5 papers
Finite Directional Coefficient Modules over Euler Fibers of -Hypergeometric Systems
Go Okuyama
Let \(A\) be a full-rank integer matrix, let \(β\) be a complex parameter, and consider the associated \(A\)-hypergeometric system. Without assuming homogeneity, pointedness, or po…
Looking Again: Measuring Sycophancy in the Reasoning Chains of Multimodal Models Under Pressure
Mahir Numayeer Islam, Gakuto Okuyama, Nikolaus Siauw +3
Large multimodal reasoning models (LMRMs) are getting increasingly capable, primarily through generating explicit chain-of-thought reasoning before answering. In language models it…
Fourier-Orbit Construction of GKZ-Type Systems for Commutative Linear Algebraic Groups
Go Okuyama
We study GKZ-type D-modules arising from the actions of commutative linear algebraic groups G = TU (where T is a torus and U is unipotent) on a vector space. Building on Hotta's eq…
Logarithmic -hypergeometric series
Go Okuyama, Mutsumi Saito
We study the logarithmic coefficients that can occur at a fixed fake exponent in an -hypergeometric series subject to prescribed negative support conditions. Let $L=\operatornam…
Logarithmic A-hypergeometric series II
Go Okuyama, Mutsumi Saito
In this paper, following [6], we continue to develop the perturbing method of constructing logarithmic series solutions to a regular A-hypergeometric system. Fixing a fake exponent…