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20092026
most citedQuadratic polynomials at prime arguments

6 citations · 19 across the 21 of their papers we have counts for

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Showing 2011 · math.NTShow all

4 papers · 2 filters

math.NT2011★ 1 cited

Incomplete Kloosterman sums and Hooley's R-Conjecture

Ping Xi

This paper has been withdrawn by the author because Proposition 1 is not valid.

math.NT2011

Asymptotic behaviors of Kloosterman sums

Ping Xi

This paper has been withdrawn by the author because there is a gap in Lemma 9.

math.NT2011

Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes

Ping Xi

In this paper, we prove a quantitative version of the statement that every nonempty finite subset of is a set of quadratic residues for infinitely many primes of the…

math.NT2011

A note on the moments of Kloosterman sums

Ping Xi, Yuan Yi

In this note, we deduce an asymptotic formula for even power moments of Kloosterman sums based on the important work of N. M. Katz on Kloosterman sheaves. In a similar manner, we c…