# On a problem of D. H. Lehmer and its generalization

Compositio Mathematica (1993)

- Volume: 86, Issue: 3, page 307-316
- ISSN: 0010-437X

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top## How to cite

topWenpeng, Zhang. "On a problem of D. H. Lehmer and its generalization." Compositio Mathematica 86.3 (1993): 307-316. <http://eudml.org/doc/90223>.

@article{Wenpeng1993,

author = {Wenpeng, Zhang},

journal = {Compositio Mathematica},

keywords = {opposite parity; asymptotic formulae; character sums; Kloosterman sums},

language = {eng},

number = {3},

pages = {307-316},

publisher = {Kluwer Academic Publishers},

title = {On a problem of D. H. Lehmer and its generalization},

url = {http://eudml.org/doc/90223},

volume = {86},

year = {1993},

}

TY - JOUR

AU - Wenpeng, Zhang

TI - On a problem of D. H. Lehmer and its generalization

JO - Compositio Mathematica

PY - 1993

PB - Kluwer Academic Publishers

VL - 86

IS - 3

SP - 307

EP - 316

LA - eng

KW - opposite parity; asymptotic formulae; character sums; Kloosterman sums

UR - http://eudml.org/doc/90223

ER -

## References

top- 1 Richard K. Guy, Unsolved Problems in Number Theory, Springer-Verlag, 1981, pp. 139-141. Zbl0805.11001MR656313
- 2 G. Pólya, Über die Verteilung der quadratischen Reste und Nichtreste, GöttingerNachrichten, 1918, pp. 21-29. Zbl46.0265.02JFM46.0265.02
- 3 T. Estermann, On Kloosterman's sum, Mathematika, 8 (1961), pp. 83-86. Zbl0114.26302MR126420
- 4 Apostol, Tom M., Introduction to Analytic Number Theory, Undergraduate Texts in Mathematics, Springer-Verlag, New York, 1976. Zbl0335.10001MR434929

## Citations in EuDML Documents

top- Imre Z. Ruzsa, Andrzej Schinzel, An application of Kloosterman sums
- Xiaowei Pan, Wenpeng Zhang, On Lehmer's problem and Dedekind sums
- Han Zhang, Wenpeng Zhang, Some new sums related to D. H. Lehmer problem
- Zhang Wenpeng, A problem of D. H. Lehmer and its generalization (II)
- Alexandru Zaharescu, The distribution of the values of a rational function modulo a big prime
- Rong Ma, Yulong Zhang, On a kind of generalized Lehmer problem

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