Results 11 to 20 of about 60 (49)
Open Mathematics, 2018 The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shen Shimeng
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INVERSIVE CONGRUENTIAL GENERATOR WITH A VARIABLE SHIFT OF PSEUDORANDOM POINTS OVER THE COMPLEX PLANE
, 2015 Consider the generator of pseudorandom points on unit square produced by the inversive congruential recursion over the ring of Gaussian integers. Study the exponential sums on sequences of these points.
T. T. Vinh
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Генератор ПСЧ на норменой группе
, 2020 Let be a prime number, ∈ N, (︁ − )︁ = −1, > 2, and let denotes the set of of residue classes modulo over the ring of Gaussian integers in imaginary quadratic field Q( √ −) with norms which are congruented with 1 modulo .
Варбанець, Сергій Павлович +4 more
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On the hybrid power mean of two kind different trigonometric sums
Open Mathematics, 2019 The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
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On the Golomb’s conjecture and Lehmer’s numbers
Open Mathematics, 2017 Let p be an odd prime. For each integer a with 1 ≤ a ≤ p − 1, it is clear that there exists one and only one ā with 1 ≤ ā ≤ p − 1 such that a · ā ≡ 1 mod p. Let N(p) denote the set of all primitive roots a mod p with 1 ≤ a ≤ p − 1 in which a and ā are of
Tingting Wang, Xiaonan Wang
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Distribution of powers modulo p and security of RSA
Journal of Mathematical CryptologyLet p be a prime and a be any fixed positive integer such that gcd(a, φ(p)) = 1. For 0 < x
Meng Xianmeng, Dang Yongjie
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Carmichael numbers composed of Piatetski-Shapiro primes in Beatty sequences
Open MathematicsThe Piatetski-Shapiro sequences are sequences of the form (⌊nc⌋)n=1∞{\left(\lfloor {n}^{c}\rfloor )}_{n=1}^{\infty } and the Beatty sequence is the sequence of integers (⌊αn+β⌋)n=1∞{(\lfloor \alpha n+\beta \rfloor )}_{n=1}^{\infty }.
Qi Jinyun, Guo Victor Zhenyu
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On certain arithmetic functions involving the greatest common divisor
Open Mathematics, 2012 Krätzel Ekkehard +2 more
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Nonlinear exponential twists of the Liouville function
Open Mathematics, 2011 Sun Qingfeng
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Double character sums over elliptic curves and finite fields
, 2006 W. Banks +3 more
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