Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Advance publication (2019), 10 pages.
Proof of a Conjecture of Farkas and Kra
In this paper we prove a conjecture of Farkas and Kra, which is a modular equation involving a half sum of certain modular form of weight $1$ for congruence subgroup $\Gamma_1(k)$ with any prime $k$. We prove that their conjecture holds for all odd integers $k \geq 3$. A new modular equation of Farkas and Kra type is also established.
Taiwanese J. Math., Advance publication (2019), 10 pages.
First available in Project Euclid: 13 March 2019
Permanent link to this document
Digital Object Identifier
Zhou, Nian Hong. Proof of a Conjecture of Farkas and Kra. Taiwanese J. Math., advance publication, 13 March 2019. doi:10.11650/tjm/190301. https://projecteuclid.org/euclid.twjm/1552442420