11 citations · 23 across the 17 of their papers we have counts for
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math.NT2014★ 1 cited
On the sum of the first n prime numbers
Christian Axler
In this paper we establish a general asymptotic formula for the sum of the first n prime numbers, which leads to a generalization of the most accurate asymptotic formula given by M…
math.NT2014
New bounds for the prime counting function π(x)
Christian Axler
In this paper we establish a number of new estimates concerning the prime counting function π(x), which improve the estimates proved in the literature. As an application, we deduce…
math.NT2014★ 7 cited
On generalized Ramanujan primes
Christian Axler
In this paper we establish several results concerning the generalized Ramanujan primes. For and we give estimates for the th -Ramanu…