Multiplicative relations in number fields

DOI10.1017/S0004972700023042zbMath0335.10023OpenAlexW2002742191MaRDI QIDQ4101903

Alfred J. van der Poorten, John H. Loxton

Publication date: 1977

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700023042

Mathematics Subject Classification ID

Units and factorization (11R27) Diophantine inequalities (11D75) Transcendence (general theory) (11J81)

Related Items

On the divisibility of the class number of the imaginary quadratic field ℚ ( $$\sqrt {a^2 - 4k^n } $$ ) ⋮ On abelian points of varieties intersecting subgroups in a torus ⋮ Relations of linear dependence between the logarithms of algebraic numbers ⋮ On multiplicatively dependent vectors of algebraic numbers ⋮ Sur les entiers qui s'écrivent simplement en différentes bases. (On integers simply represented in different bases) ⋮ Lower bounds for heights on elliptic curves ⋮ Unnamed Item ⋮ Multiplicative dependence of the translations of algebraic numbers ⋮ On the number of integer polynomials with multiplicatively dependent roots ⋮ Linear forms in two logarithms and Schneider's method ⋮ On polynomials with integer coefficients and given discriminant. V 175-1175-1175-1generalizations ⋮ Effective results for linear equations in members of two recurrence sequences ⋮ On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010)

Cites Work

• A refinement of two theorems of Kronecker
• On a fundamental inequality in number theory