4 papers
math.CO2026
Side-to-side Tiling of the Sphere by Congruent Curvilinear Triangles
Keyi Jin, Linming Lu, Erxiao Wang +2
The edge-to-edge tilings of the sphere by congruent polygons, where all edges are straight, have been completely classified. We classify the curvilinear version of the similar tria…
math.NT2026
Additive problems on
Lingyu Guo, Victor Zhenyu Guo, Li Lu
The sequence is an important subsequence of the well-known Piatetski-Shapiro sequence,…
math.NT2025
Improvements on exponential sums related to Piatetski-Shapiro primes
Li Lu, Lingyu Guo, Victor Z. Guo
We prove a new bound to the exponential sum of the form $$ \sum_{h \sim H}δ_h \mathop{\sum_{m\sim M}\sum_{n\sim N}}_{mn\sim x}a_{m}b_{n}\e\big(αmn + h(mn + u)^γ\big), $$ by a ne…
math.NT2025
The Piatetski-Shapiro prime number theorem
Lingyu Guo, Victor Zhenyu guo, Li Lu
The Piatetski-Shapiro sequences are of the form , where is the integer part. It is expected that th…