Christian Axler

activity

20142024

most citedNew estimates for some functions defined over primes

11 citations · 23 across the 17 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.NT2015

An explicit upper bound for the first $k$ -Ramanujan prime

Christian Axler, Thomas Leßmann

In this paper we establish an explicit upper bound for the first $k$ -Ramanujan prime $R_{1}^{(k)}$ by using a recent result concerning the existence of prime numbers in small interva…

math.NT2015★ 2 cited

On a sequence involving the prime numbers

Christian Axler

In this paper we study a sequence involving the prime numbers by deriving two asymptotic formulas and finding new upper and lower bounds, which improve the currently known estimate…

An explicit upper bound for the first k-Ramanujan prime

On a sequence involving the prime numbers

An explicit upper bound for the first $k$ -Ramanujan prime