Y. Dan

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20092026

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math.NT2026

Critical convergence and Hausdorff measures for generalized Flint Hills series

Yuya Dan

We study the generalized Flint Hills series $F_{s, t} (x) = \sum_{n \geq 1} n^{- s} ∣ sin (π n x) ∣^{- t}$ for $s > 0$ and $t > 1$ . An explicit comparison with a series over continued-frac…

cs.HC2026

How a Chatbot's Response Style Shapes a Classroom: A Multi-Agent Simulation of Students Consulting AI

Rin Tamai, Yuya Dan

Chatbots built on large language models (LLMs) are increasingly used as confidants. Tuned to satisfy users, they may answer with excessive empathy and affirmation that fosters depe…