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Titlebook: Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change; Jayce Getz,Mark Goresky Book 2012 Springer Bas

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The Automorphic Description of Intersection Cohomology,
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Hilbert Modular Forms with Coefficients in a Hecke Module,
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Book 2012the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not
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Book 2012 Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces.
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H. Bösmüllernd used frequently throughout the book. Another major goal of the book is to provide students with enough practical understanding of the methods so they are able to write simple programs on their own. To achieve this, the book contains several MATLAB programs and detailed description of practical is
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