On equations with reflection
D. Przeworska-Rolewicz (1969)
Studia Mathematica
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D. Przeworska-Rolewicz (1969)
Studia Mathematica
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A. Bazylewicz (1976)
Acta Arithmetica
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K. Ramanathan (1984)
Acta Arithmetica
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N. Chernyavskaya, L. Shuster (2002)
Bollettino dell'Unione Matematica Italiana
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We consider a Cauchy problem where , and is a non-negative function satisfying the condition: We obtain the conditions under which can be continued to all of . This depends on , and the properties of .
Liang-Cheng Zhang (1997)
Acta Arithmetica
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Marshall Hall (1971)
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. ...