How Long to Read Capacity Theory with Local Rationality

How Long Does it Take to Read Capacity Theory with Local Rationality?

It takes the average reader 7 hours and 29 minutes to read Capacity Theory with Local Rationality by Robert Rumely

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

Description

This book is devoted to the proof of a deep theorem in arithmetic geometry, the Fekete-Szegö theorem with local rationality conditions. The prototype for the theorem is Raphael Robinson's theorem on totally real algebraic integers in an interval, which says that if is a real interval of length greater than 4, then it contains infinitely many Galois orbits of algebraic integers, while if its length is less than 4, it contains only finitely many. The theorem shows this phenomenon holds on algebraic curves of arbitrary genus over global fields of any characteristic, and is valid for a broad class of sets. The book is a sequel to the author's work Capacity Theory on Algebraic Curves and contains applications to algebraic integers and units, the Mandelbrot set, elliptic curves, Fermat curves, and modular curves. A long chapter is devoted to examples, including methods for computing capacities. Another chapter contains extensions of the theorem, including variants on Berkovich curves. The proof uses both algebraic and analytic methods, and draws on arithmetic and algebraic geometry, potential theory, and approximation theory. It introduces new ideas and tools which may be useful in other settings, including the local action of the Jacobian on a curve, the "universal function" of given degree on a curve, the theory of inner capacities and Green's functions, and the construction of near-extremal approximating functions by means of the canonical distance.

How long is Capacity Theory with Local Rationality?

Capacity Theory with Local Rationality by Robert Rumely is 437 pages long, and a total of 112,309 words.

This makes it 147% the length of the average book. It also has 137% more words than the average book.

How Long Does it Take to Read Capacity Theory with Local Rationality Aloud?

The average oral reading speed is 183 words per minute. This means it takes 10 hours and 13 minutes to read Capacity Theory with Local Rationality aloud.

What Reading Level is Capacity Theory with Local Rationality?

Capacity Theory with Local Rationality is suitable for students ages 12 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.

Where Can I Buy Capacity Theory with Local Rationality?

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