How Long to Read Orthogonal and Symplectic -level Densities

How Long Does it Take to Read Orthogonal and Symplectic -level Densities?

It takes the average reader 1 hour and 34 minutes to read Orthogonal and Symplectic -level Densities by A. M. Mason

Assuming a reading speed of 250 words per minute. Learn more

Description

In this paper the authors apply to the zeros of families of -functions with orthogonal or symplectic symmetry the method that Conrey and Snaith (Correlations of eigenvalues and Riemann zeros, 2008) used to calculate the -correlation of the zeros of the Riemann zeta function. This method uses the Ratios Conjectures (Conrey, Farmer, and Zimbauer, 2008) for averages of ratios of zeta or -functions. Katz and Sarnak (Zeroes of zeta functions and symmetry, 1999) conjecture that the zero statistics of families of -functions have an underlying symmetry relating to one of the classical compact groups , and . Here the authors complete the work already done with (Conrey and Snaith, Correlations of eigenvalues and Riemann zeros, 2008) to show how new methods for calculating the -level densities of eigenangles of random orthogonal or symplectic matrices can be used to create explicit conjectures for the -level densities of zeros of -functions with orthogonal or symplectic symmetry, including all the lower order terms. They show how the method used here results in formulae that are easily modified when the test function used has a restricted range of support, and this will facilitate comparison with rigorous number theoretic -level density results.

How long is Orthogonal and Symplectic -level Densities?

Orthogonal and Symplectic -level Densities by A. M. Mason is 93 pages long, and a total of 23,529 words.

This makes it 31% the length of the average book. It also has 29% more words than the average book.

How Long Does it Take to Read Orthogonal and Symplectic -level Densities Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 8 minutes to read Orthogonal and Symplectic -level Densities aloud.

What Reading Level is Orthogonal and Symplectic -level Densities?

Orthogonal and Symplectic -level Densities is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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