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Totally positive polynomials with small length

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Totally positive polynomials with small length
Συγγραφείς: Flammang, V., Sac-Epee, Jean-Marc
Συνεισφορές: Sac-Epee, Jean-Marc
Στοιχεία εκδότη: De Gruyter (Sciendo), Warsaw, Polish Academy of Sciences (Polska Akademia Nauk - PAN), Systems Research Institute, Warsaw, 2019.
Έτος έκδοσης: 2019
Θεματικοί όροι: length of polynomials, Linear programming, auxiliary functions, Polynomials in number theory, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Περιγραφή: In this work we provide a list of irreducible monic polynomials with integer coefficients and lengths below 2.3679 d for a degree d polynomial. Our approach combines techniques based on auxiliary functions and mixed-integer linear programming algorithms. The list obtained shows that there are polynomials of this type up to degree 16, with the exception of degree 11 where we are very close to the threshold.
Τύπος εγγράφου: Article
Περιγραφή αρχείου: application/pdf; application/xml
Γλώσσα: English
Σύνδεσμος πρόσβασης: https://hal.science/hal-02871261v1
https://zbmath.org/7351023
Αριθμός Καταχώρησης: edsair.dedup.wf.002..04bff1e003c94574e35b64ec7c186112
Βάση Δεδομένων: OpenAIRE
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  Data: Totally positive polynomials with small length
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  Data: <searchLink fieldCode="AR" term="%22Flammang%2C+V%2E%22">Flammang, V.</searchLink><br /><searchLink fieldCode="AR" term="%22Sac-Epee%2C+Jean-Marc%22">Sac-Epee, Jean-Marc</searchLink>
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  Data: Sac-Epee, Jean-Marc
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  Data: De Gruyter (Sciendo), Warsaw, Polish Academy of Sciences (Polska Akademia Nauk - PAN), Systems Research Institute, Warsaw, 2019.
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  Data: <searchLink fieldCode="DE" term="%22length+of+polynomials%22">length of polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+programming%22">Linear programming</searchLink><br /><searchLink fieldCode="DE" term="%22auxiliary+functions%22">auxiliary functions</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomials+in+number+theory%22">Polynomials in number theory</searchLink><br /><searchLink fieldCode="DE" term="%22[MATH%2EMATH-NT]+Mathematics+[math]%2FNumber+Theory+[math%2ENT]%22">[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]</searchLink>
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  Data: In this work we provide a list of irreducible monic polynomials with integer coefficients and lengths below 2.3679 d for a degree d polynomial. Our approach combines techniques based on auxiliary functions and mixed-integer linear programming algorithms. The list obtained shows that there are polynomials of this type up to degree 16, with the exception of degree 11 where we are very close to the threshold.
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      – Text: English
    Subjects:
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        Type: general
      – SubjectFull: Linear programming
        Type: general
      – SubjectFull: auxiliary functions
        Type: general
      – SubjectFull: Polynomials in number theory
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      – SubjectFull: [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
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      – TitleFull: Totally positive polynomials with small length
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