Abstract
Both in number theory and analysis one factorizes elements into prime powers. In analysis, this means that a function gets factored into an infinite product corresponding to its zeros and poles. Taking the values at special points, such an analytic expression reflects itself into special properties of the values, for which it becomes possible to determine the prime factorization in number fields.
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© 1987 Springer-Verlag New York Inc.
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Lang, S. (1987). Product Expansions. In: Elliptic Functions. Graduate Texts in Mathematics, vol 112. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4752-4_18
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DOI: https://doi.org/10.1007/978-1-4612-4752-4_18
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9142-8
Online ISBN: 978-1-4612-4752-4
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