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- W2014920673 abstract "In the first part of the paper we study arithmetical properties of Pascal triangles modulo a prime power; the main result is the generalization of Lucas' theorem. Then we investigate the structure 〈 N ; B p x 〉, where p is a prime, α is an integer greater than one, and B p x (x, y) = Rem (( x+y x ), p x ) ; it is shown that addition is first-order definable in this structure, and that its elementary theory is decidable." @default.
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- W2014920673 date "1997-12-01" @default.
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- W2014920673 title "On Pascal triangles modulo a prime power" @default.
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- W2014920673 doi "https://doi.org/10.1016/s0168-0072(97)85376-6" @default.
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