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Date: 20-8-2018
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Date: 18-6-2019
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Date: 9-10-2019
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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
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(1) |
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(2) |
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(3) |
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
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(4) |
where
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(5) |
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(6) |
with a Legendre symbol.
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