Scalar product of Dirichlet series and the distribution of integer points on toric varieties.
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Moroz, B.Z. (2005)
Journal of Mathematical Sciences (New York)
Mitsuru Ikawa (1991/1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
Pierrette CASSOU -NOGUÈS (1980/1981)
Seminaire de Théorie des Nombres de Bordeaux
Patrick SARGOS (1981/1982)
Seminaire de Théorie des Nombres de Bordeaux
Julia Prada Blanco (1977)
Collectanea Mathematica
Paneva-Konovska, Jordanka (2010)
Fractional Calculus and Applied Analysis
MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and Littlewood type theorems. Asymptotic formulae are also provided for the Mittag-Leffler functions in the case of " values of indices that are used in the proofs of the convergence theorems for the considered series.
PAUL ERDÖS, FRITZ HERZOG, GEORGE PIRANIAN (1954)
Mathematica Scandinavica
Ilja Černý (1978)
Časopis pro pěstování matematiky
Maxime Bailleul, Pascal Lefèvre (2015)
Studia Mathematica
The Hardy spaces of Dirichlet series, denoted by (p ≥ 1), have been studied by Hedenmalm et al. (1997) when p = 2 and by Bayart (2002) in the general case. In this paper we study some -generalizations of spaces of Dirichlet series, particularly two families of Bergman spaces, denoted and . Each could appear as a “natural” way to generalize the classical case of the unit disk. We recover classical properties of spaces of analytic functions: boundedness of point evaluation, embeddings between...
Ch. Pommerenke (1984)
Mathematische Zeitschrift
Józef Siciak (2011)
Annales UMCS, Mathematica
We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
W.J. Thron, H. Waadeland, L. Jacobsen (1987)
Numerische Mathematik
Quentin Menet (2011)
Studia Mathematica
We improve a result of Charpentier [Studia Math. 198 (2010)]. We prove that even on Fréchet spaces with a continuous norm, the existence of only one restrictively universal series implies the existence of a closed infinite-dimensional subspace of restrictively universal series.
Kumar, Arvind, Srivastava, G.S. (1994)
Portugaliae Mathematica
Werner Balser (1992)
Mathematica Scandinavica
A. Gutzmer (1889)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
Hubert Delange (2000)
Acta Arithmetica
P. Appell (1883)
Bulletin de la Société Mathématique de France
Maurice Blambert (1964/1965)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Dušan D. Adamović (1973)
Publications de l'Institut Mathématique
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