On the Application of the Matrix Formalism for the Heat Kernel to Number Theory
- Авторы: Ivanov A.1
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Учреждения:
- St. Petersburg Department of Steklov Institute of Mathematics
- Выпуск: Том 242, № 5 (2019)
- Страницы: 683-691
- Раздел: 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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Аннотация
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.
Об авторах
A. Ivanov
St. Petersburg Department of Steklov Institute of Mathematics
Автор, ответственный за переписку.
Email: regul1@mail.ru
Россия, St. Petersburg