An integral involving the remainder term in the Piltz divisor problem
R. Sitaramachandrarao (1987)
Acta Arithmetica
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R. Sitaramachandrarao (1987)
Acta Arithmetica
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F. Móricz, K. Tandori (1985)
Studia Mathematica
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I. Szalay (1988)
Studia Mathematica
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L. Mordell (1965)
Acta Arithmetica
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Johannes Schoißengeier (1984)
Acta Arithmetica
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Mordechay B. Levin (2001)
Journal de théorie des nombres de Bordeaux
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Let be integers, and let be a sequence of real numbers. In this paper we prove that the lower bound of the discrepancy of the double sequence coincides (up to a logarithmic factor) with the lower bound of the discrepancy of ordinary sequences in -dimensional unit cube . We also find a lower bound of the discrepancy (up to a logarithmic factor) of the sequence (Korobov’s problem).
Achim Zulauf (1956-1958)
Compositio Mathematica
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H. Kesten (1964)
Acta Arithmetica
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F. Móricz (1985)
Studia Mathematica
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Alzer, Horst (1993)
Portugaliae mathematica
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