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The class number one problem for the non-abelian normal CM-fields of degree 16

100%

Louboutin S.

Acta Arithmetica

1997

tom 82

nr 2

173-196

On the periodicity of trigonometric functions generalized to quotient rings of R[x]

88%

Gauthier C.

Open Mathematics

2006

tom 4

nr 3

395-412

We apply a method of Euler to algebraic extensions of sets of numbers with compound additive inverse which can be seen as quotient rings of R[x]. This allows us to evaluate a generalization of Riemann’s zeta function in terms of the period of a function which generalizes the function sin z. It follows that the functions generalizing the trigonometric functions on these sets of numbers are not periodic.

Ograniczanie wyników

1 Acta Arithmetica

1 Open Mathematics

1 Gauthier C.

1 Louboutin S.

1 2006

1 1997

Wyniki wyszukiwania

The class number one problem for the non-abelian normal CM-fields of degree 16

On the periodicity of trigonometric functions generalized to quotient rings of R[x]