Kummer Theory and Reciprocity Laws
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منابع مشابه
Kummer, Eisenstein, Computing Gauss Sums as Lagrange Resolvents
In fact, [Eisenstein 1850] evaluated cubes and fourth powers of Gauss sums attached to cubic and quartic characters to prove the corresponding reciprocity laws. One essential point is the p-adic approximation of Gauss sums by [Kummer 1847], generalized in [Stickelberger 1890]. Since the rings of algebraic integers generated by third or fourth roots of unity have class number one and finitely-ma...
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تاریخ انتشار 2003