Formulae for the singularities at infinity of plane algebraic curves.
Gwoździewicz, Janusz, Płoski, Arkadiusz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Gwoździewicz, Janusz, Płoski, Arkadiusz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Sȩkalski, Maciej (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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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 the unique extension of d to k(x,y). We prove that if ker d ≠ k, then ker = (ker d)0, where (ker d)0 is the field of fractions of ker d.
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 + terms of degree < m+n.
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).
Ayad, Ali (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Maria Frontczak, Przemysław Skibiński, Stanisław Spodzieja (1999)
Colloquium Mathematicae
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Bernard de Mathan (1992)
Acta Arithmetica
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In this paper, we study rational approximations for algebraic functions in characteristic p > 0. We obtain results for elements satisfying an equation of the type , where q is a power of p.
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 of the positive divisor classes in case the number field has exceptional dyadic places. As an application, we compute the 2-rank of the wild kernel in .