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

100%

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.

On zeta-functions associated to certain cusp forms. I

100%

Laurinčikas A., Steuding J.

Open Mathematics

2004

tom 2

nr 1

1-18

In the paper the asymptotics for Dirichlet polynomials associated to certain cusp forms are obtained.

Discrete limit theorems for general Dirichlet series. III

86%

Laurinčikas A., Macaitienė R.

Open Mathematics

2004

tom 2

nr 3

339-361

Here we prove a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for a general Dirichlet series. The explicit form of the limit measure in this theorem is given.

Limit theorems for the Estermann zeta-function. II

72%

Laurinčikas A.

Open Mathematics

2005

tom 3

nr 4

580-590

A limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for the Estermann zeta-function is obtained.

Ograniczanie wyników

4 Open Mathematics

3 Laurinčikas A.

1 Gauthier C.

1 Macaitienė R.

1 Steuding J.

1 2006

1 2005

2 2004

Wyniki wyszukiwania

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

On zeta-functions associated to certain cusp forms. I

Discrete limit theorems for general Dirichlet series. III

Limit theorems for the Estermann zeta-function. II