The set of solutions of a polynomial-exponential equation

• Autorzy: Scott Ahlgren
• Języki publikacji: EN

Kategorie tematyczne

• 11D61: Exponential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998-1999
• Tom: 87
• Numer: 3
• Strony: 189-207

Daty

wydano

1999

otrzymano

1995-12-07

poprawiono

1998-07-28

Twórcy

autor

Scott Ahlgren

• Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802-6401, U.S.A.

Bibliografia

• [1] J. W. S. Cassels, An Introduction to the Geometry of Numbers, Grundlehren Math. Wiss. 99, Springer, 1959.
• [2] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401.
• [3] M. Laurent, Équations diophantiennes exponentielles, Invent. Math. 78 (1984), 299-327.
• [4] M. Laurent, Équations exponentielles-polynômes et suites récurrentes linéaires, II, J. Number Theory 31 (1989), 24-53.
• [5] H. P. Schlickewei, Lower bounds for heights on finitely generated groups, Monatsh. Math. 123 (1997), 171-178.
• [6] H. P. Schlickewei and W. M. Schmidt, On polynomial-exponential equations, Math. Ann. 296 (1993), 339-361.
• [7] H. P. Schlickewei and W. M. Schmidt, The number of solutions of polynomial-exponential equations, Compositio Math., to appear.