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math.NT2019★ 2 cited
Number theoretical properties of Romik's dynamical system
Byungchul Cha, Dong Han Kim
We study a dynamical system that was originally defined by Romik in 2008 using an old theorem of Berggren concerning Pythagorean triples. Romik's system is closely related to the F…
math.NT2015★ 3 cited
Prime number races for elliptic curves over function fields
Byungchul Cha, Daniel Fiorilli, Florent Jouve
We study the prime number race for elliptic curves over the function field of a proper, smooth and geometrically connected curve over a finite field. This constitutes a function fi…
math.NT2015★ 2 cited
Independence of the zeros of elliptic curve L-functions over function fields
Byungchul Cha, Daniel Fiorilli, Florent Jouve
The Linear Independence hypothesis (LI), which states roughly that the imaginary parts of the critical zeros of Dirichlet L-functions are linearly independent over the rationals, i…