Blake Wilkerson

most citedLambert series and q-functions near q=1

33 citations · 33 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2018

Rapidly converging formulae for $ζ (4 k \pm 1)$

Shubho Banerjee, Blake Wilkerson

We provide rapidly converging formulae for the Riemann zeta function at odd integers using the Lambert series $L_{q} (s) = \sum_{n = 1}^{\infty} n^{s} q^{n} / (1 - q^{n})$ , $s=-(4k\pm…

math.NT2016★ 33 cited

Lambert series and q-functions near q=1

Shubho Banerjee, Blake Wilkerson

We study the Lambert series $L_{q} (s, x) = \sum_{k = 1}^{\infty} k^{s} q^{k x} / (1 - q^{k})$ , for all $s \in C$ . We obtain the complete asymptotic expansion of $\mathscr{L}_q(…

Rapidly converging formulae for ζ(4k±1)

Lambert series and q-functions near q=1

Rapidly converging formulae for $ζ (4 k \pm 1)$