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Correlation properties of interleaved Legendre sequences and Ding-Helleseth-Lam sequences
Electronic Research Archive, 2023 Sequences with optimal autocorrelation properties play an important role in wireless communication, radar and cryptography. Interleaving is a very important method in constructing the optimal autocorrelation sequence.
Yixin Ren , Chenyu Hou, Huaning Liu
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The first ascent of size $d$ or more in compositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 A composition of a positive integer $n$ is a finite sequence of positive integers $a_1, a_2, \ldots, a_k$ such that $a_1+a_2+ \cdots +a_k=n$. Let $d$ be a fixed nonnegative integer.
Charlotte Brennan, Arnold Knopfmacher
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Almost primes in generalized Piatetski-Shapiro sequences
AIMS Mathematics, 2022 We consider a generalization of Piatetski-Shapiro sequences in the sense of Beatty sequences, which is of the form $\left( \left\lfloor{\alpha n^c + \beta}\right\rfloor \right)_{n = 1}^{\infty} $ with real numbers $ \alpha {\geqslant} 1, c > 1 $ and $
Jinyun Qi , Zhefeng Xu
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On the high-th mean of one special character sums modulo a prime
AIMS Mathematics, 2023 Using the elementary method of the classical Gauss sums and the properties of character sums, we study a linear recurrence formula about the form $ G\left(n\right) = 1+\sum_{a = 1}^{p-1}\left(\frac{a^2+n\bar{a}^2}{p}\right) $ and about the mean value of $
Yan Ma, Di Han
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On the fourth power mean of one special two-term exponential sums
AIMS Mathematics, 2023 The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating ...
Wenpeng Zhang, Yuanyuan Meng
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On the K-th power mean of one kind generalized cubic Gauss sums
AIMS Mathematics, 2023 The main purpose of this paper is using the elementary methods and properties of the recurrence sequence to study the calculating problem of the $ k $-th power mean of one kind generalized cubic Gauss sums, and give an exact calculating formula for it.
Xiaoge Liu, Yuanyuan Meng
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Apollonian circle packings: Dynamics and Number theory [PDF]
, 2014 We give an overview of various counting problems for Apollonian circle packings, which turn out to be related to problems in dynamics and number theory for thin groups.
Oh, Hee
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Binary sequences and lattices constructed by discrete logarithms
AIMS Mathematics, 2022 In 1997, Mauduit and Sárközy first introduced the measures of pseudorandomness for binary sequences. Since then, many pseudorandom binary sequences have been constructed and studied. In particular, Gyarmati presented a large family of pseudorandom binary
Yuchan Qi, Huaning Liu
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Theory of Analogous Force on Number Sets [PDF]
, 2003 A general statistical thermodynamic theory that considers given sequences of x-integers to play the role of particles of known type in an isolated elastic system is proposed.
Adhikari +17 more
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Heat kernel and number theory on NC-torus [PDF]
, 2006 The heat trace asymptotics on the noncommutative torus, where generalized Laplacians are made out of left and right regular representations, is fully determined.
A. Chamseddine +41 more
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