On the Application of the Matrix Formalism for the Heat Kernel to Number Theory
- Autores: Ivanov A.1
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Afiliações:
- St. Petersburg Department of Steklov Institute of Mathematics
- Edição: Volume 242, Nº 5 (2019)
- Páginas: 683-691
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243020
- DOI: https://doi.org/10.1007/s10958-019-04506-4
- ID: 243020
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Resumo
Earlier, in the study of combinatorial properties of the heat kernel of the Laplace operator with covariant derivative, a diagram technique and matrix formalism were constructed. In particular, the obtained formalism allows one to control the coefficients of the heat kernel, which is useful for calculations. In this paper, we consider a simple case with an Abelian connection in the two-dimensional space. This model allows us to give a mathematical description of the operators and find a relation between these operators and generating functions of numbers.
Sobre autores
A. Ivanov
St. Petersburg Department of Steklov Institute of Mathematics
Autor responsável pela correspondência
Email: regul1@mail.ru
Rússia, St. Petersburg