On the rank of hypergeometric sheaves on higher dimensional tori
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math.NT
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hypergeometricdimensionalexplicithigherranksheavestoriallows
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We prove an explicit formula for the generic rank of hypergeometric perverse sheaves on higher dimensional tori over a finite field, as defined by Gabber and Loeser. This allows to give an explicit estimate for the corresponding hypergeometric character sums for almost all primes $p$.
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