Euler Function
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27-8-2020
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Euler Function
The term "Euler function" may be used to refer to any of several functions in number theory and the theory of special functions, including
1. the totient function
, defined as the number of positive integers
that are relatively prime to
, where 1 is counted as being relatively prime to all numbers;
2. the function
where
and
are q-Pochhammer symbols;
3. the Euler L-function
, which is a special case of the Artin L-function for the polynomial
and is defined by
 |
(4)
|
where
with
a Legendre symbol.
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