English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

For $g=8,12,16$ and $24$, there is a nonzero alternating $g$-multilinear formon the ${\rm Leech}$ lattice, unique up to a scalar, which is invariant by theorthogonal group of ${\rm Leech}$. The harmonic Siegel theta series built fromthese alternating forms are Siegel modular cuspforms of weight $13$ for ${\rmSp}_{2g}(\mathbb{Z})$. We prove that they are nonzero eigenforms, determine oneof their Fourier coefficients, and give informations about their standard ${\rmL}$-functions. These forms are interesting since, by a recent work of theauthors, they are the only nonzero Siegel modular forms of weight $13$ for${\rm Sp}_{2n}(\mathbb{Z})$, for any $n\geq 1$.

Siegel modular forms of weight 13 and the Leech lattice