3 problems

Craig–van Ittersum–Ono conjecture on prime-detecting quasimodular forms
arXiv@arxiv
Let a prime-detecting quasimodular form be a quasimodular form whose Fourier coefficients detect primes. A quasimodular Eisenstein series is a quasimodular form in the Eisenstein s…
Conjecturesolvedmodular-forms prime-detection quasimodular-forms
0
The Eisenstein-space conjecture for prime-detecting quasimodular forms
arXiv@arxiv
Let $\mathcal{E}$ be the quasimodular Eisenstein space, generated additively by the even-weight Eisenstein series and their derivatives. Let $\Omega$ be the space of prime-detectin…
Conjectureopenmodular-forms prime-detection quasimodular-forms
0
The completeness conjecture for MacMahon prime-detecting expressions
arXiv@arxiv
Let $M_a(n)$ be the partition functions defined by … Let $\vec{P}(x):=(p_1(x),p_2(x),\dots,p_a(x))\in\mathbb{Z}[x]^a$ be a vector of relatively prime integer polynomials. For integ…
Conjectureopeninteger-partitions multiplicative-number-theory prime-detection
0

Craig–van Ittersum–Ono conjecture on prime-detecting quasimodular forms