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9 papers · 1 filter
Generalized Partitioned Quantum Cellular Automata and Quantization of Classical CA
Shuichi Inokuchi, Yoshihiro Mizoguchi
In this paper, in order to investigate natural transformations from discrete CA to QCA, we introduce a new formulation of finite cyclic QCA and generalized notion of partitioned QC…
On F-pure thresholds
Shunsuke Takagi, Kei-ichi Watanabe
Using the Frobenius map, we introduce a new invariant for a pair $(R,\a)$ of a ring and an ideal $\a \subset R$, which we call the F-pure threshold $\mathrm{c}(\a)$ of $\a$, an…
Correlation functions of the shifted Schur measure
Sho Matsumoto
The shifted Schur measure introduced by Tracy and Widom is a measure on the set of all strict partitions, which is defined by Schur -functions. The main aim of this paper is to…
Applications of Minor Summation Formula III, Plucker Relations, Lattice Paths and Pfaffian Identities
Masao Ishikawa, Masato Wakayama
The initial purpose of this paper is to provide a combinatorial proof of the minor summation formula of Pfaffians based on the lattice path method. There we related Plücker relatio…
On the local factor of the zeta function of quadratic orders
Masanobu Kaneko
We prove by an elementary method the Riemann hypothesis for the local Euler factor of the zeta function of quadratic orders.
A Scaling Limit for t-Schur Measures
Sho Matsumoto
We introduce a generalization of the Schur measure. And we give a combinatorial interpretation to this generalized measure and prove that a scaling limit for this measure is given…