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The singular integral
The asymptotic formula
1 other sections not shown
According to Lemma arbitrarily arbitrary polynomial asymptotic formula c-k\ogk Cauchy's inequality char char.Fa charFq charPa complete set contribution define equation fcth powers finite field formal power series Fq[x Hardy-Littlewood method Hua's Lemma hypersurface ieven induction hypothesis irreducible polynomial k-th powers leading coefficient Lemma 16 Lemma 23 Lemma 34 Let g(k linear locally constant function m<ordQ<m major arcs MATHEMATICAE minor arcs monic polynomials nomial non-zero number of choices number of representations number of tuples O(modP or&Q ord^<ordQ orda ordF<m-ordQ ordP ordP<m ordQ pairwise disjoint polynomials of order powers modP powers of monomials powers of polynomials Proof Proposition 13 prove Q monic relatively prime residue classes s-tuple satisfies set of residues show by induction singular integral singular series solutions sum of fcth summation Suppose Theorem 30 truncated binomials tuples Plt unph Waring's problem Weyl's Lemma zero