# On equation in S-units and the Thue-Mahler equation.

Inventiones mathematicae (1984)

- Volume: 75, page 561-584
- ISSN: 0020-9910; 1432-1297/e

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topEvertse, J.H.. "On equation in S-units and the Thue-Mahler equation.." Inventiones mathematicae 75 (1984): 561-584. <http://eudml.org/doc/143111>.

@article{Evertse1984,

author = {Evertse, J.H.},

journal = {Inventiones mathematicae},

keywords = {equations in S-units; Thue-Mahler equation; Archimedean valuations; binary form of degree n; generalisation of Ramanujan-Nagell equation; height functions},

pages = {561-584},

title = {On equation in S-units and the Thue-Mahler equation.},

url = {http://eudml.org/doc/143111},

volume = {75},

year = {1984},

}

TY - JOUR

AU - Evertse, J.H.

TI - On equation in S-units and the Thue-Mahler equation.

JO - Inventiones mathematicae

PY - 1984

VL - 75

SP - 561

EP - 584

KW - equations in S-units; Thue-Mahler equation; Archimedean valuations; binary form of degree n; generalisation of Ramanujan-Nagell equation; height functions

UR - http://eudml.org/doc/143111

ER -

## Citations in EuDML Documents

top- Enrico Bombieri, On the Thue-Mahler equation II
- F. Beukers, H. P. Schlickewei, The equation x+y=1 in finitely generated groups
- Dimitrios Poulakis, The number of solutions of the Mordell equation
- Florian Luca, Volker Ziegler, A note on the number of $S$-Diophantine quadruples
- K. Györy, C. L. Stewart, R. Tijdeman, On prime factors of sums of integers I
- K. Győry, A. Sárközy, On prime factors of integers of the form (ab+1)(bc+1)(ca+1)
- Jan-Hendrik Evertse, An improvement of the quantitative subspace theorem
- N. Tzanakis, B. M. M. de Weger, How to explicitly solve a Thue-Mahler equation
- J. H. Evertse, K. Györy, On the numbers of solutions of weighted unit equations
- J. H. Evertse, K. Györy, Lower bounds for resultants, I

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