Geoffrey B. Campbell

activity

20122025

most citedA manufacturable platform for photonic quantum computing

24 citations · 28 across the 18 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.NT2016

The series that Ramanujan misunderstood

Geoffrey B Campbell, Aleksander Zujev

We give a new appraisal of a famous oscillating power series considered by Hardy and Ramanujan related to the erroneous theory of distribution of primes by Ramanujan.

math.NT2016

On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n

Geoffrey B Campbell, Aleksander Zujev

We give an infinite number of integer solutions to the Diophantine equation x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n, and some solutions to some similar equations.

math.NT2016

Some equations with features of digit reversal and powers

Geoffrey B. Campbell, Aleksander Zujev

In this paper we consider integers in base 10 like $ab c$ , where $a$ , $b$ , $c$ are digits of the integer, such that $ab c^{2} - (ab c \cdot c ba) = \pm n^{2}$ , where $n$ is a positiv…