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Shintani cocycles and generalized dedekind sums / Shubin Hu.
LIBRA QA001 1997 .H874
Available from offsite location
LIBRA Diss. POPM1997.311
Available from offsite location
- Format:
- Book
- Manuscript
- Microformat
- Thesis/Dissertation
- Author/Creator:
- Hu, Shubin.
- Language:
- English
- Subjects (All):
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Local Subjects:
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Physical Description:
- vi, 67 pages ; 29 cm
- Production:
- 1997.
- Summary:
- In this thesis, we study Shintani cocycles for PGL$\sb{n}(\doubq)$ and explore their application to generalized Dedekind sums.
- We give a construction of Shintani cocycles in terms of Shintani generating functions and show that our construction satisfies the cocycle condition in dimensions 1, 2 and 3. The cocycle in dimension 2 gives reciprocity laws for generalized Dedekind sums. In addition, a partial cocycle law in all dimensions (applying to the so-called "geometrically non-degenerate" cases) gives new linear relations among multiple Dedekind sums.
- Notes:
- Adviser: Ted Chinburg.
- Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 1997.
- Includes bibliographical references.
- Local Notes:
- University Microfilms order no.: 98-14860.
- OCLC:
- 187457229
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