-adic parents impose their own bounds on the relative or absolute precision of their elements. The precision determines to what power of \(p\) the defining data will be reduced, but the valuation of the resulting element needs to be determined before the element is created. Moreover, some defining data can impose their own precision bounds on the result.

AUTHORS:

- David Roe (2012-03-01)