On the mean square value of Dirichlet’s -functions
Compositio Mathematica (1992)
- Volume: 84, Issue: 1, page 59-69
- ISSN: 0010-437X
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topWenpeng, Zhang. "On the mean square value of Dirichlet’s $L$-functions." Compositio Mathematica 84.1 (1992): 59-69. <http://eudml.org/doc/90179>.
@article{Wenpeng1992,
author = {Wenpeng, Zhang},
journal = {Compositio Mathematica},
keywords = {mean square value; Dirichlet characters; -functions; asymptotic formula; Hurwitz zeta-function},
language = {eng},
number = {1},
pages = {59-69},
publisher = {Kluwer Academic Publishers},
title = {On the mean square value of Dirichlet’s $L$-functions},
url = {http://eudml.org/doc/90179},
volume = {84},
year = {1992},
}
TY - JOUR
AU - Wenpeng, Zhang
TI - On the mean square value of Dirichlet’s $L$-functions
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 84
IS - 1
SP - 59
EP - 69
LA - eng
KW - mean square value; Dirichlet characters; -functions; asymptotic formula; Hurwitz zeta-function
UR - http://eudml.org/doc/90179
ER -
References
top- [1] D.R. Heath-Brown, An asymptotic series for the mean value of Dirichlet L-functions. Comment. Math. Helv.56 (1981), 148-161. Zbl0457.10020MR615623
- [2] D.R. Heath-Brown, The Fourth power mean of Dirichlet's L-functions. Analysis1 (1981), 33-44. Zbl0479.10027MR623640
- [3] T.M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976. Zbl0335.10001MR434929
- [4] Zhang Wenpeng, On the Hurwitz zeta-function. Acta Math. Sinica, 33 (1990), 160-171. Zbl0702.11058MR1055883
- [5] R. Balasubramanian, A note on the Dirichlet L-functions. Acta Arith. (1980) XXXVIII, 273-283. Zbl0379.10026
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