The Bowman-Bradley theorem for multiple zeta-star values

The Bowman-Bradley theorem asserts that the multiple zeta values at the sequences obtained by inserting a fixed number of twos between 3,1,...,3,1 add up to a rational multiple of a power of pi. We establish its counterpart for multiple zeta-star values by showing an identity in a non-commutative polynomial algebra introduced by Hoffman.Comment: 17 page

A Bayesian Inference Method for a Large Magnitude Event in a Spatiotemporal Marked Point Process Representing Seismic Activity

A Bayesian method to forecast the occurrence time of a large-scale earthquake utilizing temporal information on earthquakes with smaller magnitudes was proposed in our recent study for a marked point process that simulates seismic activity. In this paper, we show the extension of this Bayesian approach in the spatiotemporal marked point process, aiming to yield a forecasting method for both the occurrence time and location of the next large earthquake. We particularly discuss the contribution of the correlations between the spatial position and the inter-event time interval at different magnitude scales to probabilistic forecasting