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math.DS2025
Standard conjecture D and some conjectures around Weil's Riemann hypothesis
Tuyen Trung Truong
Let be a smooth projective variety defined on a finite field . On there is a special morphism , which raises coordinates to exponent : …
math.DS2025
Backtracking New Q-Newton's method for finding roots of meromorphic functions in 1 complex variable: Global convergence, and local stable/unstable curves
John Erik Fornæss, Mi Hu, Tuyen Trung Truong
In this paper, we research more in depth properties of Backtracking New Q-Newton's method (recently designed by the third author), when used to find roots of meromorphic functions.…
math.DS2024
The Riemann hypothesis and dynamics of Backtracking New Q-Newton's method
Thuan Quang Tran, Tuyen Trung Truong
A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - was recently introduced by the second author. This method has good global convergence guarantee…