A Problem concerning kyoso in Nichiren Buddhism

The Development of Kaji Kito in Nichiren Shu Buddhism

A Reflexivity Problem concerning The

Let X be a compact Hausdorff space and let H be a separable Hilbert space. We prove that the group of all order automorphisms of the C∗-algebra C(X)⊗ B(H) is algebraically reflexive.

A Problem Concerning a Character Sum

Williams' research was supported by NSERC of Canada grant A7649. 1991 Mathematics Subject Classi cation: 11Y40, 11Y99 Let p be a prime congruent to 1 modulo 4, n p the Legendre symbol and S(k) = Pp 1 n=1 n k n p . The problem of finding a prime p such that S(3) > 0 was one of the motivating forces behind the development of several of Shanks’ ideas for computing in algebraic number fields, altho...

On a Problem concerning Permutation Polynomials

Let S(f) denote the set of integral ideals / such that / is a permutation polynomial modulo i", where / is a polynomial over the ring of integers of an algebraic number field. We obtain a classification for the sets S which may be written in the form S(f). Introduction. A polynomial f(x) with coefficients in a commutative ring R is said to be a permutation polynomial modulo an ideal I oi R (abb...

On A Problem Concerning Parameter Free Induction

8 0. Preliminaries In this note we comment on the relationships among local versions of the parameter free induction, collection and pigeonhole schemas. We start by defining the versions that will interest us. We work in the usual language of arithmetic to which a new constant symbol a has been added. P-denotes a finite set of axioms such that if M C P-, then M is the nonnegative part of a comm...