Zobrazeno 1 - 10
of 993
pro vyhledávání: '"P. Tomos"'
Autor:
Parry, Tomos
Nguyen has shown that on averaging over $a=1,...,q$ the 3-fold divisor function has exponent of distribution 2/3, following \cite {banks}. We follow [2] which leads to stronger bounds.
Comment: To be published in the Ramanujan journal
Comment: To be published in the Ramanujan journal
Externí odkaz:
http://arxiv.org/abs/2409.00428
Autor:
Parry, Tomos
A deep conjecture of Montgomery and Soundararajan on the distribution of prime numbers in short intervals of length $h$ says that the third moment is bounded by $\ll h^{\frac {3}{2}-c}$ for some $c>0$. There is in the literature some conditional evid
Externí odkaz:
http://arxiv.org/abs/2409.00431
Autor:
Parry, Tomos
We use the Petrow-Young [10] subconvexity bound for Dirichlet $L$-functions to show that $d_4(n)$ has exponent of distribution $4/7$ when we allow an average over $a$ mod $q$, thereby giving an equidistribution result for $d_4(n)$ which goes past the
Externí odkaz:
http://arxiv.org/abs/2404.04749
Autor:
Parry, Tomos
We give a relatively simple proof that \[ \int _0^1\left |\sum _{n\leq x}d(n)e(n\alpha )\right |d\alpha \asymp \sqrt x.\]
Externí odkaz:
http://arxiv.org/abs/2404.04747
Autor:
Edwards, Liam T., Bunting, Kaine A., Ramsey, Brad, Gunn, Matthew, Fearn, Tomos, Knight, Thomas, Muro, Gabriel Domingo, Morgan, Huw
A new instrument was designed to take visible-light (VL) polarized brightness ($pB$) observations of the solar corona during the 14 December 2020 total solar eclipse. The instrument, called the Coronal Imaging Polarizer (CIP), consisted of a 16 MP CM
Externí odkaz:
http://arxiv.org/abs/2310.09095
Autor:
Lydia V. Luncz, Nora E. Slania, Katarina Almeida-Warren, Susana Carvalho, Tiago Falótico, Suchinda Malaivijitnond, Adrián Arroyo, Ignacio de la Torre, Tomos Proffitt
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
Abstract The archaeological record offers insights into our evolutionary past by revealing ancient behaviour through stone and fossil remains. Percussive foraging is suggested to be particularly relevant for the emergence of tool-use in our lineage,
Externí odkaz:
https://doaj.org/article/a4b5bc731374424ebd9aa837da408c39
Autor:
Parry, Tomos
Let $d_k(n)$ denote the $k$-fold divisor function. For a wide range of large $q$ the expected bound $$\sum_{n\leq x\atop {n\equiv a(q)}}d_k(n)-\text { main term }\approx \sqrt {x/q}$$ is shown to be true in an average sense -- for all $k$. This gener
Externí odkaz:
http://arxiv.org/abs/2302.11045
We present analysis of observational data from the Swift Burst Analyser for a sample of 15 short gamma-ray bursts with extended emission (SGRBEEs) which have been processed such that error propagation from Swift's count-rate-to-flux conversion factor
Externí odkaz:
http://arxiv.org/abs/2212.04428
Autor:
Hosein Shabaninejad, Ryan PW Kenny, Tomos Robinson, Akvile Stoniute, Hannah O’Keefe, Madeleine Still, Christopher Thornton, Fiona Pearson, Fiona Beyer, Nick Meader
Publikováno v:
Health Technology Assessment, Vol 28, Iss 75 (2024)
Background Neonates with suspected sepsis are commonly treated with gentamicin, an aminoglycoside. These antibiotics are associated with high risk of ototoxicity, including profound bilateral deafness, in people with the m.1555A>G mitochondrial genet
Externí odkaz:
https://doaj.org/article/14fd81bb667f4cd6a5222c0625f85d3f
Autor:
Colette Hawkins, Amy Wheatman, David Black, Alexis Pala, Yu Fu, Tomos Robinson, Jonathan Ling, Sarah Gorman, Sarah Beardon, Hazel Genn, Hannah Hesselgreaves
Publikováno v:
Health and Social Care Delivery Research (2024)
Background Social welfare legal needs (matters of daily life, such as finances, housing and employment with legal rights, entitlements or protections) are prevalent towards end of life, creating significant difficulties for both patients and carers.
Externí odkaz:
https://doaj.org/article/a36f56be57404cb8ac0efd72c36a5010