DENSITY OF POWER‐FREE VALUES OF POLYNOMIALS

Author:

Lapkova Kostadinka1,Xiao Stanley Yao2

Affiliation:

1. Institute of Analysis and Number TheoryGraz University of TechnologyKopernikusgasse 24/IIGraz8010Austria

2. Department of MathematicsUniversity of TorontoBahen Centre40 St. George St., Room 6290TorontoOntarioM5S 2E4Canada

Publisher

Wiley

Subject

General Mathematics

Reference18 articles.

1. M.Bhargava The geometric sieve and the density of squarefree values of invariant polynomials.Preprint 2014 arXiv:1402.0031[math.NT].

2. Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves;Bhargava M.;Ann. of Math. (2),2015

3. M.Bhargava A.ShankarandX.Wang Squarefree values of polynomial discriminants I.Preprint 2016 arXiv:1611.09806[math.NT].

4. Power‐free values of polynomials;Browning T. D.;Arch. Math. (2),2011

5. Arithmetical properties of polynomials;Erdős P.;J. Lond. Math. Soc.,1953

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