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PadicNumber * PadicNumber -- multiply p-adic numbers

Operator: *
Usage:

x * y
Inputs:
- x, a p-adic number,
- y, a p-adic number,
Outputs:
- a p-adic number, the product of x and y;

Description

Multiply two $p$-adic numbers.

i1 : QQ_7 3 * QQ_7 5

o1 = 1 + 2*7^1

o1 : QQ  (of precision 20)
       7

If one of the arguments is an ordinary number, it is first promoted to the appropriate $p$-adic field.

i2 : QQ_7 3 * 5

o2 = 1 + 2*7^1

o2 : QQ  (of precision 20)
       7

i3 : 4 * QQ_7 3

o3 = 5 + 1*7^1

o3 : QQ  (of precision 20)
       7

See also

PadicNumber + PadicNumber -- add p-adic numbers

Menu

PadicNumber / PadicNumber -- divide p-adic numbers
inverse(PadicNumber) -- multiplicative inverse of a p-adic number

Ways to use this method:

Number * PadicNumber
PadicNumber * Number
PadicNumber * PadicNumber -- multiply p-adic numbers

The source of this document is in Padic.m2:671:0.