A reciprocity congruence for an analogue of the Dedekind sum and quadratic reciprocity
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منابع مشابه
Quadratic Reciprocity in Characteristic 2
Let F be a finite field. When F has odd characteristic, the quadratic reciprocity law in F[T ] lets us decide whether or not a quadratic congruence f ≡ x2 mod π is solvable, where the modulus π is irreducible in F[T ] and f 6≡ 0 mod π. This is similar to the quadratic reciprocity law in Z. We want to develop an analogous reciprocity law when F has characteristic 2. At first it does not seem tha...
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These sums appear in various branches of mathematics: Number Theory, Algebraic Geometry, and Topology; they have consequently been studied extensively in various contexts. These include the quadratic reciprocity law ([13]), random number generators ([12]), group actions on complex manifolds ([9]), and lattice point problems ([14], [5]). Dedekind was the first to show the following reciprocity l...
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These sums appear in various branches of mathematics: Number Theory, Algebraic Geometry, and Topology; they have consequently been studied extensively in various contexts. These include the quadratic reciprocity law ([13]), random number generators ([12]), group actions on complex manifolds ([9]), and lattice point problems ([14], [5]). Dedekind was the first to show the following reciprocity l...
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