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?






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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
















0












$begingroup$


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







share|cite|improve this question









$endgroup$








  • 2




    $begingroup$
    Not divisible by the fourth power of an integer (except $pm 1$).
    $endgroup$
    – T. Bongers
    Dec 4 '18 at 1:19














0












0








0





$begingroup$


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







share|cite|improve this question









$endgroup$




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






share|cite|improve this question













share|cite|improve this question











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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














  • 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










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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.






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    active

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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.






    share|cite|improve this answer









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      3












      $begingroup$

      Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.






      share|cite|improve this answer









      $endgroup$
















        3












        3








        3





        $begingroup$

        Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.






        share|cite|improve this answer









        $endgroup$



        Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 4 '18 at 1:19









        Eevee TrainerEevee Trainer

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