On zeta-functions associated to certain cusp forms. II
Antanas Laurinčikas; Joern Steuding; Darius Šiaučiūnas
Open Mathematics (2009)
- Volume: 7, Issue: 4, page 635-649
- ISSN: 2391-5455
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topAntanas Laurinčikas, Joern Steuding, and Darius Šiaučiūnas. "On zeta-functions associated to certain cusp forms. II." Open Mathematics 7.4 (2009): 635-649. <http://eudml.org/doc/269544>.
@article{AntanasLaurinčikas2009,
abstract = {A formula for the mean value of multiplicative functions associated to certain cusp forms is obtained. The paper is a continuation of [4].},
author = {Antanas Laurinčikas, Joern Steuding, Darius Šiaučiūnas},
journal = {Open Mathematics},
keywords = {Multiplicative function; Normalized Hecke eigen form; multiplicative function; normalized Hecke eigenform},
language = {eng},
number = {4},
pages = {635-649},
title = {On zeta-functions associated to certain cusp forms. II},
url = {http://eudml.org/doc/269544},
volume = {7},
year = {2009},
}
TY - JOUR
AU - Antanas Laurinčikas
AU - Joern Steuding
AU - Darius Šiaučiūnas
TI - On zeta-functions associated to certain cusp forms. II
JO - Open Mathematics
PY - 2009
VL - 7
IS - 4
SP - 635
EP - 649
AB - A formula for the mean value of multiplicative functions associated to certain cusp forms is obtained. The paper is a continuation of [4].
LA - eng
KW - Multiplicative function; Normalized Hecke eigen form; multiplicative function; normalized Hecke eigenform
UR - http://eudml.org/doc/269544
ER -
References
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- [2] Heath-Brown D.R., Fractional moments of the Riemann zeta-function, J. London Math. Soc., 1981, 24(2), 65–78 http://dx.doi.org/10.1112/jlms/s2-24.1.65[Crossref] Zbl0431.10024
- [3] Laurinčikas A., Limit Theorems for the Riemann Zeta-Function, Kluwer, Dordrecht, Boston, London, 1996 Zbl0859.11053
- [4] Laurinčikas A., Steuding J., On zeta-functions associated to certain cusp forms. I, Centr. Eur. J. Math., 2004, 2(1), 1–18 http://dx.doi.org/10.2478/BF02475947[Crossref] Zbl1038.11031
- [5] Laurinčikas A., Steuding J., On fractional power moments of zeta-functions associated with certain cusp forms, Acta Appl. Math., 2007, 97(1–3), 25–39 http://dx.doi.org/10.1007/s10440-007-9138-6[Crossref][WoS] Zbl1175.11049
- [6] Rankin R.A., Ramanujan’s tau-function and its generalizations, Ramanujan revisited (Urbana-Champaign, Ill. 1987), Academic Press, Boston, 1988, 245–268
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