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math.NT2014★ 1 cited
Periodicity related to a sieve method of producing primes
Haifeng Xu, Zuyi Zhang, Jiuru Zhou
In this paper we consider a slightly different sieve method from Eratosthenes' to get primes. We find the periodicity and mirror symmetry of the pattern.
math.NT2013
The connection between the Basel problem and a special integral
Haifeng Xu, Jiuru Zhou
By using Fubini theorem or Tonelli theorem, we find that the zeta function value at 2 is equal to a special integral. Furthermore, We find that this special integral is two times o…