Modular spaces of generalized variation
Hans Herda (1968)
Studia Mathematica
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Hans Herda (1968)
Studia Mathematica
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J.-L. Nicolas, A. Sárközy (2000)
Journal de théorie des nombres de Bordeaux
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Let denote the number of partitions of into parts, each of which is at least . By applying the saddle point method to the generating series, an asymptotic estimate is given for , which holds for , and .
Z. Ciesielski (1968)
Studia Mathematica
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S. Fridli (1997)
Studia Mathematica
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Since the trigonometric Fourier series of an integrable function does not necessarily converge to the function in the mean, several additional conditions have been devised to guarantee the convergence. For instance, sufficient conditions can be constructed by using the Fourier coefficients or the integral modulus of the corresponding function. In this paper we give a Hardy-Karamata type Tauberian condition on the Fourier coefficients and prove that it implies the convergence of the Fourier...
Xia Chen, Jay Rosen (2005)
Annales de l'I.H.P. Probabilités et statistiques
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P. Ney, S. Wainger (1972)
Studia Mathematica
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A. Zygmund (1937)
Prace Matematyczno-Fizyczne
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H. Kesten (1964)
Acta Arithmetica
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Muharem Avdispahic, Medo Pepic (2000)
Collectanea Mathematica
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J. Mikusiński, C. Ryll-Nardzewski (1953)
Studia Mathematica
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