How Long to Read The Theory of Jacobi Forms

By Martin Eichler

How Long Does it Take to Read The Theory of Jacobi Forms?

It takes the average reader 2 hours and 30 minutes to read The Theory of Jacobi Forms by Martin Eichler

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

Description

The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL (~) to be a holomorphic function 2 (JC = upper half-plane) satisfying the t\-10 transformation eouations 2Tiimcz· k CT +d a-r +b z) (1) ((cT+d) e cp(T, z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four·ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T, z) 2: c(n, r) 2:: rE~ n=O 2 r ~ 4nm Here k and m are natural numbers, called the weight and index of rp, respectively. Note that th e function cp (T, 0) is an ordinary modular formofweight k, whileforfixed T thefunction z-+rjl( -r, z) isa function of the type normally used to embed the elliptic curve ~/~T + ~ into a projective space. If m= 0, then cp is independent of z and the definition reduces to the usual notion of modular forms in one variable. We give three other examples of situations where functions satisfying (1)-(3) arise classically: 1. Theta series. Let Q: ~-+ ~ be a positive definite integer valued quadratic form and B the associated bilinear form.

How long is The Theory of Jacobi Forms?

The Theory of Jacobi Forms by Martin Eichler is 150 pages long, and a total of 37,500 words.

This makes it 51% the length of the average book. It also has 46% more words than the average book.

How Long Does it Take to Read The Theory of Jacobi Forms Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 24 minutes to read The Theory of Jacobi Forms aloud.

What Reading Level is The Theory of Jacobi Forms?

The Theory of Jacobi Forms 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.

Where Can I Buy The Theory of Jacobi Forms?

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