3 citations · 4 across the 6 of their papers we have counts for
7 papers
Terminal Blocks of Primes in Pisot Numeration Systems
Sungkon Chang, Johann Verwee
We prove a prime number theorem for fixed terminal block words in Pisot integer numeration systems. If the dominant root is a Pisot number and the characteristic polynomial $P_…
Generalized Zeckendorf expansions of the 2nd order
Sungkon Chang
We generalize Zeckendorf's theorem to second-order linear recurrences of the form with arbitrary, coprime initial values . We analyze the…
Distribution of Zeckendorf expressions
Sungkon Chang
By Zeckendorf's Theorem, every positive integer is uniquely written as a sum of distinct non-adjacent Fibonacci terms. In this paper, we investigate the asymptotic formula of the n…
The weak converse of Zeckendorf's Theorem
Sungkon Chang
By Zeckendorf's Theorem, every positive integer is uniquely written as a sum of non-adjacent terms of the Fibonacci sequence, and its converse states that if a sequence in the posi…
Quadratic Twists of Elliptic Curves with Small Selmer Rank
Sungkon Chang
Given an elliptic curve E over the rational with no rational 2-torsion points, we prove the existence of a quadratic twist of E for which the 2-Selmer rank is less than or equal to…
On the arithmetic of twists of superelliptic curves
Sungkon Chang
In this paper, we consider a family of twists of a superelliptic curve over a global field, and obtain results on the distribution of the Mordell-Weil rank of these twists. Our res…