On the hybrid mean value of Dedekind sums and Hurwitz zeta-function

Wenpeng Zhang

Acta Arithmetica (2000)

  • Volume: 92, Issue: 2, page 141-152
  • ISSN: 0065-1036

How to cite

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Wenpeng Zhang. "On the hybrid mean value of Dedekind sums and Hurwitz zeta-function." Acta Arithmetica 92.2 (2000): 141-152. <http://eudml.org/doc/207376>.

@article{WenpengZhang2000,
author = {Wenpeng Zhang},
journal = {Acta Arithmetica},
keywords = {Dedekind sums; Hurwitz zeta-function; the hybrid mean value; hybrid mean value},
language = {eng},
number = {2},
pages = {141-152},
title = {On the hybrid mean value of Dedekind sums and Hurwitz zeta-function},
url = {http://eudml.org/doc/207376},
volume = {92},
year = {2000},
}

TY - JOUR
AU - Wenpeng Zhang
TI - On the hybrid mean value of Dedekind sums and Hurwitz zeta-function
JO - Acta Arithmetica
PY - 2000
VL - 92
IS - 2
SP - 141
EP - 152
LA - eng
KW - Dedekind sums; Hurwitz zeta-function; the hybrid mean value; hybrid mean value
UR - http://eudml.org/doc/207376
ER -

References

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  1. [1] T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York, 1976. 
  2. [2] T. M. Apostol, Modular Functions and Dirichlet Series in Number Theory, Springer, New York, 1976. 
  3. [3] L. Carlitz, The reciprocity theorem of Dedekind sums, Pacific J. Math. 3 (1953), 513-522. Zbl0057.03701
  4. [4] J. B. Conrey, E. Fransen, R. Klein and C. Scott, Mean values of Dedekind sums, J. Number Theory 56 (1996), 214-226. Zbl0851.11028
  5. [5] L. J. Mordell, The reciprocity formula for Dedekind sums, Amer. J. Math. 73 (1951), 593-598. Zbl0042.27401
  6. [6] H. Rademacher, On the transformation of log η(τ), J. Indian Math. Soc. 19 (1955), 25-30. 
  7. [7] H. Rademacher, Dedekind Sums, Carus Math. Monographs, Math. Assoc. Amer., Washington, DC, 1972. 
  8. [8] H. Walum, An exact formula for an average of L-series, Illinois J. Math. 26 (1982), 1-3. Zbl0464.10030
  9. [9] W. P. Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordeaux 8 (1996), 429-442. Zbl0871.11033

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