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Analysis of Hasse–Weil L-function and associated entire functions applied in mathematical physics.
- Source :
-
International Journal of Geometric Methods in Modern Physics . Aug2024, p1. 29p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study the analytic ranks of the Hasse–Weil L-function. We consider the products for the completed Hasse–Weil L-function in the framework of the theory of modular forms. We propose the new conjectures for the deformed Fourier sine and cosine integral formulas related to the completed Hasse–Weil L-functions and Mittag-Leffler function. We show the entire-function solutions for the fractional diffusion equations in mathematical physics. We also discuss the trivial zeros of the Hasse–Weil L-function. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02198878
- Database :
- Academic Search Index
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Publication Type :
- Academic Journal
- Accession number :
- 179319600
- Full Text :
- https://doi.org/10.1142/s0219887824503079