A generalization of Bombieri's prime number theorem to algebraic number fields
Jürgen Hinz (1988)
Acta Arithmetica
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Jürgen Hinz (1988)
Acta Arithmetica
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Andrzej Schinzel (1988)
Acta Arithmetica
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David Cantor (1977)
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).
D. Burgess (1971)
Acta Arithmetica
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H. Kesten (1964)
Acta Arithmetica
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J. Loxton (1984)
Acta Arithmetica
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Matti Jutila (1975)
Acta Arithmetica
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C. Hooley (1963)
Acta Arithmetica
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