Displaying similar documents to “Non-zero constant Jacobian polynomial maps of ²

On the algebra of constants of polynomial derivations in two variables

Janusz Zieliński (2000)

Colloquium Mathematicae

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Let d be a k-derivation of k[x,y], where k is a field of characteristic zero. Denote by d ˜ the unique extension of d to k(x,y). We prove that if ker d ≠ k, then ker d ˜ = (ker d)0, where (ker d)0 is the field of fractions of ker d.

Jung's type theorem for polynomial transformations of ℂ²

Sławomir Kołodziej (1991)

Annales Polonici Mathematici

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We prove that among counterexamples to the Jacobian Conjecture, if there are any, we can find one of lowest degree, the coordinates of which have the form x m y n + terms of degree < m+n.

Multiplicity estimate for solutions of extended Ramanujan’s system

Evgeniy Zorin (2012)

Journal de Théorie des Nombres de Bordeaux

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We establish a new for solutions of a differential system extending Ramanujan’s classical differential relations. This result can be useful in the study of arithmetic properties of values of Riemann zeta function at odd positive integers (Nesterenko, 2011).

Computation of 2-groups of positive classes of exceptional number fields

Jean-François Jaulent, Sebastian Pauli, Michael E. Pohst, Florence Soriano–Gafiuk (2008)

Journal de Théorie des Nombres de Bordeaux

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We present an algorithm for computing the 2-group 𝒞 F p o s of the positive divisor classes in case the number field F has exceptional dyadic places. As an application, we compute the 2-rank of the wild kernel W K 2 ( F ) in K 2 ( F ) .