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Theory of Probability and Theory of NumbersSome of the next articles are maybe not open access.
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Additive Number Theory via Automata Theory
Theory of Computing Systems, 2019In the paper under review, the authors study several problems in additive number theory by using automata theory. In particular they use a result due to \textit{V. Bruyère} et al. [Bull. Belg. Math. Soc. - Simon Stevin 1, No. 2, 191--238 (1994; Zbl 0804.11024)] and its implementation in Mousavi's software ``Walnut''.
Aayush Rajasekaran +2 more
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Theoretical and Natural Science, 2023
The theory of groups exists in many fields of mathematics and has made a great impact on many fields of mathematics. In this article, this paper first introduces the history of group theory and elementary number theory, and then lists the definitions of group, ring, field and the most basic prime and integer and divisor in number theory that need to be
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The theory of groups exists in many fields of mathematics and has made a great impact on many fields of mathematics. In this article, this paper first introduces the history of group theory and elementary number theory, and then lists the definitions of group, ring, field and the most basic prime and integer and divisor in number theory that need to be
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International Journal of Theoretical Physics, 2004
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Mathematical Gazette, 1996
For this ‘centenary issue’, the editor has invited me to write a survey on progress in number theory over the last 100 years. He did not, of course, ask for a proper technical report, but just a short article suitable for Gazette readers.
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For this ‘centenary issue’, the editor has invited me to write a survey on progress in number theory over the last 100 years. He did not, of course, ask for a proper technical report, but just a short article suitable for Gazette readers.
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Theory of probability and theory of numbers
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1992A new theory of probability is proposed where the probability of an event can belong to the field of \(p\)-adic numbers \(Q_ p\) and to general topological completions of the field of rational numbers. There is a fruitful theory of integration of non-Archimedean valued functions. Thus the dispersion can be negative and even imaginary.
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Nuclear effective field theory: Status and perspectives
Reviews of Modern Physics, 2020Ubirajara Van Kolck +2 more
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