# A hybrid mean value of the Dedekind sums

Czechoslovak Mathematical Journal (2010)

- Volume: 60, Issue: 4, page 1055-1063
- ISSN: 0011-4642

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topYang, Hai. "A hybrid mean value of the Dedekind sums." Czechoslovak Mathematical Journal 60.4 (2010): 1055-1063. <http://eudml.org/doc/196534>.

@article{Yang2010,

abstract = {The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.},

author = {Yang, Hai},

journal = {Czechoslovak Mathematical Journal},

keywords = {Dedekind sums; Dirichlet $L$-function; mean value; Dedekind sum; Dirichlet -function; mean value},

language = {eng},

number = {4},

pages = {1055-1063},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A hybrid mean value of the Dedekind sums},

url = {http://eudml.org/doc/196534},

volume = {60},

year = {2010},

}

TY - JOUR

AU - Yang, Hai

TI - A hybrid mean value of the Dedekind sums

JO - Czechoslovak Mathematical Journal

PY - 2010

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 60

IS - 4

SP - 1055

EP - 1063

AB - The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.

LA - eng

KW - Dedekind sums; Dirichlet $L$-function; mean value; Dedekind sum; Dirichlet -function; mean value

UR - http://eudml.org/doc/196534

ER -

## References

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- Walum, H., An exact formula for an average of $L$-series, Il. J. Math. 26 (1982), 1-3. (1982) Zbl0464.10030MR0638548
- Zhang, W., 10.5802/jtnb.179, J. Théor. Nombres Bordx. 8 (1996), 429-442. (1996) Zbl0871.11033MR1438480DOI10.5802/jtnb.179
- Toyoizumi, M., On certain character sums, Acta Arith. 55 (1990), 229-232. (1990) Zbl0702.11054MR1067970

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