Meaning of fourth-power-free integer?
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In a paper on Elliptic curves, there is the term, 'fourth-power-free integer', what does it mean? Is it something like square free integer?
number-theory
asked Dec 4 '18 at 1:17
ershersh
315112
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add a comment |
$begingroup$
In a paper on Elliptic curves, there is the term, 'fourth-power-free integer', what does it mean? Is it something like square free integer?
number-theory
asked Dec 4 '18 at 1:17
ershersh
315112
$endgroup$
2
$begingroup$
Not divisible by the fourth power of an integer (except $pm 1$).
$endgroup$
– T. Bongers
Dec 4 '18 at 1:19
add a comment |
$begingroup$
In a paper on Elliptic curves, there is the term, 'fourth-power-free integer', what does it mean? Is it something like square free integer?
number-theory
asked Dec 4 '18 at 1:17
ershersh
315112
$endgroup$
In a paper on Elliptic curves, there is the term, 'fourth-power-free integer', what does it mean? Is it something like square free integer?
number-theory
number-theory
asked Dec 4 '18 at 1:17
ershersh
315112
asked Dec 4 '18 at 1:17
ershersh
315112
asked Dec 4 '18 at 1:17
ershersh
315112
asked Dec 4 '18 at 1:17
ershersh
315112
asked Dec 4 '18 at 1:17
ershersh
315112
315112
2
$begingroup$
Not divisible by the fourth power of an integer (except $pm 1$).
$endgroup$
– T. Bongers
Dec 4 '18 at 1:19
add a comment |
2
$begingroup$
Not divisible by the fourth power of an integer (except $pm 1$).
$endgroup$
– T. Bongers
Dec 4 '18 at 1:19
2
2
$begingroup$
Not divisible by the fourth power of an integer (except $pm 1$).
$endgroup$
– T. Bongers
Dec 4 '18 at 1:19
$begingroup$
Not divisible by the fourth power of an integer (except $pm 1$).
$endgroup$
– T. Bongers
Dec 4 '18 at 1:19
add a comment |
1 Answer
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Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 '18 at 1:19
Eevee TrainerEevee Trainer
5,4691936
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$begingroup$
Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 '18 at 1:19
Eevee TrainerEevee Trainer
5,4691936
$endgroup$
add a comment |
$begingroup$
Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 '18 at 1:19
Eevee TrainerEevee Trainer
5,4691936
$endgroup$
add a comment |
$begingroup$
Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 '18 at 1:19
Eevee TrainerEevee Trainer
5,4691936
$endgroup$
Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 '18 at 1:19
Eevee TrainerEevee Trainer
5,4691936
answered Dec 4 '18 at 1:19
Eevee TrainerEevee Trainer
5,4691936
answered Dec 4 '18 at 1:19
Eevee TrainerEevee Trainer
5,4691936
answered Dec 4 '18 at 1:19
Eevee TrainerEevee Trainer
5,4691936
5,4691936
add a comment |
add a comment |
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2
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Not divisible by the fourth power of an integer (except $pm 1$).
$endgroup$
– T. Bongers
Dec 4 '18 at 1:19