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math.NT2018
Number systems over general orders
Jan-Hendrik Evertse, Kálmán Győry, Attila Pethő +1
Let be an order, that is a commutative ring with whose additive structure is a free -module of finite rank. A generalized number system (GNS for short…
math.HO2018
Mahler's work on the geometry of numbers
Jan-Hendrik Evertse
Mahler has written many papers on the geometry of numbers. Arguably, his most influential achievements in this area are his compactness theorem for lattices, his work on star bodie…
math.HO2018
Mahler's work on Diophantine equations and subsequent developments
Jan-Hendrik Evertse, Kálmán Győry, Cameron L. Stewart
We discuss Mahler's work on Diophantine approximation and its applications to Diophantine equations, in particular Thue-Mahler equations, S-unit equations and S-integral points on…