Corrigenda and addenda to “Fundamentality of a cubic unit $u$ for $\mathbb{Z}[u]$”

Fundamentality of a cubic unit u for ℤ[u]

Consider a cubic unit u of positive discriminant. We present a computational proof of the fact that u is a fundamental unit of the order Z[u] in most cases and determine the exceptions. This extends a similar (but restrictive) result due to E. Thomas. Introduction Let f(X) := X + aX + bX ± 1 ∈ Z[X] be irreducible in Z[X] and with three (distinct) real roots. We think of the order R := Z[u], obt...

Diverse corrigenda and addenda to the pre-prints

Maritime Provinces Staphylinidae (Coleoptera): Addenda and Corrigenda

Majka and Klimaszewski (2010) surveyed the Aleocharinae fauna of the Maritime Provinces of Canada, reporting that 203 species were known in the region. They also added 16 new provincial records from the region. Inadvertently, they neglected to provide new provincial records of three species that were indicated as occurring in Nova Scotia in Table 1 (pp. 23-33) of their results. This omission is...

the innovation of a statistical model to estimate dependable rainfall (dr) and develop it for determination and classification of drought and wet years of iran

آب حاصل از بارش منبع تأمین نیازهای بی شمار جانداران به ویژه انسان است و هرگونه کاهش در کم و کیف آن مستقیماً حیات موجودات زنده را تحت تأثیر منفی قرار می دهد. نوسان سال به سال بارش از ویژگی های اساسی و بسیار مهم بارش های سالانه ایران محسوب می شود که آثار زیان بار آن در تمام عرصه های اقتصادی، اجتماعی و حتی سیاسی- امنیتی به نحوی منعکس می شود. چون میزان آب ناشی از بارش یکی از مولفه های اصلی برنامه ...

Corrigenda and Addenda To: “étale Cohomology, Lefschetz Theorems and Number of Points of Singular Varieties Over

In the aforementioned article [S1], Brian Conrad kindly pointed out to us that the proof of Proposition 9.8 is incomplete. We provide here the missing arguments together with a few other corrections and use the opportunity to indicate some new consequences of our results, and also mention some applications of the results in [S1]. In what follows, the supplementary references, including the orig...