Dongxi Ye

collaborators

6 papers

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.NT2017

Gross-Zagier Type CM Value Formulas on $X_{0}^{*} (p)$

Dongxi Ye

In this work, we derive Gross-Zagier type CM value formulas for Hauptmoduls $j_{p}^{*} (τ)$ on Fricke groups $Γ_{0}^{*} (p)$ . We also illustrate how to employ these formulas to obtai…

math.NT2017

Sign-change of the Fourier coefficients of a Hauptmodul for $Γ_{0} (2)$

Bingyang Hu, Dongxi Ye

In this short note, we aim to prove that the Fourier coefficients of the modular function $\frac{η ^{24} ( τ )}{η ^{24} ( 2 τ )}$ possess a sign-change property.

math.NT2017

Borcherds Products on Unitary Group $U (2, 1)$

Tonghai Yang, Dongxi Ye

In this note, we construct canonical bases for the spaces of weakly holomorphic modular forms with poles supported at the cusp $\infty$ for $Γ_{0} (4)$ of integral weight $k$ for $k…

math.NT2016

Analogues of the Ramanujan--Mordell Theorem

Shaun Cooper, Ben Kane, Dongxi Ye

The Ramanujan--Mordell Theorem for sums of an even number of squares is extended to other quadratic forms and quadratic polynomials.

Level 17 Ramanujan-Sato series

Series for 1/π of signature 20

Gross-Zagier Type CM Value Formulas on X0∗​(p)

Sign-change of the Fourier coefficients of a Hauptmodul for Γ0​(2)

Borcherds Products on Unitary Group U(2,1)

Analogues of the Ramanujan--Mordell Theorem

Level $17$ Ramanujan-Sato series

Series for $1/ π$ of signature 20

Gross-Zagier Type CM Value Formulas on $X_{0}^{*} (p)$

Sign-change of the Fourier coefficients of a Hauptmodul for $Γ_{0} (2)$

Borcherds Products on Unitary Group $U (2, 1)$