Displaying similar documents to “Tauvel's height formula in iterated differential operator rings.”

Prime ideals in semirings.

Gupta, Vishnu, Chaudhari, J.N. (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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A “class group” obstruction for the equation C y d = F ( x , z )

Denis Simon (2008)

Journal de Théorie des Nombres de Bordeaux

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In this paper, we study equations of the form C y d = F ( x , z ) , where F ∈ ℤ [ x , z ] is a binary form, homogeneous of degree n , which is supposed to be primitive and irreducible, and d is any fixed integer. Using classical tools in algebraic number theory, we prove that the existence of a proper solution for this equation implies the existence of an integral ideal of given norm in some order in a number field, and also the existence of a specific relation in the class group involving this ideal. In some cases,...

Wilson’s theorem

Chandan Singh Dalawat (2009)

Journal de Théorie des Nombres de Bordeaux

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We show how K. Hensel could have extended Wilson’s theorem from Z to the ring of integers 𝔬 in a number field, to find the product of all invertible elements of a finite quotient of 𝔬 .