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Carlitz and Charles Wells The number of solutions of a special system
T A Elliott On certain additive functions 365384
and V T S6s On two problems of Erdos Sziisz and Turin concerning
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Acta arithmetic assume belongs Carlitz class of degree coefficients complete residue system condition congruence consider constant contains Corollary corresponding cubic polynomial Davenport defined definition degree prs denotes the number Diophantine approximation divisor elements equation Erdos estimate exists exponential sum finite finite field fixed follows function GF(g given Hence hhcjio hjih holds hypothesis implies inequality integer points interval irreducible factorable irreducible polynomial JIemma Kloosterman sums Lemma 18 linear polynomial logarithmic density Math mod F modulo monic multiplicative natural density natural numbers notation number of integer number of solutions obtain orbit polynomials of degree positive integers positive real numbers prime ideal proof of Theorem prove quadratic forms quadratic polynomial r-tuples rational primes resp result rising sequence root of unity sequence of positive sequences of integers splitting field summation Suppose u.d. mod uniform distribution values variables ypaBHeHHH