Laplace transform of distribution-valued functions and its applications
B. Stanković (2004)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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B. Stanković (2004)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Matthev O. Ojo (2002)
Kragujevac Journal of Mathematics
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Shin-ichiro Mizumoto (1999)
Acta Arithmetica
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Introduction. The vanishing orders of L-functions at the centers of their functional equations are interesting objects to study as one sees, for example, from the Birch-Swinnerton-Dyer conjecture on the Hasse-Weil L-functions associated with elliptic curves over number fields. In this paper we study the central zeros of the following types of L-functions: (i) the derivatives of the Mellin transforms of Hecke eigenforms for SL₂(ℤ), (ii)...
Zhangjian Hu (1996)
Colloquium Mathematicae
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Zeév Rudnick, Alexandru Zaharescu (1999)
Acta Arithmetica
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Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Chueshev, A.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Alexandru Zaharescu (1999)
Acta Arithmetica
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Yakymiv, A.L. (2006)
Publications de l'Institut Mathématique. Nouvelle Série
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Binyamin Schwarz, Uri Srebro (1996)
Banach Center Publications
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It is shown that for n ≥ 2 and p > 2, where p is not an even integer, the only balls in the Carathéodory distance on which are balls with respect to the complex norm in are those centered at the origin.
A. Biró (1999)
Acta Arithmetica
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Ziomek, Marcin (2006)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.