2 citations · 2 across the 4 of their papers we have counts for
5 papers
Weighted Generalizations of Zagier's Phenomenon
Dragomir Grozev, Navid Safaei
We study sums associated with the action of on continuous piecewise polynomial functions with exactly two real roots, both irrational. We form weighted sums of t…
MathNet: a Global Multimodal Benchmark for Mathematical Reasoning and Retrieval
Shaden Alshammari, Kevin Wen, Abrar Zainal +5
Mathematical problem solving remains a challenging test of reasoning for large language and multimodal models, yet existing benchmarks are limited in size, language coverage, and t…
Rationality of the inner products of spherical -distance -designs for ,
Peter Boyvalenkov, Hiroshi Nozaki, Navid Safaei
We prove that the inner products of spherical -distance -designs with (Delsarte codes) and are rational with the only exception being the icosahedron…
On spherical 4-distance 7-designs
Peter Boyvalenkov, Navid Safaei
We investigate spherical 4-distance 7-designs by studying their distance distributions. We compute these distance distributions and use their product (an integer) to derive certain…
On 3-distance spherical 5-designs
Peter Boyvalenkov, Navid Safaei
Inspired by a recently formulated conjecture by Bannai et al. we investigate spherical codes which admit exactly three different distances and are spherical 5-designs. Computing an…