Mathematical Sciences Classification System
11Sxx - Algebraic number theory: local and $p$-adic fields
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11S05Polynomials
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11S15Ramification and extension theory
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11S20Galois theory
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11S23Integral representations
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11S25
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11S31Class field theory; $p$-adic formal groups [See also 14L05]
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11S37
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11S40
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11S45
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11S70$K$-theory of local fields [See also 19Fxx]
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11S80Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.)
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11S82Non-Archimedean dynamical systems [See mainly 37Pxx]
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11S85Other nonanalytic theory
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11S90Prehomogeneous vector spaces
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11S99None of the above, but in this section