1 citations · 1 across the 5 of their papers we have counts for
15 papers
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.
Zeros of Polynomials in Derivatives of Automorphic -functions
Anji Dong, Nawapan Wattanawanichkul, Alexandru Zaharescu
Let be the set of all cuspidal automorphic representations of , and let be a polynomial in the derivat…
Binomial coefficients with divisors avoiding an interval
Hung M. Bui, Slava Naprienko, Kyle Pratt +1
We solve a fifty-year-old conjecture of ErdÅs and Graham concerning whether the binomial coefficient with must always have a divisor $\…
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…