On reducible trinomials

Andrzej Schinzel. On reducible trinomials. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1993. <http://eudml.org/doc/268481>.

@book{AndrzejSchinzel1993,
abstract = {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............................................................................................................821991 Mathematics Subject Classification: 12E05, 12E10.},
author = {Andrzej Schinzel},
keywords = {polynomial; irreducibility; Capelli; trinomial},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {On reducible trinomials},
url = {http://eudml.org/doc/268481},
year = {1993},
}

TY - BOOK
AU - Andrzej Schinzel
TI - On reducible trinomials
PY - 1993
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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............................................................................................................821991 Mathematics Subject Classification: 12E05, 12E10.
LA - eng
KW - polynomial; irreducibility; Capelli; trinomial
UR - http://eudml.org/doc/268481
ER -