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Stanley Yao Xiao
Stanley Yao Xiao
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I am trying to work on extending various methods to study square-free values of polynomials (or more generally, $k$-free values) over general rings of integers, and a literature review has yielded only one articletwo articles that seems to address this problem: a 1993 Journal of Number Theory paper by Gouvea, linked here: http://www.sciencedirect.com/science/article/pii/S0022314X83710127# and a 1989 article in the same journal, by Hinz: http://www.sciencedirect.com/science/article/pii/0022314X89900875

Are there any other papers or results in the 22 years since that studies this problem?

I am trying to work on extending various methods to study square-free values of polynomials (or more generally, $k$-free values) over general rings of integers, and a literature review has yielded only one article that seems to address this problem: a 1993 Journal of Number Theory paper by Gouvea, linked here: http://www.sciencedirect.com/science/article/pii/S0022314X83710127#

Are there any other papers or results in the 22 years since that studies this problem?

I am trying to work on extending various methods to study square-free values of polynomials (or more generally, $k$-free values) over general rings of integers, and a literature review has yielded only two articles that seems to address this problem: a 1993 Journal of Number Theory paper by Gouvea, linked here: http://www.sciencedirect.com/science/article/pii/S0022314X83710127# and a 1989 article in the same journal, by Hinz: http://www.sciencedirect.com/science/article/pii/0022314X89900875

Are there any other papers or results in the 22 years since that studies this problem?

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Stanley Yao Xiao
Stanley Yao Xiao
  • 26.9k
  • 7
  • 49
  • 143

Square-free sieve over number fields

I am trying to work on extending various methods to study square-free values of polynomials (or more generally, $k$-free values) over general rings of integers, and a literature review has yielded only one article that seems to address this problem: a 1993 Journal of Number Theory paper by Gouvea, linked here: http://www.sciencedirect.com/science/article/pii/S0022314X83710127#

Are there any other papers or results in the 22 years since that studies this problem?