1 citations · 1 across the 15 of their papers we have counts for
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Self-intersection Points of Billiard Trajectories in a Square with Small Pockets
Anji Dong, Colin Edsey, Shuta Iwai +1
We study the self-intersections of billiard trajectories in a square with small pockets of size removed from its four corners. In particular, we establish an asymptot…
Representations as Sums of Icosahedral and Dodecahedral Numbers: Proof of Pollock's Conjectures
Debmalya Basak, Anji Dong, Katerina Saettone +1
On the occasion of George Andrews' and Bruce Berndt's combined 170th birthday, we prove two conjectures of Sir Frederick Pollock that are more than 170 years old. In 1843, Pollock…
Erdős-Moser Equation in Arithmetic Progressions
Anji Dong, Vi Anh Nguyen, Alexandru Zaharescu
We consider the Erdős-Moser equation in arithmetic progressions. We prove among other things that when , for any solution to exist, the above sum…
Admissible Pairs: A Variation to Pollock Conjectures
Anji Dong, Vi Anh Nguyen, Alexandru Zaharescu
We introduce a notion of an admissible pair, and prove a variation to Pollock's conjectures on icosahedral and dodecahedral numbers.
Effective Estimates for a Class of Farey Fraction Sums and Bounds for Mundici-Type Constants
Anji Dong, Huy Xuan Nguyen, Vi Anh Nguyen +1
Let denote the sum of squared distances between consecutive Farey fractions in the full interval . Daniele Mundici conjectured that $C(Q):=D_{2}(Q)\cdot Q^2/\log…
The Conjecture and the Riemann Hypothesis for Automorphic -functions
Anji Dong, Nawapan Wattanawanichkul, Alexandru Zaharescu
The conjecture asserts that the mollified second moments of the Riemann zeta function remain bounded for mollifiers of arbitrary polynomial length. We investigate an ana…
On a Conjecture about Sums Involving Farey Fractions
Anji Dong, Xinyi Li, Vi Anh Nguyen
In this paper, we prove a conjecture by Daniele Mundici on the sum of squared distances between consecutive elements in the -th Farey sequence for and …
Bilinear forms with Kloosterman fractions and applications
Anji Dong, Nicolas Robles, Dirk Zeindler
We establish improved bounds for bilinear forms with Kloosterman fractions of the form with , and $(m,n)=…