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4 papers · 1 filter
Asymptotic function for multi-growth surfaces using power-law noise
H. Katsuragi, H. Honjo
Numerical simulations are used to investigate the multiaffine exponent and multi-growth exponent of ballistic deposition growth for noise obeying a power-law distributi…
On the cellular decomposition and the Lusternik-Schnirelmann category of
Norio Iwase, Mamoru Mimura, Tetsu Nishimoto
We give a cellular decomposition of the compact connected Lie group . We also determine the L-S categories of and .
A variation of Euler's approach to values of the Riemann zeta function
Masanobu Kaneko, Nobushige Kurokawa, Masato Wakayama
An elementary method of computing the values at negative integers of the Riemann zeta function is presented. The principal ingredient is a new q-analogue of the Riemann zeta functi…
Quasimodular solutions of a differential equation of hypergeometric type
Masanobu Kaneko, Masao Koike
Solutions which are quasimodular forms to a second order differential equation attached to a triangular group are explicitly described in terms of certain orthogonal polynomials.