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math.NT2008
Mean representation number of integers as the sum of primes
Gautami Bhowmik, Jan-Christoph Schlage-Puchta
Assuming the Riemann Hypothesis we obtain asymptotic estimates for the mean value of the number of representations of an integer as a sum of two primes. By proving a corresponding…
math.NT2008
An Improvement on Olson's Constant for Z_p+Z_p
Gautami Bhowmik, Jan-Christoph Schlage-Puchta
For a prime number p greater than 6000, the Olson's constant for the group Z_p+Z_p is given by Ol(Z_p+Z_p)=p-1+Ol(Z_p).
math.NT2008
Zero-sum free sequences with small sum-set
Gautami Bhowmik, Immanuel Halupczok, Jan-Christoph Schlage-Puchta
Let A be a zero-sum free subset of Z_n with |A|=k. We compute for k\le 7 the least possible size of the set of all subset-sums of A.