Daniel Schultz

activity

20152017

most citedContinuous Distribution Arising From the Three Gaps Theorem

2 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing math.NTShow all

4 papers · 1 filter

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…

math.NT2015★ 2 cited

Continuous Distribution Arising From the Three Gaps Theorem

Geremías Polanco, Daniel Schultz, Alexandru Zaharescu

The well known Three Gap Theorem states that there are at most three gap sizes in the sequence of fractional parts ${α n}_{n < N}$ . It is known that if one averages over α, the dis…

Level 17 Ramanujan-Sato series

Series for 1/π of signature 20

Overpartitions related to the mock theta function ω(q)

Continuous Distribution Arising From the Three Gaps Theorem

Level $17$ Ramanujan-Sato series

Series for $1/ π$ of signature 20

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