title: Robin's inequality for 11-free integers

authors: Broughan, Kevin A.

abstract: Let σ(n) denote the sum of divisors function, and let ϒ be Euler’s constant. We prove that if there is an n≥5041 for which σ(n)≥eϒn log log n, then n must be divisible by the eleventh power of some prime.

text: Robin's inequality for 11-free integers Let σ(n) denote the sum of divisors function, and let ϒ be Euler’s constant. We prove that if there is an n≥5041 for which σ(n)≥eϒn log log n, then n must be divisible by the eleventh power of some prime.

year: 2015

title: Soil recovery following landsliding at Whatawhata Research Station, Waikato, New Zealand: preliminary results

authors: Noyes, A.M.

subjects: mass movement

abstract: This research investigates soil recovery following landslides at the Whatawhata Research Station 20 km west of Hamilton. Six landslides were studied, ranging in age from pre-1953 to 2014. The landslides were divided into four zones: shear zones (mean of 25% of landslide area), intact accumulation zones (20%), transition zones (40%), and re-deposition zones (15%), along with a control. Soils were well developed in the control and intact accumulation zones and least recovered in the shear and re-deposition zones. Mean A horizon depths ranged from 2 cm in the shear and re-deposition zones to 7 cm in the transition zone, 17 cm in the intact accumulation zone, and 20 cm in the control. Mean soil carbon contents were lower (P<0.05) in the landslide zones (range of 3.2-5.2%) than in the controls (8.2%). Older landslides showed great recovery; however, the differences between zones within the landslides were greater than the differences between landslides.

text: Soil recovery following landsliding at Whatawhata Research Station, Waikato, New Zealand: preliminary results This research investigates soil recovery following landslides at the Whatawhata Research Station 20 km west of Hamilton. Six landslides were studied, ranging in age from pre-1953 to 2014. The landslides were divided into four zones: shear zones (mean of 25% of landslide area), intact accumulation zones (20%), transition zones (40%), and re-deposition zones (15%), along with a control. Soils were well developed in the control and intact accumulation zones and least recovered in the shear and re-deposition zones. Mean A horizon depths ranged from 2 cm in the shear and re-deposition zones to 7 cm in the transition zone, 17 cm in the intact accumulation zone, and 20 cm in the control. Mean soil carbon contents were lower (P<0.05) in the landslide zones (range of 3.2-5.2%) than in the controls (8.2%). Older landslides showed great recovery; however, the differences between zones within the landslides were greater than the differences between landslides.

year: 2016-04-12

title: COP26 local panel: Setting the scene - what's to come!

authors: Morrison, Sandra L.

abstract: Our local experts kick-off the 2 weeks of action with a scene setting discussion on what is to follow at COP26. Hear from Hon. Nanaia Mahuta, Minister for Foreign Affairs, former CHEC President Professor Ian Douglas and others ahead of COP26

text: COP26 local panel: Setting the scene - what's to come! Our local experts kick-off the 2 weeks of action with a scene setting discussion on what is to follow at COP26. Hear from Hon. Nanaia Mahuta, Minister for Foreign Affairs, former CHEC President Professor Ian Douglas and others ahead of COP26

year: 2021-11