J. Campbell

works on

conjecture disproof 1 divisor function 1 integer sequences 1 nondeficient numbers 1 perfect numbers 1

From the 1 of 8 linked papers with an AI index.

activity

20242026

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math.CA2025

Three-parameter generalizations of formulas due to Guillera

John M. Campbell

Guillera has introduced remarkable series expansions for $\frac{1}{I ¨ ^{2}}$ of convergence rates $- \frac{1}{1024}$ and $- \frac{1}{4}$ via the Wilf-Zeilberger method. Through an accel…

math.CA2024

Hypergeometric accelerations with shifted indices

John M. Campbell

Chu and Zhang, in 2014, introduced hypergeometric transforms derived through the application of an Abel-type summation lemma to Dougall's $_{5} H_{5}$ -series. These transforms wer…