Daniel Schultz

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math.NT2017

Level $17$ Ramanujan-Sato series

Tim Huber, Dan Schultz, Dongxi Ye

Two level 17 modular functions $r = q^{2} n = 1 \prod \infty (1 - q^{n})^{(\frac{n}{17})}, s = q^{2} n = 1 \prod \infty \frac{( 1 - q ^{17 n} ) ^{3}}{( 1 - q ^{n} ) ^{3}},$ are us…

math.NT2017

Series for $1/ π$ of signature 20

Tim Huber, Dan Schultz, Dongxi Ye

Properties of theta functions and Eisenstein series dating to Jacobi and Ramanujan are used to deduce differential equations associated with McKay Thompson series of level 20. Thes…

math.NT2016

Overpartitions related to the mock theta function $ω (q)$

George E. Andrews, Atul Dixit, Daniel Schultz +1

It was recently shown that $q ω (q)$ , where $ω (q)$ is one of the third order mock theta functions, is the generating function of $p_{ω} (n)$ , the number of partitions of a positive inte…

Level 17 Ramanujan-Sato series

Series for 1/π of signature 20

Overpartitions related to the mock theta function ω(q)

Level $17$ Ramanujan-Sato series

Series for $1/ π$ of signature 20

Overpartitions related to the mock theta function $ω (q)$