Journal of Number TheoryB. Bolloba´s and I. Leader, The number of k-sums modulo k, J. Number Theory 78 (1999), 27-35.B. Bolloba´s and I. Leader, The number of k-sums modulo k, J. Number Theory 78 (1999) 27-35.
Let a1, …, ar be a sequence of elements of Zk, the integers modulo k. Calling the sum of k terms of the sequence a k-sum, how small can the set of k-sums be? Our aim in this paper is to show that if 0 is not a k-sum then there are at least rk+1 k-sums. This resul...
43 Adversarial training through the lens of optimal transport 1:16:40 Central Limit Theorems in Analytic Number Theory 48:39 Kantorovich operators and their ergodic properties 1:02:06 L-Functions of Elliptic Curves Modulo Integers 49:33 The Bootstrap Learning Algorithm 20:49 A logarithmic ...
43 Adversarial training through the lens of optimal transport 1:16:40 Central Limit Theorems in Analytic Number Theory 48:39 Kantorovich operators and their ergodic properties 1:02:06 L-Functions of Elliptic Curves Modulo Integers 49:33 The Bootstrap Learning Algorithm 20:49 A logarithmic ...
Note on sum of the kth powers of the first n natural numbers 来自 ResearchGate 喜欢 0 阅读量: 10 作者: MA Gopalan 摘要: The students usually find the sums of the first, second and third powers of the first n natural numbers. A formula for finding the sums of higher powers of ...
Monadic $$ktimes j$$ k × j -rough Heyting algebras Archive for Mathematical Logic13 November 2021 The covering number of the strong measure zero ideal can be above almost everything else Archive for Mathematical Logic10 November 2021 Reflection and not SCH with overlapping extenders Archive for...
SUMS OF THE FORM 1/x k 1 + ··· + 1/x k n MODULO A PRIME E Croot 被引量: 1发表: 2004年 Painlevé's problem and the semiadditivity of analytic capacity Xavier,Tolsa - 《Acta Mathematica》 被引量: 450发表: 2003年 Lectures on Arakelov Geometry: Foreword Let X be an arithmetic...
The particle with the greatest weight has a larger impact on the state estimate and the higher the number of particles, the better the convergence, provided that we have a high computation power. 4.2. The Particle Filter Modus Operandi In the actual implementation of the particle filter it is...
For k≥1, we denote by kA its k-fold sumset. From Kneser's Theorem [9], we know that for any subset A⊂N, the inequality d_(2A)<2d_(A) may only hold when d_(2A) is a rational number. Similarly, for any subset A of the circle T equipped with its Haar probability measure...
Solving systems of polynomial congruences modulo a large prime -rational solutions our algorithm finds one of them as well as an approximation of the total number of such solutions. For a fixed number of variables, the... MD Huang,YC Wong - Symposium on Foundations of Computer Science 被引量...