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## Yuan, Pingzhi

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 Author ID: yuan.pingzhi Published as: Yuan, Pingzhi; Yuan, P.; Yuan, Ping-Zhi External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 161 Publications since 1988
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#### Co-Authors

 36 single-authored 13 Zeng, Xiangneng 12 Luo, Jiagui 11 Zhang, Zhongfeng 8 Sun, Qi 8 You, Lihua 7 Ding, Cunsheng 7 Hu, Yongzhong 7 Li, Yuanlin 5 Deng, Guixin 5 Wu, Danyao 4 Guan, Huanhuan 4 Han, Qing 4 He, Zilong 4 Togbé, Alain 3 Deng, Naijuan 3 Geroldinger, Alfred 3 Li, Zhigang 3 Zheng, Yanbin 2 Bai, Hairong 2 Chen, Xuesheng 2 Chen, Yafei 2 Hu, Yahui 2 Li, Juan 2 Li, Yuan 2 Luo, Wenyu 2 Miyazaki, Takafumi 2 Pei, Dingyi 2 Ren, Debin 2 Xia, Jianye 2 Yuan, Jin 2 Zhuang, Jujuan 1 Chen, Haibo 1 Chen, Yonggao 1 Fang, Jinhui 1 Feng, Li 1 Gao, Weidong 1 Grynkiewicz, David J. 1 He, Bo 1 Hong, Shaofang 1 Huang, Hongdi 1 Kizildere, Elif 1 Komatsu, Takao 1 Li, Hongjian 1 Liang, Xinran 1 Lin, Jun 1 Liu, Weijun 1 Liu, Yang 1 Lu, Ziqun 1 Ma, Yuzhen 1 Parmenter, Michael M. 1 Plyley, Chris 1 Qu, Longjiang 1 Saltzman, Peter W. 1 Shen, Jieqin 1 Shen, Xuesheng 1 Shu, Yujie 1 Soydan, Gokhan 1 Stoll, Michael 1 Tijdeman, Robert 1 Walsh, Peter Gareth 1 Wang, Jiabao 1 Wang, Qiang (Steven) 1 Xia, Xingwu 1 Xiang, Qing 1 Xiong, Maosheng 1 Yahui, Hu 1 Yan, Haode 1 Yin, Qianqian 1 Zhang, Zhilin 1 Zhao, Kevin 1 Zheng, Yueping 1 Zhou, Fangmin 1 Zhou, Junyi 1 Zhou, Shenglin
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#### Serials

 13 Acta Arithmetica 12 Finite Fields and their Applications 8 Journal of Number Theory 8 Journal of Sichuan University. Natural Science Edition 8 Acta Mathematica Sinica. Chinese Series 7 Acta Mathematica Sinica 5 Chinese Annals of Mathematics. Series A 5 Linear Algebra and its Applications 5 Integers 4 Acta Mathematica Hungarica 4 The Electronic Journal of Combinatorics 3 Discrete Mathematics 3 Ars Combinatoria 3 European Journal of Combinatorics 3 Journal of Mathematical Research & Exposition 3 Journal of Natural Science of Heilongjiang University 3 Acta Mathematica Sinica. English Series 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Colloquium Mathematicum 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Combinatorial Theory. Series A 2 Publicationes Mathematicae 2 Acta Scientiarum Naturalium Universitatis Sunyatseni 2 Science in China. Series A 2 Designs, Codes and Cryptography 2 Indagationes Mathematicae. New Series 2 Algebra Colloquium 2 JP Journal of Algebra, Number Theory and Applications 2 International Journal of Number Theory 2 Science China. Mathematics 1 Computers & Mathematics with Applications 1 Linear and Multilinear Algebra 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 The Fibonacci Quarterly 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Japanese Journal of Mathematics. New Series 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Southeast Asian Bulletin of Mathematics 1 Mathematics in Practice and Theory 1 Advances in Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 SIAM Journal on Discrete Mathematics 1 Glasnik Matematički. Serija III 1 Chinese Science Bulletin 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Applied Mathematics. Series A (Chinese Edition) 1 Turkish Journal of Mathematics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Scientiae Mathematicae 1 Journal of Integer Sequences 1 Journal of South China Normal University. Natural Science Edition 1 Journal of Applied Mathematics 1 Journal of Algebra and its Applications 1 Chinese Journal of Engineering Mathematics 1 Open Journal of Discrete Mathematics 1 Moscow Journal of Combinatorics and Number Theory
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#### Fields

 144 Number theory (11-XX) 19 Combinatorics (05-XX) 18 Group theory and generalizations (20-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Information and communication theory, circuits (94-XX) 2 Associative rings and algebras (16-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Special functions (33-XX)

