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On the simultaneous distribution of powers of prime numbers modulo one
Acta Mathematica Hungarica, 2017Let \(k\geq 2\) be a fixed integer, \(\alpha_1, \dots, \alpha_k\) be real numbers and denote \(p\) a prime number. Let \(\{p^{\alpha_i}\}\) denote the fractional part of \(p^{\alpha_i}\). Define \(\Gamma = \Gamma (\xi_1,\eta_1, \dots, \xi_k, \eta_k)\subset \mathbb{R}^k\) by \(\Gamma := \{(x_1, \dots, x_k)\in \mathbb{R}^k \; | \; \xi_i < x_i < \eta_i, \;
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On the modulo 2 +1 addition and subtraction for weighted operands
Microprocessors and Microsystems, 2023Constantinos Efstathiou +2 more
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Modulo Periodic Poisson Stable Solutions of Quasilinear Differential Equations
Entropy, 2021Marat Akhmet +2 more
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Quantum verifiable protocol for secure modulo zero-sum randomness
Quantum Information Processing, 2022Masahito Hayashi +2 more
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Almost modular functions and the distribution of \(n^2x\) modulo one
2003As is well known from pioneering work of H. Weyl, the sequence \((n^2x)_{n\geq 1}\) is equidistributed \(\text{mod\,}1\) if \(x\) is irrational. This means that for every piecewise smooth function \(\psi: \mathbb{R}/\mathbb{Z}\to \mathbb{C}\) we have \[ {1\over N} \sum^N_{n=1} \psi(n^2 x)- \int^1_0\psi(t)\,dt\to 0\tag{1} \] as \(N\to\infty\).
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Equidistribution of numerical semigroup gaps modulo m
Discrete Mathematics, 2022Caleb Mckinley Shor
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ASYMPTOTIC DISTRIBUTION MODULO ONE
Journal of the London Mathematical Society, 1967openaire +1 more source
Connectedness Modulo Realcompactness
Bulletin of the Iranian Mathematical Society, 2023Abdolaziz Hesari
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On the distributation of pα modulo one.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1985openaire +1 more source
Asymptotic Distribution of Real Numbers Modulo One
The American Mathematical Monthly, 1971J. L. Brown, R. L. Duncan
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