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In this paper we introduce an improved variant of the LLL algorithm. Using the Gram matrix to avoid expensive correction steps necessary in the Schnorr-Euchner algorithm and introd...
We consider summation of consecutive values (v), (v +1), . . . , (w) of a meromorphic function (z) where v, w ZZ. We assume that (z) satisfies a linear difference equation L(y) = ...
We find a full system of invariants with respect to gauge transformations L g-1 Lg for third-order hyperbolic linear partial differential operators on the plane. The operators are...