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pro vyhledávání: '"Blackman, John"'
In this paper, we investigate the base-$p$ expansions of putative counterexamples to the $p$-adic Littlewood conjecture of de Mathan and Teuli\'e. We show that if a counterexample exists, then so does a counterexample whose base-$p$ expansion is unif
Externí odkaz:
http://arxiv.org/abs/2306.09853
Publikováno v:
Communications in Mathematics, Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications) (April 14, 2023) cm:10919
This paper is dedicated to providing an introduction into multidimensional integer trigonometry. We start with an exposition of integer trigonometry in two dimensions, which was introduced in 2008, and use this to generalise these integer trigonometr
Externí odkaz:
http://arxiv.org/abs/2302.02720
Autor:
Vongluanngam, Isara, Zhang, Xinyi, Blackman, John W., Schmidtke, Leigh M., Wilkinson, Kerry L., Clark, Andrew C.
Publikováno v:
In Food Chemistry 15 September 2024 452
Autor:
Blackman, John
In this paper we introduce the concept of an infinite loop mod $n$ and discuss the properties that these objects have. In particular, we show that a real number $\alpha$ is a counterexample to the $p$-adic Littlewood Conjecture if and only if there e
Externí odkaz:
http://arxiv.org/abs/2101.05112
Publikováno v:
In Food Chemistry 30 October 2023 424
Autor:
Blackman, John
Publikováno v:
In Journal of Number Theory August 2023 249:209-236
Publikováno v:
In Food Chemistry 1 November 2022 393
Unravelling wine volatile evolution during Shiraz grape ripening by untargeted HS-SPME-GC × GC-TOFMS
Autor:
Šuklje, Katja, Carlin, Silvia, Stanstrup, Jan, Antalick, Guillaume, Blackman, John W., Meeks, Campbell, Deloire, Alain, Schmidtke, Leigh M., Vrhovsek, Urska
Publikováno v:
In Food Chemistry 30 March 2019 277:753-765
Autor:
Schueuermann, Claudia, Steel, Christopher C., Blackman, John W., Clark, Andrew C., Schwarz, Lachlan J., Moraga, Javier, Collado, Isidro G., Schmidtke, Leigh M.
Publikováno v:
In Food Chemistry 1 January 2019 270:375-384
Autor:
Longo, Rocco, Blackman, John W., Antalick, Guillaume, Torley, Peter J., Rogiers, Suzy Y., Schmidtke, Leigh M.
Publikováno v:
In Food Chemistry 30 September 2018 261:21-29