Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)
Liang-Cheng Zhang (1997)
Acta Arithmetica
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Liang-Cheng Zhang (1997)
Acta Arithmetica
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K. Ramanathan (1984)
Acta Arithmetica
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A. Bazylewicz (1976)
Acta Arithmetica
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D. Przeworska-Rolewicz (1969)
Studia Mathematica
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H. Fiedler, W. Jurkat, O. Körner (1977)
Acta Arithmetica
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J. Radecki (1962)
Studia Mathematica
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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. ...
Andrzej Schinzel (1973)
Acta Arithmetica
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Shibata, Tetsutaro (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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