26 citations · 49 across the 41 of their papers we have counts for
6 papers · 1 filter
Pseudo-normalized Hecke eigenform and its application to extremal -modular lattices
Tsuyoshi Miezaki, Gabriele Nebe
It is shown that extremal -modular lattices of ranks and are generated by their vectors of minimal norm. In the proof, we use certain properties of the difference of n…
The McKay-Thompson series of Mathieu Moonshine modulo two
Thomas Creutzig, Gerald Höhn, Tsuyoshi Miezaki
In this note, we describe the parity of the coefficients of the McKay-Thompson series of Mathieu moonshine. As an application, we prove a conjecture of Cheng, Duncan and Harvey sta…
Frames in the odd Leech lattice
Tsuyoshi Miezaki
In this paper, we show that there is a frame of norm k in the odd Leech lattice for every k\ge 3.
Toy models for D. H. Lehmer's conjecture II
Eiichi Bannai, Tsuyoshi Miezaki
In the previous paper, we studied the "Toy models for D. H. Lehmer's conjecture". Namely, we showed that the m-th Fourier coefficient of the weighted theta series of the $\mathbb{Z…
Toy models for D. H. Lehmer's conjecture
Eiichi Bannai, Tsuyoshi Miezaki
In 1947, Lehmer conjectured that the Ramanujan -function never vanishes for all positive integers , where the are the Fourier coefficients of the cusp form $Δ_{…
On the zeros of Eisenstein series for and
Tsuyoshi Miezaki, Hiroshi Nozaki, Junichi Shigezumi
We locate all of the zeros of the Eisenstein series associated with the Fricke groups and in their fundamental domains by applying and expanding the metho…