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math.NT2026
On the binary digits of the Erdős-Borwein constant
John M. Campbell
In a landmark paper on arithmetical properties of Lambert series, Erdős proved that is irrational. This value is now referred to as th…
math.NT2026
On divisor sums due to Erdős and Ramanujan
John M. Campbell
Let denote the number of divisors of a positive integer . A classical problem in analytic number theory is given by the asymptotic behavior of the divisor sum $\sum_{n \l…