6 citations · 14 across the 7 of their papers we have counts for
7 papers
More on the corner-vector construction for spherical designs
Kenji Tanino, Tomoki Tamaru, Masatake Hirao +1
This paper explores a full generalization of the classical corner-vector method for constructing weighted spherical designs, which we call the {\it generalized corner-vector method…
Discriminants of classical quasi-orthogonal polynomials, with combinatorial and number-theoretic applications
Masanori Sawa, Yukihiro Uchida
We derive explicit formulas for the resultants and discriminants of classical quasi-orthogonal polynomials, as a full generalization of the results of Dilcher and Stolarsky (2005)…
Remarks on Hilbert identities, isometric embeddings, and invariant cubature
Hiroshi Nozaki, Masanori Sawa
Victoir (2004) developed a method to construct cubature formulae with various combinatorial objects. Motivated by this, we generalize Victoir's method with one more combinatorial o…
On positive cubature rules on the simplex and isometric embeddings
Masanori Sawa, Yuan Xu
Positive cubature rules of degree 4 and 5 on the -dimensional simplex are constructed and used to construct cubature rules of index 8 or degree 9 on the unit sphere. The latter…
A new approach for the existence problem of minimal cubature formulas based on the Larman-Rogers-Seidel theorem
Masatake Hirao, Hiroshi Nozaki, Masanori Sawa +1
In this paper we consider the existence problem of cubature formulas of degree 4k+1 for spherically symmetric integrals for which the equality holds in the Möller lower bound. We p…
Note on cubature formulae and designs obtained from group orbits
Hiroshi Nozaki, Masanori Sawa
In 1960, Sobolev proved that for a finite reflection group G, a G-invariant cubature formula is of degree t if and only if it is exact for all G-invariant polynomials of degree at…
Steiner quadruple systems with point-regular abelian automorphism groups
Akihiro Munemasa, Masanori Sawa
In this paper we present a graph theoretic construction of Steiner quadruple systems (SQS) admitting abelian groups as point-regular automorphism groups. The resulting SQS has an e…