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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

For any k,n,q ∈N, where n≥ 2k+1≥ 3, and p ∈R+ the nth remainder ρ(n, p) of the Dirichlet eta function η(p), known also as the alternating Riemann zeta function, η(p) := ∞ ∑ i=1 (−1)i+1 1 ip , is given in the form ρ(n, p) = ∆q(n, p)+δq(k, p), where k and q are parameters controlling the magnitude of the error term δq(k, p). The function ∆q(n, p) consists of bq/2c+1 simple summands and δq(k,n, p) is estimated as ∣∣δq(k, p)∣∣< 53 · p(q−1) πq−1 · 1 (2k)p+q−1 , where p(q−1) is the rising Pochhammer product. 2010 Mathematics Subject Classification: 41A60; 65B10; 33E20; 33F05; 40A25

Efficient estimate of the remainder for the Dirichlet function η(p) for p ∈ R+