How Long to Read Period Functions for Maass Wave Forms and Cohomology

How Long Does it Take to Read Period Functions for Maass Wave Forms and Cohomology?

It takes the average reader 2 hours and 13 minutes to read Period Functions for Maass Wave Forms and Cohomology by R. Bruggeman

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

Description

The authors construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups Γ⊂PSL2(R). In the case that Γ is the modular group PSL2(Z) this gives a cohomological framework for the results in Period functions for Maass wave forms. I, of J. Lewis and D. Zagier in Ann. Math. 153 (2001), 191-258, where a bijection was given between cuspidal Maass forms and period functions. The authors introduce the concepts of mixed parabolic cohomology group and semi-analytic vectors in principal series representation. This enables them to describe cohomology groups isomorphic to spaces of Maass cusp forms, spaces spanned by residues of Eisenstein series, and spaces of all Γ-invariant eigenfunctions of the Laplace operator. For spaces of Maass cusp forms the authors also describe isomorphisms to parabolic cohomology groups with smooth coefficients and standard cohomology groups with distribution coefficients. They use the latter correspondence to relate the Petersson scalar product to the cup product in cohomology.

How long is Period Functions for Maass Wave Forms and Cohomology?

Period Functions for Maass Wave Forms and Cohomology by R. Bruggeman is 132 pages long, and a total of 33,264 words.

This makes it 45% the length of the average book. It also has 41% more words than the average book.

How Long Does it Take to Read Period Functions for Maass Wave Forms and Cohomology Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 1 minute to read Period Functions for Maass Wave Forms and Cohomology aloud.

What Reading Level is Period Functions for Maass Wave Forms and Cohomology?

Period Functions for Maass Wave Forms and Cohomology 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 Period Functions for Maass Wave Forms and Cohomology?

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