Results 31 to 40 of about 75,035 (162)
Functions Definable by Arithmetic Circuits [PDF]
, 2009 An arithmetic circuit is a labelled, directed, acyclic graph specifying a cascade of arithmetic and logical operations to be performed on sets of non-negative integers. In this paper, we consider the definability of functions from tuples of sets of non-negative integers to sets of non-negative integers by means of arithmetic circuits.
Ian Pratt-Hartmann, Ivo Düntsch
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A generalization of arithmetic derivative to p-adic fields and number fields [PDF]
Notes on Number Theory and Discrete MathematicsThe arithmetic derivative is a function from the natural numbers to itself that sends all prime numbers to 1 and satisfies the Leibniz rule. The arithmetic partial derivative with respect to a prime p is the p-th component of the arithmetic derivative ...
Brad Emmons, Xiao Xiao
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Coefficients of symmetric power L-functions on integers under digital constraints [PDF]
Notes on Number Theory and Discrete MathematicsLet λₛᵧₘʳ_f(n) be the n-th coefficient in the Dirichlet series representing the symmetric power L-function attached to a primitive form f of weight k and level N.
Khadija Mbarki
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A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]
Mathematica BohemicaA specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
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Physical Review Research, 2023 Many computational problems can be formulated in terms of high-dimensional functions. Simple representations of such functions and resulting computations with them typically suffer from the “curse of dimensionality,” an exponential cost dependence on ...
Ruojing Peng +2 more
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Frontal Midline Theta Oscillations during Mental Arithmetic: Effects of Stress
Frontiers in Behavioral Neuroscience, 2015 Complex cognitive tasks such as mental arithmetic heavily rely on intact, well-coordinated prefrontal cortex (PFC) function. Converging evidence suggests that frontal midline theta (FMT) oscillations play an important role during the execution of such ...
Matti eGärtner +5 more
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Arithmetic properties of Ramanujan's general partition function for modulo 11
Kuwait Journal of Science, 2020 In the present work, for the general partition function $p_k(n)$, we establish five new infinite families of congruences. Our emphasis throughout this paper is to exhibit the use of $q$-identities to generate congruences for the general partition ...
Srivatsa Kumar Belakavadi Radhakrishna +2 more
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Frontiers in Human Neuroscience, 2014 The current study investigated the influence of cardiorespiratory fitness on arithmetic cognition in forty 9-10 year old children. Measures included a standardized mathematics achievement test to assess conceptual and computational knowledge, self ...
Robert D Moore +4 more
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Frontiers in EducationAs a foundational element of early childhood education, preschoolers’ arithmetic ability eases the later arithmetic learning in grades. However, the mechanisms underlying young children’s arithmetic ability remain unclear.
Xiujuan Yao, Han Yuan, Qi Yang
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A note on newly introduced arithmetic functions φ+ and σ+ [PDF]
Notes on Number Theory and Discrete MathematicsIn a recent paper [7], the authors introduced new arithmetic functions φ⁺, σ⁺ related to the classical functions φ, and σ, respectively. In this note, we study the behavior of Σ_{n≤x, ω(n)=2}(φ⁺-φ)(n), and Σ_{n≤x, ω(n)=2}(σ⁺-σ)(n), for any real number x ...
Sagar Mandal
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