Generation of class fields by the modular function
Kuk Jin Hong, Ja Kyung Koo (2000)
Acta Arithmetica
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Kuk Jin Hong, Ja Kyung Koo (2000)
Acta Arithmetica
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Emma Lehmer (1972)
Acta Arithmetica
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S. K. Chatterjea (1961)
Rendiconti del Seminario Matematico della Università di Padova
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Kalman Györy, R. Tijdeman, M. Voorhoeve (1980)
Acta Arithmetica
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Chin-Cheng Lin (1995)
Revista Matemática Iberoamericana
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We give a Hörmander-type sufficient condition on an operator-valued function M that implies the L-boundedness result for the operator T defined by (Tf)^ = Mf^ on the (2n + 1)-dimensional Heisenberg group H. Here ^ denotes the Fourier transform on H defined in terms of the Fock representations. We also show the H-L boundedness of T, ||Tf|| ≤ C||f||, for H under the same hypotheses of L-boundedness.
L. Carlitz (1964)
Acta Arithmetica
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Lubomír Kubáček, Ludmila Kubáčková (1999)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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L. Carlitz (1969)
Acta Arithmetica
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