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

The value distribution of derivatives of characteristic polynomials ofmatrices from SO(N) is calculated at the point 1, the symmetry point on theunit circle of the eigenvalues of these matrices. We consider subsets ofmatrices from SO(N) that are constrained to have $n$ eigenvalues equal to 1,and investigate the first non-zero derivative of the characteristic polynomialat that point.  The connection between the values of random matrix characteristic polynomialsand values of $L$-functions in families has been well-established. Themotivation for this work is the expectation that through this connection with$L$-functions derived from families of elliptic curves, and using the Birch andSwinnerton-Dyer conjecture to relate values of the $L$-functions to the rank ofelliptic curves, random matrix theory will be useful in probing importantquestions concerning these ranks

Derivatives of random matrix characteristic polynomials with applications to elliptic curves