padicValuation -- The p-adic valuation

Usage:

v = padicValuation(p)
Inputs:
- p, an integer, a prime
Outputs:
- v, an instance of the type Valuation, p-adic valuation using prime p

Description

This function constructs a valuation which returns the number of times that $p$ divides the numerator minus the number of times that $p$ divides the denominator.

i1 : v = padicValuation 7;

i2 : v 98

o2 = 2

i3 : v (2/7)

o3 = -1

i4 : v 0

o4 = infinity

o4 : InfiniteNumber

i5 : v (-42)

o5 = 1

Ways to use padicValuation:

padicValuation(ZZ)

For the programmer

The object padicValuation is a method function.

The source of this document is in Valuations.m2:525:0.

padicValuation -- The p-adic valuation

Description

See also

Ways to use padicValuation:

For the programmer