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20112026
most citedEffective results for unit equations over finitely generated domains

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math.NT2011★ 2 cited

Effective results for unit equations over finitely generated domains

Jan-Hendrik Evertse, Kálmán Győry

Let A be a commutative domain containing Z which is finitely generated as a Z-algebra, and let a,b,c be non-zero elements of A. It follows from work of Siegel, Mahler, Parry and La…

math.NT2011

Multiply monogenic orders

Attila Bérczes, Jan-Hendrik Evertse, Kálmán Győry

Let O be an order in an algebraic number field K, i.e., a ring with quotient field K which is contained in the ring of integers of K. The order O is called monogenic, if it is of t…