Faster Lead-Acid Battery Simulations from Porous-Electrode Theory: I. Physical Model
Sulzer, V Chapman, S Please, C Howey, D Monroe, C (05 Feb 2019)
Faster Lead-Acid Battery Simulations from Porous-Electrode Theory: II. Asymptotic Analysis
Sulzer, V Chapman, S Please, C Howey, D Monroe, C (05 Feb 2019)
Geometric martingale Benamou–Brenier transport and geometric Bass martingales
Backhoff, J Loeper, G Obloj, J Proceedings of the American Mathematical Society
Bounds on Heavy Axions with an X-Ray Free Electron Laser
Halliday, J Marocco, G Beyer, K Heaton, C Nakatsutsumi, M Preston, T Arrowsmith, C Baehtz, C Goede, S Humphries, O Garcia, A Plackett, R Svensson, P Vacalis, G Wark, J Wood, D Zastrau, U Bingham, R Shipsey, I Sarkar, S Gregori, G Physical Review Letters volume 134 issue 5 055001 (06 Feb 2025)
Mon, 17 Feb 2025
16:00
C6

Hoheisel's theorem on primes in short intervals via combinatorics

Jori Merikoski
(Oxford)
Abstract

Hoheisel's theorem states that there is some $\delta> 0$ and some $x_0>0$ such that for all $x > x_0$ the interval $[x,x+x^{1-\delta}]$ contains prime numbers. Classically this is proved using the Riemann zeta function and results about its zeros such as the zero-free region and zero density estimates. In this talk I will describe a new elementary proof of Hoheisel's theorem. This is joint work with Kaisa Matomäki (Turku) and Joni Teräväinen (Cambridge). Instead of the zeta function, our approach is based on sieve methods and ideas coming from additive combinatorics, in particular, the transference principle. The method also gives an L-function free proof of Linnik's theorem on the least prime in arithmetic progressions.

Reply: Yes, the human brain has around 86 billion neurons.
Goriely, A Brain : a journal of neurology awaf049 (06 Feb 2025)

British Society for the History of Mathematics: 'Research in Progress'

Shulman Auditorium, The Queen's College, Saturday 22nd February 2025

This is the BSHM's annual day of talks by research students in the history of mathematics, rounded off this year by an invited lecture by Norbert Schappacher (Strasbourg).  

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