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Explicit computations of Ask Zeta functions

Alzahrani, Sultan
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PhD thesis
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Identifiers
http://hdl.handle.net/10379/17540
 https://doi.org/10.13025/16081
Publication Date
2022-09-12
Keywords
Matrices of linear forms, Weak equivalence, Knuth duality, Matrix pencils, Modules of matrices, Relation modules, Module representations, Conjugacy classes, Zeta functions, p-adic inegration, Science and Engineering, Mathematical and Statistical Sciences, Mathematics
Type
doctoral thesis
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Abstract
This thesis is devoted to the study of a particular type of zeta function: ask zeta functions associated with modules of matrices. These zeta functions are obtained by averaging over the sizes of the kernels of matrices obtained from modules of matrices or module representations. Explicit formulae are obtained using methods from p-adic integration and through applications of classification results for matrices of linear forms (matrix pencils, in particular).
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NUI Galway
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University of Galway Theses (PhD Theses)