Some Special Complex Multiplications in Two Variables Using Hilbert Singular Moduli

Harvey Cohn
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Harvey Cohn: City College (City University of New York), Mathematics Department

Chapter 3 in Number Theory, 1991, pp 75-83 from Springer

Abstract: Abstract Complex multiplication is not well understood beyond the classical case of one (complex) dimension, where highly developed independent approaches exist through algebra, geometry, and modular function theory. The most immediate prospect for developing a higher dimensional theory is through Hilbert modular functions. Here modular equations are now becoming an appropriate area for computer algebra.

Date: 1991
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DOI: 10.1007/978-1-4757-4158-2_3

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