Approach to Markoff's Minimal Forms Through Modular Functions
β Scribed by Harvey Cohn
- Book ID
- 121318407
- Publisher
- John Hopkins University Press
- Year
- 1955
- Tongue
- English
- Weight
- 689 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0003-486X
- DOI
- 10.2307/1969618
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## Abstract For the purpose of illustrating methods for treating the chemisorption problem, which take into account bulk properties of the crystal, it is shown how the singleβparticle Green's function may be used to solve the selfβconsistent SchrΓΆdinger equations for an adatomβsubstrate system. The
We associate zeta functions in two variables with the vector space of binary hermitian forms and prove their functional equation. From Weil's converse theorem, we can show that the Mellin inverse transforms of these zeta functions give elliptic modular forms if they are specialized to one-variable z