Wenpeng Zhang

ORCID: 0000-0002-2560-3559
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Research Areas
  • Analytic Number Theory Research
  • Advanced Mathematical Identities
  • Advanced Mathematical Theories
  • Advanced Algebra and Geometry
  • Mathematics and Applications
  • Advanced Mathematical Theories and Applications
  • Coding theory and cryptography
  • Algebraic Geometry and Number Theory
  • Mathematical functions and polynomials
  • Advanced Combinatorial Mathematics
  • Mathematical Inequalities and Applications
  • advanced mathematical theories
  • Finite Group Theory Research
  • Limits and Structures in Graph Theory
  • Mathematical Approximation and Integration
  • Meromorphic and Entire Functions
  • History and Theory of Mathematics
  • Differential Equations and Boundary Problems
  • Numerical methods in inverse problems
  • Advanced Harmonic Analysis Research
  • graph theory and CDMA systems
  • Translation Studies and Practices
  • Polynomial and algebraic computation
  • Cryptography and Residue Arithmetic
  • semigroups and automata theory

Northwest University
2015-2024

Xi'an Technological University
2018-2024

Hainan Normal University
2024

Sichuan Normal University
2023

Xi'an Aeronautical University
2022

Zhejiang Sci-Tech University
2020

Xi’an University
2020

Kashi University
2019

Northwest University
1991-2014

Xi'an Jiaotong University
1996-2014

On étudie dans ce papier le comportement asymptotique de valeurs moyennes sommes Dedekind. donne en particulier une formule améliorant un résultat antérieur.

10.5802/jtnb.179 article FR Journal de Théorie des Nombres de Bordeaux 1996-01-01

Abstract Let p be an odd prime with ≡ 1 mod 4, k any positive integer, ψ fourth-order character . In this paper, we use the analytic method and properties of sums to study computational problem G ( , ) = τ )+ ), give interesting linear recurrence formula for it, where denotes classical Gauss sums.

10.1515/math-2017-0104 article EN cc-by Open Mathematics 2017-10-05

The main purpose of this paper is using a new analytic method and the properties Gauss sums to study computational problem one kind sixth power mean two-term exponential sums, give an interesting identity for it.

10.1016/j.jnt.2013.10.022 article EN publisher-specific-oa Journal of Number Theory 2013-12-13

10.1023/a:1006724724840 article EN Acta Mathematica Academiae Scientiarum Hungaricae 2000-01-01

for » = (>, 1,2,.... If x 1, then the sequence F(l) is called Fibonacci sequence, and we shall denote it by F {F„). The various properties of {Fn) were investigated many authors. For example, Duncan [1] Kuipers [3] proved that QogFJ uniformly distributed mod 1. Robbins [4] studied numbers forms px ±1 ± where p a prime. second author [5] obtained some identities involving numbers. main purpose this paper to study how calculate summation polynomials:

10.1080/00150517.2002.12428631 article EN ˜The œFibonacci quarterly 2002-08-01

In this paper, the authors consider infinite sums derived from reciprocals of Fibonacci polynomials and Lucas polynomials. Then applying floor function to these sums, obtain several new identities involving MSC:11B39.

10.1186/1029-242x-2013-205 article EN cc-by Journal of Inequalities and Applications 2013-04-25

The main purpose of this paper is by using the definitions and properties Chebyshev polynomials to study power sum problems involving Fibonacci Lucas obtain some interesting divisible properties.

10.1186/s13662-017-1365-1 article EN cc-by Advances in Difference Equations 2017-09-29

10.1016/j.jnt.2016.05.018 article EN publisher-specific-oa Journal of Number Theory 2016-07-15

The main purpose of this paper is, using the method trigonometric sums and properties Gauss sums, to study computational problem one kind congruence equation modulo an odd prime give some interesting fourth-order linear recurrence formulas.

10.1186/s13662-017-1097-2 article EN cc-by Advances in Difference Equations 2017-02-07

10.1016/s0022-247x(02)00501-2 article EN Journal of Mathematical Analysis and Applications 2002-12-01

10.1016/j.amc.2011.11.090 article EN Applied Mathematics and Computation 2011-12-09

10.1006/jnth.2001.2715 article EN publisher-specific-oa Journal of Number Theory 2002-02-01

10.1006/jmaa.2001.7752 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2002-03-01

The main purpose of this paper is using the analytic methods and properties character sums to study computational problem several kind polynomials mod q, an odd square-full number, give two interesting identities for them.

10.4064/aa115-3-3 article EN Acta Arithmetica 2004-01-01

The main purpose of this paper is to study the fourth power mean general Gauss sums, and give two exact calculating formulae.

10.18910/12092 article EN Osaka Journal of Mathematics 2005-03-01

Abstract In this article, we consider infinite sums derived from the reciprocals of Fibonacci polynomials and Lucas polynomials, square polynomials. Then applying floor function to these sums, obtain several new equalities involving Mathematics Subject Classification (2010): Primary, 11B39.

10.1186/1029-242x-2012-134 article EN cc-by Journal of Inequalities and Applications 2012-06-11

The aim of this paper is to research the structural properties Fibonacci polynomials and numbers obtain some identities. To achieve purpose, we first introduce a new second-order nonlinear recursive sequence. Then, our main results by using sequence, power series, combinatorial methods.

10.3390/math6120334 article EN cc-by Mathematics 2018-12-18
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