Shubham Gupta

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20232026

most citedGemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilities

49 citations · 50 across the 9 of their papers we have counts for

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math.FA2026

Sharp asymptotics for higher-order Hardy constants on lattices

Shubham Gupta

We study the optimal constants in higher-order Hardy inequalities on the lattice $Z^{d}$ . For each fixed $ℓ \in N$ , we prove that the optimal constant $\mathcal{…

math.FA2024

Discrete functional inequalities on lattice graphs

Shubham Gupta

In this thesis, we study problems at the interface of analysis and discrete mathematics. We discuss analogues of well known Hardy-type inequalities and Rearrangement inequalities o…