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

Let K be an algebraic function field in one indeterminate X over a finite field of constants k = IFq of characteristic p. Hence K/k is a congruence function field of transcendence degree one. Suppose that K/k is elliptic or hyperelliptic and that k has characteristic p ~ 2. Then K is a quadratic extension of the rational subfield K. . k(X). In fact there IS a square-free polynomial D c k[X] such that K = KO(~D ), and the integral closure of the polynomial ring k[X~ in K is R = k[X ,<D ]. Suppose moreover, that K/KO is a real quadratic extension, i.e. that the place at infinity pm of K. with respect to X splits in K: pa = plpz. ln analogy to the case of a real quadratic number field, the unit group U of the real quadratic function field K/k is the direct product of the finite cyclic group kx of non-zero constants and an infinite cyclic group <E> generated by the fundamental unit E of K: U = k’ x <E> . The absolute value of the normalized additive valuation Vp of E associated with pi, i.e. r =

An algorithm for determining the regulator and the fundamental unit of hyperelliptic congruence function field