Get the up-to-date Siegel Modular Forms 2025 now

Show details

4 out of 5

56 votes

The document presents a comprehensive overview of Siegel modular forms, focusing on their significance in number theory and algebraic geometry. It includes a survey of the author's contributions to the field, particularly regarding vector-valued Siegel modular forms of genus 2 and conjectures related to congruences between these forms and elliptic modular forms. The text discusses the general theory of automorphic representations, the geometry of moduli spaces, and various aspects of modular forms including Fourier expansions, Hecke operators, and their applications. Additionally, it addresses Harder's conjecture on congruences between eigenvalues of Siegel modular forms and provides evidence supporting this conjecture through calculations involving traces of Hecke operators.

Here's how it works

01. Edit your form online

Type text, add images, blackout confidential details, add comments, highlights and more.

02. Sign it in a few clicks

Draw your signature, type it, upload its image, or use your mobile device as a signature pad.

03. Share your form with others

Send it via email, link, or fax. You can also download it, export it or print it out.

How to quickly redact Siegel Modular Forms online

Ease of Setup

DocHub User Ratings on G2

Ease of Use

DocHub User Ratings on G2

Dochub is the greatest editor for changing your paperwork online. Adhere to this simple guideline redact Siegel Modular Forms in PDF format online at no cost:

Sign up and log in. Register for a free account, set a secure password, and go through email verification to start managing your forms.
Upload a document. Click on New Document and choose the file importing option: add Siegel Modular Forms from your device, the cloud, or a secure URL.
Make adjustments to the template. Use the upper and left panel tools to modify Siegel Modular Forms. Insert and customize text, images, and fillable fields, whiteout unneeded details, highlight the significant ones, and provide comments on your updates.
Get your paperwork accomplished. Send the form to other parties via email, create a link for quicker document sharing, export the template to the cloud, or save it on your device in the current version or with Audit Trail included.

Try all the benefits of our editor today!

be ready to get more

Complete this form in 5 minutes or less

Get form

Got questions?

We have answers to the most popular questions from our customers. If you can't find an answer to your question, please contact us.

What is the theory of modular forms?

Modular form theory is a special case of the more general theory of automorphic forms, which are functions defined on Lie groups that transform nicely with respect to the action of certain discrete subgroups, generalizing the example of the modular group. .

What is a modular form in simple terms?

Definition. Modularity Theory (or the Theory of Interdependence and Modularity) explains how different parts of a systems architecture relate to one another and consequently affect the development and adoption of that system.

What is the theory of modularity?

The Theory of Modularity The degree to which selected modules possesses functionality performance, determines the maximum performance of the resulting composite modular entity, throttled by the architecture and limited by the interface capability.

What is the theory of modular design?

Modular forms are complex analytic objects, but they also have many intimate connections with number theory. This paper introduces some of the basic results on modular forms, and explores some of their uses in number theory.

What is the modular form of weight K?

The set of modular forms of weight k is a complex vector space, denoted by Mk; in this connection, MkMlMk+l. The direct sum ⨁k=0Mk forms a graded algebra isomorphic to the ring of polynomials in the independent variables G4 and G6( see [3]).

Who discovered modular forms?

The modular form of weight one in the OP was indeed published by Klein in 1878, but it appeared already in a 1858 paper by Hermite and was implicit in work by Gauss. (Roy writes extensively on Gauss early contributions to modular forms in chapter 2.)

What is the Koechers principle?

Koecher principle The theorem known as the Koecher principle states that if is a Siegel modular form of weight , level 1, and degree , then is bounded on subsets of of the form.

Get the up-to-date Siegel Modular Forms 2025 now

Here's how it works