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On the Theory of Maass Wave Forms (Paperback, 1st ed. 2020)
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On the Theory of Maass Wave Forms (Paperback, 1st ed. 2020)
Series: Universitext
Expected to ship within 10 - 15 working days
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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.
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