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Showing 2007 · math.NTShow all
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math.NT2007
Difference sets and Polynomials of prime variables
Hongze Li, Hao Pan
Let ψ(x) be a polynomial with rational coefficients. Suppose that ψhas the positive leading coefficient and zero constant term. Let A be a set of positive integers with the positiv…
math.NT2007
On value sets of polynomials over a field
Zhi-Wei Sun
Let F be any field. Let p(F) be the characteristic of F if F is not of characteristic zero, and let p(F)=+\infty otherwise. Let A_1,...,A_n be finite nonempty subsets of F, and let…
math.NT2007
Covers of the integers with odd moduli and their applications to the forms and
Ke-Jian Wu, Zhi-Wei Sun
In this paper we construct a cover {a_s(mod n_s)}_{s=1}^k of Z with odd moduli such that there are distinct primes p_1,...,p_k dividing 2^{n_1}-1,...,2^{n_k}-1 respectively. Using…