CONTENTSIntroduction and the statement of results.................................................................5Part I. Reducibility over function fields...................................................................14 1. Auxiliary results from the theory of algebraic functions....................................14 2. Determination of the range of Tables 1 and 2 (Lemmas 3-27).........................15 3. Determination of the content of Table 1 (Lemmas 28-40)................................38 4. Determination of the content of Table 2 (Lemmas 41-48)................................46 5. Proof of Theorems 1, 2 and 3..........................................................................55 6. Proof of Theorems 4 and 5..............................................................................58Part II. Reducibility over algebraic number fields and, in particular, over ℚ............61 7. Proof of Theorem 6 and of the subsequent remarks.......................................61 8. Deduction of Consequences 1-3 from Conjecture...........................................65 9. Proof of Theorems 7 and 8..............................................................................66 10. Proof of Theorem 9 and of Corollary 1..........................................................68 11. Proof of Theorem 10 and of Corollary 2........................................................75References............................................................................................................82
1991 Mathematics Subject Classification: 12E05, 12E10.
@book{bwmeta1.element.zamlynska-aa3b2a30-9a73-456e-be32-024a741a26ec,
author = {Andrzej Schinzel},
title = {On reducible trinomials},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1993},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-aa3b2a30-9a73-456e-be32-024a741a26ec}
}
Andrzej Schinzel. On reducible trinomials. GDML_Books (1993), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-aa3b2a30-9a73-456e-be32-024a741a26ec/