Academic Journal
Totally positive polynomials with small length
| 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 |
| Η περιγραφή δεν είναι διαθέσιμη |