The string wave equation (i.e., the one-dimentional wave equation) is considered in the context of complex functions over finite fields. Analogs of the classical d’Alembert formulas over finite fields are obtained.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 469, 2018, pp. 138–150.
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Proskurin, N.V. Vibrations of a String in the Context of Finite Fields. J Math Sci 242, 560–567 (2019). https://doi.org/10.1007/s10958-019-04495-4
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DOI: https://doi.org/10.1007/s10958-019-04495-4