The behaviour of Galois Gauss sums with respect to restriction of characters

The behaviour of Galois Gauss sums with respect to restriction of characters

The theory of abelian and non-abelian L-functions is developed with a view to providing an understanding of the Langlands-Deligne local root number and local Galois Gauss sum. The relationship between the Galois Gauss sum of a character of a group and the Galois Gauss sum of the restriction of that...

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Main Author: Margolick, Michael William
Language:English
Published: 2010
Subjects:
Gaussian processes
Galois theory
Online Access:http://hdl.handle.net/2429/21635
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spelling ndltd-UBC-oai-circle.library.ubc.ca-2429-216352018-01-05T17:41:09Z The behaviour of Galois Gauss sums with respect to restriction of characters Margolick, Michael William Gaussian processes Galois theory The theory of abelian and non-abelian L-functions is developed with a view to providing an understanding of the Langlands-Deligne local root number and local Galois Gauss sum. The relationship between the Galois Gauss sum of a character of a group and the Galois Gauss sum of the restriction of that character to a subgroup is examined. In particular a generalization of a theorem of Hasse-Davenport (1934) to the global, non-abelian case is seen to result from the relation between Galois Gauss sums and the adelic resolvents of Fröhlich. Science, Faculty of Mathematics, Department of Unknown 2010-03-06T00:22:55Z 2010-03-06T00:22:55Z 1978 Text Thesis/Dissertation http://hdl.handle.net/2429/21635 eng For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
collection NDLTD
language English
sources NDLTD
topic Gaussian processes
Galois theory
spellingShingle Gaussian processes
Galois theory
Margolick, Michael William
The behaviour of Galois Gauss sums with respect to restriction of characters
description The theory of abelian and non-abelian L-functions is developed with a view to providing an understanding of the Langlands-Deligne local root number and local Galois Gauss sum. The relationship between the Galois Gauss sum of a character of a group and the Galois Gauss sum of the restriction of that character to a subgroup is examined. In particular a generalization of a theorem of Hasse-Davenport (1934) to the global, non-abelian case is seen to result from the relation between Galois Gauss sums and the adelic resolvents of Fröhlich. === Science, Faculty of === Mathematics, Department of === Unknown
author Margolick, Michael William
author_facet Margolick, Michael William
author_sort Margolick, Michael William
title The behaviour of Galois Gauss sums with respect to restriction of characters
title_short The behaviour of Galois Gauss sums with respect to restriction of characters
title_full The behaviour of Galois Gauss sums with respect to restriction of characters
title_fullStr The behaviour of Galois Gauss sums with respect to restriction of characters
title_full_unstemmed The behaviour of Galois Gauss sums with respect to restriction of characters
title_sort behaviour of galois gauss sums with respect to restriction of characters
publishDate 2010
url http://hdl.handle.net/2429/21635
work_keys_str_mv AT margolickmichaelwilliam thebehaviourofgaloisgausssumswithrespecttorestrictionofcharacters
AT margolickmichaelwilliam behaviourofgaloisgausssumswithrespecttorestrictionofcharacters
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