Mathematics projects by John Blythe Dobson

Research

On Lerch’s formula for the Fermat quotient
[arXiv:1103.3907]
On Eisenstein's formula for the Fermat quotient [arXiv:1207.5831]
Extended calculations of a special Harmonic number [arXiv:1402.5680]
On the Andrews congruence for the Fibonacci quotient
(added 21 May 2014)
Published version: Fibonacci Quarterly 52 (2014): 314–317, available online to subscribers at http://www.fq.math.ca/Papers/52-4/Dobson07072014.pdf [PDF].
A characterization of Wilson-Lerch primes
Integers 16 (2016), article no. A51, available free online at http://www.integers-ejcnt.org/q51/q51.mail.html [PDF].
Calculations relating to some special Harmonic numbers [arXiv:1501.05075]
A matrix variation on Ramus's identity for lacunary sums of binomial coefficients, International Journal of Mathematics and Computer Science 12 (2017): 27–42, available free online at http://ijmcs.future-in-tech.net/12.1/R-Dobson.pdf [PDF].
On the special harmonic numbers H_⌊p/9⌋ and H_⌊p/18⌋ modulo p [arXiv:2302.02027]