28.12.2012 Views

Figure Properties - SERC

Figure Properties - SERC

Figure Properties - SERC

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

iemann—Matrix associated with the Riemann hypothesis<br />

gallery<br />

A = gallery('riemann',n) returns an n-by-n matrix for which the Riemann<br />

hypothesis is true if and only if<br />

1<br />

– -- + ε<br />

det( A)<br />

= On!n ( 2 )<br />

for every ε > 0 .<br />

The Riemann matrix is defined by:<br />

A = B(2:n+1,2:n+1)<br />

where B(i,j) = i-1 if i divides j, and B(i,j) = -1 otherwise.<br />

The Riemann matrix has these properties:<br />

Each eigenvalue e(i) satisfies abs(e(i))

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!