We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Arithmetic identities associated with quadratic forms and their applications.
- Authors
Bykovskii, V.; Monina, M.
- Abstract
The article discusses the arithmetic method for proving classes of identities derived from the theta-functions for triple and quintuple products. It refers to the reconstruction of Liouville's theorem by Baskakov, Nazimov, and Uspenskii over the absence of proof on many arithmetic identities calculated by the number of quadratic forms of special forms. The authors have proposed that L should be in a nonzero linear form in the equation. Several remarks have been observed which includes one which suggests the requirement of bijectivity of the first and second involution based on the implications of the first and second conditions to the bijectivity of third involution.
- Subjects
THETA functions; ARITHMETIC problems &; exercises; IDENTITIES (Mathematics); SET theory; LINEAR equations; QUADRATIC forms; BIJECTIONS; MATHEMATICAL equipollence; INJECTIVE functions
- Publication
Doklady Mathematics, 2013, Vol 87, Issue 2, p202
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562413020257