Home / Science / Mathematics / Number Theory / On the Theory of Maass Wave Forms

On the Theory of Maass Wave Forms

AUTHORS
Price
€29.70
€58.30 -49%
Available
Delivery 1-3 days

Add to wishlist

This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at the cutting edge of research are explored in depth, such as Maass wave forms of real weight and the cohomology attached to Maass wave forms and transfer operators. Because Maass wave forms are given a deep exploration, this book offers an indispensable resource for those entering the field.
Early chapters present a brief introduction to the theory of classical modular forms, with an emphasis on objects and results necessary to fully understand later material. Chapters 4 and 5 contain the book’s main focus: L-functions and period functions associated with families of Maass wave forms. Other topics include Maass wave forms of real weight, Maass cusp forms, and weak harmonic Maass wave forms. Engaging exercises appear throughout the book, with solutions available online.
On the Theory of Maass Wave Forms is ideal for graduate students and researchers entering the area. Readers in mathematical physics and other related disciplines will find this a useful reference as well. Knowledge of complex analysis, real analysis, and abstract algebra is required.

Authors: Muhlenbruch Tobias, Raji Wissam
Publisher: SPRINGER
Pages: 509
ISBN: 9783030404772
Cover: Paperback
Edition Number: 1
Release Year: 2020

1. A Brief Introduction to Modular Forms.- 2. Period Polynomials.- 3. Maass Wave Forms of Real Weight.- 4. Families of Maass Cusp Forms, L-Series and Eichler Integrals.- 5. Period Functions.- 6. Continued Fractions and the Transfer Operator Approach.- 7. Weak Harmonic Maass Wave Forms.- A. Background Material.- References.- Symbol Index.- Index.

Tobias Mühlenbruch, FernUniversität in Hagen, Hagen, Germany

Wissam Raji, American University of Beirut, Beirut, Lebanon

You may also like

Newsletter

Subscribe to the newsletter to be the first to receive our new releases and offers
Your account Your wishlist

This website uses cookies

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.