László Tóth and József Sándor

Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132

Volume 3, 1997, Number 3, Pages 159–166

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## Details

### Authors and affiliations

László Tóth

*Faculty of Mathematics and Computer Science ”Babes-Bolyai” University
*

*Str. M. Kog & lniccanu 1 RO-3400 Cluj-Napoca Romania*

József Sándor

*Jud. Harghita RO-4160 Forteni 79 Romania*

### Abstract

We generalize von Mangoldt’s function and certain arithmetical products of trigonometrical functions and Euler’s gamma, function in terms of Narkiewicz’s regular convolutions. We give arithmetic evaluations for these products and we establish asymptotic formulae for them in case of cross-convolutions, investigated by the first author in previous papers.

### Keywords

- Narkiewicz’s regular convolution
- Von Mangoldt’s function
- Euler’s aritmetical function
- Euler’s gamma function
- Asymptotic formula

### AMS Classification

- 11A25
- 11N37
- 33B15

### References

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## Cite this paper

Tóth, L. & Sándor J. (1997). On certain arithmetic products involving regular convolutions. *Notes on Number Theory and Discrete Mathematics*, 3(3), 159-166.