A Negative Answer to the Prime Sequence Question

A Negative Answer to a Question by Rieffel

In this article, we address one of the questions raised by Marc Rieffel in his collection of questions on deformation quantization. The question is whether the K-groups remain the same under flabby strict deformation quantizations. By “deforming” the question slightly, we produce a negative answer to the question. In his collection of questions on deformation quantization [8], Marc Rieffel aske...

A Negative Answer to a Question of Bass

We address Bass’ question, on whether Kn(R) = Kn(R[t]) implies Kn(R) = Kn(R[t1, t2]). In a companion paper, we establish a positive answer to this question when R is of finite type over a field of infinite transcendence degree over the rationals. Here we provide an example of an isolated surface singularity over a number field for which the answer the Bass’ question is “no” when n = 0.

A Simple Answer to Gelfand's Question

Using elementary techniques, a question named after the famous Russian mathematician I. M. Gelfand is answered. This concerns the leading (i.e., most significant) digit in the decimal expansion of integers 2n, 3n, . . . , 9n . The history of this question, some of which is very recent, is reviewed.

Answer to the question page 508

Answer to the question from page 105

The element of the urinary tract that remains to be examined is the urethra. At fi rst, it was assessed with the use of a convex transducer via the transperineal access (fi g. 1). The registered image indicates a pathology in the region of the urethra, but it is insuffi cient to establish a defi nite diagnosis. Therefore, a linear high-frequency probe was placed at the same site (fi g. 2) which...