On zeta-functions associated to certain cusp forms. II

• Autorzy: Antanas Laurinčikas , Joern Steuding , Darius Šiaučiūnas
• Języki publikacji: EN

Abstrakty

EN

A formula for the mean value of multiplicative functions associated to certain cusp forms is obtained. The paper is a continuation of [4].

Słowa kluczowe

EN

Multiplicative function; Normalized Hecke eigen form

Kategorie tematyczne

• 11M41: Other Dirichlet series and zeta functions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 4
• Strony: 635-649

Daty

wydano

2009-12-01

online

2009-10-31

Twórcy

autor

Antanas Laurinčikas

• Department of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania

autor

Joern Steuding

• Department of Mathematics, Würzburg University, Würzburg, Germany

autor

Darius Šiaučiūnas

• Department of Mathematics and Informatics, Šiauliai University, Šiauliai, Lithuania

Bibliografia

• [1] Deligne P., La conjecture de Weil, Inst. Hautes Études Sci. Publ. Math., 1974, 43, 273–307 http://dx.doi.org/10.1007/BF02684373[Crossref]
• [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]
• [3] Laurinčikas A., Limit Theorems for the Riemann Zeta-Function, Kluwer, Dordrecht, Boston, London, 1996
• [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]
• [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]
• [6] Rankin R.A., Ramanujan’s tau-function and its generalizations, Ramanujan revisited (Urbana-Champaign, Ill. 1987), Academic Press, Boston, 1988, 245–268

Identyfikatory

DOI

10.2478/s11533-009-0044-1