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math.GM2009★ 1 cited
Generalizations of an Ancient Greek Inequality about the Sequence of Primes
Shaohua Zhang
In this note, we generalize an ancient Greek inequality about the sequence of primes to the cases of arithmetic progressions even multivariable polynomials with integral coefficien…
math.GM2009★ 2 cited
W Sequences and the Distribution of Primes in Short Interval
Shaohua Zhang
Based on Euclid's algorithm, we find a kind of special sequences which play an interesting role in the study of primes. We call them W Sequences. They not only ties up the distribu…
math.GM2009
Generalizations of a theorem about the binomial coefficient
Shaohua Zhang
The object of this paper is to generalize a theorem on the binomial coefficient [4] to the case in an arithmetic progression. We will also give a slightly stronger result than Lang…