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بررسی حسابی فرم های مربعی چندمتغیره
محمدی، رسول Mohammadi, Rasoul
- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 42440 (02)
- University: Sharif University of Technology
- Department: Mathematical Sciences
- Advisor(s): Jafari, Amir
- Abstract:
- In this thesis we review several arithmetical questions about the diophantine equation φ[x]=q where φ is a nondegenerate symmetric bilinear form on a finite dimensional vector space, φ[x] is the corresponding quadratic form and q is a nonzero element of the ground field. We obtain class number and mass formulae for the orthogonal group associated to φ in a number field utilizing the concept of quadratic forms, lattices and adelic language
- Keywords:
- Class Number ; Quadratic Forms ; Mass Number
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محتواي پايان نامه
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