J. Campbell

activity

20102026

most citedOn a problem involving the squares of odd harmonic numbers

8 citations · 10 across the 13 of their papers we have counts for

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Showing 2023 · math.NTShow all

2 papers · 2 filters

math.NT2023

On a conjecture on a series of convergence rate $\frac{1}{2}$

John M. Campbell

Sun, in 2022, introduced a conjectured evaluation for a series of convergence rate $\frac{1}{2}$ involving harmonic numbers. We prove both this conjecture and a stronger version of…

math.NT2023★ 1 cited

Hyperbolic summations derived using the Jacobi functions $dc$ and $nc$

John M. Campbell

We introduce a method that is based on Fourier series expansions related to Jacobi elliptic functions and that we apply to determine new identities for evaluating hyperbolic infini…

On a conjecture on a series of convergence rate 21​

Hyperbolic summations derived using the Jacobi functions dc and nc

On a conjecture on a series of convergence rate $\frac{1}{2}$

Hyperbolic summations derived using the Jacobi functions $dc$ and $nc$