How Long to Read Congruences for L-Functions

How Long Does it Take to Read Congruences for L-Functions?

It takes the average reader 4 hours and 22 minutes to read Congruences for L-Functions by J. Urbanowicz

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

Description

In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2. Their congruence provided a unified setting for many congruences proved previously by other authors using various means. The Hardy-Williams idea was as follows. Let d be the discriminant of a quadratic field. Suppose that d is odd and let d = PIP2· . . Pn be its unique decomposition into prime discriminants. Then, for any positive integer k coprime with d, the congruence holds trivially as each Legendre-Jacobi-Kronecker symbol (~) has the value + 1 or -1. Expanding this product gives ~ eld e:=l (mod4) where e runs through the positive and negative divisors of d and v (e) denotes the number of distinct prime factors of e. Summing this congruence for o

How long is Congruences for L-Functions?

Congruences for L-Functions by J. Urbanowicz is 256 pages long, and a total of 65,536 words.

This makes it 86% the length of the average book. It also has 80% more words than the average book.

How Long Does it Take to Read Congruences for L-Functions Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 58 minutes to read Congruences for L-Functions aloud.

What Reading Level is Congruences for L-Functions?

Congruences for L-Functions 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 Congruences for L-Functions?

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