専修大学学術機関リポジトリ：SI-Box

Platonov conjectured, conversely, that finitely generated linear groups which are super- rigid must be of “arithmetic type.” We construct counterexamples to Platonov’s

p≤x a 2 p log p/p k−1 which is proved in Section 4 using Shimura’s split of the Rankin–Selberg L -function into the ordinary Riemann zeta-function and the sym- metric square

On the other hand, one may still have a hope to choose some particular basis, either by a use of semi-algebraic geometry of the discriminant of the family X → S (see Footnote 14

I am indebted to the following libraries and institutes for having given me permis- sion to consult their manuscripts: The Bharat Kala Bhavan Library of Banaras Hindu

With regard to an omniscient being, because he (or his omniscience) is absolutely imperceptible, though one does not perceive him, one cannot conclude his non-existence and

Amount of Remuneration, etc. The Company does not pay to Directors who concurrently serve as Executive Officer the remuneration paid to Directors. Therefore, “Number of Persons”

What is ascertained (ni´sc¯ıyate) is the object of conceptual cognitions ( vikalpavis.aya ). But an internal image is not ascertained. Therefore, it cannot be the object of a

しかし , 特性関数 を使った証明には複素解析や Fourier 解析の知識が多少必要となってくるため , ここではより初等的な道 具のみで証明を実行できる Stein の方法