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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Andrews and Merca investigated a truncated version of Euler's pentagonalnumber theorem and showed that the coefficients of the truncated series arenonnegative. They also considered the truncated series arising from Jacobi'striple product identity, and they that its coefficients are nonnegative. Thisconjecture was posed by Guo and Zeng independently and confirmed by Mao and Yeeusing different approaches. In this paper, we provide a new combinatorial proofof their nonnegativity result related to Euler's pentagonal number theorem.Meanwhile, we find an analogous result for a truncated series arising fromJacobi's triple product identity in a different manner.

Truncated Series with Nonnegative Coefficients from the Jacobi Triple Product