On the product of the conjugates outside the unit circle of an algebraic integer
A. Bazylewicz (1976)
Acta Arithmetica
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A. Bazylewicz (1976)
Acta Arithmetica
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Jerzy Sawa (1985)
Studia Mathematica
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Andrzej Schinzel (1973)
Acta Arithmetica
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Mahta Khosravi, John A. Toth (2005)
Annales de l'institut Fourier
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Let be the error term in Weyl’s law for a 3-dimensional Riemannian Heisenberg manifold. We prove that , where is a specific nonzero constant and is an arbitrary small positive number. This is consistent with the conjecture of Petridis and Toth stating that .The idea of the proof is to use the Poisson summation formula to write the error term in a form which can be estimated by the method of the stationary phase. The similar result will be also proven in the -dimensional case. ...
K. Ramanathan (1984)
Acta Arithmetica
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D. Przeworska-Rolewicz (1969)
Studia Mathematica
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Avner Friedman, Bei Hu (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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