This note extends and interprets a result of Saito and Mitsui [SIAM J. Numer. Anal., 33 (1996), pp. 2254–2267] for a method of Milstein. The result concerns mean-square stability on a stochastic differential equation test problem with multiplicative noise. The numerical method reduces to the Theta Method on deterministic problems. Saito and Mitsui showed that the deterministic A-stability prope...

Connections of KP, qKP, and Moyal type dKP constructions are developed. Some expansion of the Moyal KP constructions of Kemmoku-Saito is given with clarification of the role of spectral variables as a phase space.

In this paper we extend a conjecture of Katsurada’s characterizing the congruence primes of Saito-Kurokawa lifts of weight κ and full level in terms of the divisibility of Lalg(κ, f) to the case of odd square-free level. After stating the conjecture, we provide evidence for the conjecture by constructing a congruence.

This paper argues that gapping in Japanese is best analyzed as the product of the interaction of Coordinate Ellipsis with Dependence Ellipsis originally proposed by Williams (1997) and further extended by Ackema and Szendröi (2002). The proposed analysis correctly derives several core properties of verb gapping in Japanese such as contrastive focus associated with overt remnants, and the role o...

We define certain extensions of affine Weyl groups (distinct from these considered by K. Saito [S1] in the theory of extended affine root systems), prove an analogue of Chevalley theorem for their invariants, and construct a Frobenius structure on their orbit spaces. This produces solutions F (t1, . . . , tn) of WDVV equations of associativity polynomial in t1, . . . , tn−1, exp tn.

N Sumitomo, K Harada, M Nagashima, T Yasuda, Y Nakamura, Y Aragaki, A Saito, K Kurosaki, K Jouo, M Koujiro, S Konishi, S Matsuoka, T Oono, S Hayakawa, M Miura, H Ushinohama, T Shibata, I Niimura . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

We give a q-analysis version of a discretization procedure of Kemmoku and Saito leading to an apparently new q-Moyal type bracket. 2000 Mathematics Subject Classification. 81R50, 81S30.

Abstract Duke and Imamoglu showed that the Saito–Kurokawa lift for Siegel modular forms can in an elegant manner be obtained from a converse theorem by Imai using spectral analysis of hyperbolic Laplacian. In earlier paper we gave simplified approach without any appeal to analysis. Here want show, this generalizes some orthogonal groups signature $$(2,m+2)$$ <mml:math xmlns:mml="http://www.w3.o...

We consider a special theta lift $\theta(f)$ from cuspidal Siegel modular forms $f$ on $\mathrm{Sp}_4$ to "modular forms" $\mathrm{SO}(4,4)$. This can be considered an analogue of the Saito-Kurokawa lift, where now image is representations $\mathrm{SO}(4,4)$ that are quaternionic at infinity. relate Fourier coefficients those $f$, and in particular prove nonzero has algebraic if does. Restricti...

K Fujiki, H Ishiguro, S BH Ko, N Mizuno, Y Suzuki, T Takemura, A Yamamoto, T Yoshikawa, M Kitagawa, T Hayakawa, Y Sakai, T Takayama, M Saito, T Kondo, S Naruse . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....