#### Citations contained in zbMATH Open

94 Publications have been cited 548 times in 360 Documents Cited by Year
Permutation trinomials over finite fields with even characteristic. Zbl 1352.11102
Ding, Cunsheng; Qu, Longjiang; Wang, Qiang; Yuan, Jin; Yuan, Pingzhi
2015
Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100
Yuan, Pingzhi; Ding, Cunsheng
2011
Further results on permutation polynomials over finite fields. Zbl 1297.11148
Yuan, Pingzhi; Ding, Cunsheng
2014
On the index of minimal zero-sum sequences over finite cyclic groups. Zbl 1128.11011
Yuan, Pingzhi
2007
Some remarks on $$P$$, $$P_0$$, $$B$$ and $$B_0$$ tensors. Zbl 1307.15033
Yuan, Pingzhi; You, Lihua
2014
The set of distances in Krull monoids. Zbl 1255.13002
Geroldinger, Alfred; Yuan, Pingzhi
2012
Explicit classes of permutation polynomials of $$\mathbb F_{3^{3m}}$$. Zbl 1215.11113
Ding, Cunsheng; Xiang, Qing; Yuan, Jin; Yuan, Pingzhi
2009
Minimal zero sum sequences of length four over finite cyclic groups. Zbl 1204.11021
Li, Yuanlin; Plyley, Chris; Yuan, Pingzhi; Zeng, Xiangneng
2010
Permutation trinomials over $$\mathbb{F}_{2^m}$$. Zbl 1431.11131
Wu, Danyao; Yuan, Pingzhi; Ding, Cunsheng; Ma, Yuzhen
2017
Permutation polynomials from piecewise functions. Zbl 1331.11108
Yuan, Pingzhi; Zheng, Yanbin
2015
Indexes of unsplittable minimal zero-sum sequences of length $$I(C_n)-1$$. Zbl 1205.11029
Xia, Xingwu; Yuan, Pingzhi
2010
Davenport constant with weights. Zbl 1197.11028
Yuan, Pingzhi; Zeng, Xiangneng
2010
On the number of solutions of diagonal equations over a finite field. Zbl 0848.11013
Sun, Qi; Yuan, Pingzhi
1996
On the rationality of Cantor and Ahmes series. Zbl 1018.11037
Tijdeman, R.; Yuan, Pingzhi
2002
On $$*$$-clean group rings. Zbl 1318.16024
Li, Yuanlin; Parmenter, M. M.; Yuan, Pingzhi
2015
On the number of solutions of $$x^2-4m(m+1)y^2=y^2-bz^2=1$$. Zbl 1050.11031
Yuan, Pingzhi
2004
Generalizations of classical results on Jeśmanowicz’ conjecture concerning Pythagorean triples. II. Zbl 1310.11040
Miyazaki, Takafumi; Yuan, Pingzhi; Wu, Danyao
2014
On $$\ast$$-clean group rings. II. Zbl 1355.16019
Huang, Hongdi; Li, Yuanlin; Yuan, Pingzhi
2016
On the number of solutions of simultaneous Pell equations. Zbl 1003.11007
Yuan, Pingzhi
2002
Large classes of permutation polynomials over $$\mathbb {F}_{q^2}$$. Zbl 1396.11139
Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi
2016
Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068
Komatsu, Takao; Yuan, Pingzhi
2017
Description of the invariant F(5) of zero-sum-free sequence. Zbl 1240.11045
Guan, Huanhuan; Zeng, Xiangneng; Yuan, Pingzhi
2010
Indexes of long zero-sum sequences over cyclic groups. Zbl 1262.11008
Zeng, Xiangneng; Yuan, Pingzhi
2011
Weighted Davenport’s constant and the weighted EGZ theorem. Zbl 1245.11032
Zeng, Xiangneng; Yuan, Pingzhi
2011
On products of $$k$$ atoms. II. Zbl 1381.20047
Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi
2015
On zero-sum free subsets of length 7. Zbl 1231.05295
Yuan, Pingzhi; Zeng, Xiangneng
2010
On algebraic approximations of certain algebraic numbers. Zbl 1095.11037
Yuan, Pingzhi
2003
On the symmetric digraphs from powers modulo $$n$$. Zbl 1238.05104
Deng, Guixin; Yuan, Pingzhi
2012
A conjecture on Euler numbers. Zbl 1080.11018
Yuan, Pingzhi
2004
Long unsplittable zero-sum sequences over a finite cyclic group. Zbl 1415.11038
Yuan, Pingzhi; Li, Yuanlin
2016
Integral trees of diameter 4. Zbl 0904.05024
Yuan, Pingzhi
1998
A conjecture on the primitive degree of tensors. Zbl 1288.15030
Yuan, Pingzhi; He, Zilong; You, Lihua
2014
On the structure of long zero-sum free sequences and $$n$$-zero-sum free sequences over finite cyclic groups. Zbl 1400.11058
Gao, Weidong; Li, Yuanlin; Yuan, Pingzhi; Zhuang, Jujuan
2015
Piecewise constructions of inverses of some permutation polynomials. Zbl 1355.11106
Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi
2015
The monotone catenary degree of Krull monoids. Zbl 1278.20079
Geroldinger, Alfred; Yuan, Pingzhi
2013
Simultaneous Pell equations. Zbl 1065.11013
Yuan, Pingzhi
2004
On the Diophantine equation $$ax^2+by^2=ck^n$$. Zbl 1088.11024
Yuan, Pingzhi
2005
A note on linear permutation polynomials. Zbl 1263.11109
Yuan, Pingzhi; Zeng, Xiangneng
2011
Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix and its applications. Zbl 1356.05084
You, Lihua; Shu, Yujie; Yuan, Pingzhi
2017
On the Diophantine equation $$x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}$$. Zbl 1217.11031
Yuan, Pingzhi; Hu, Yongzhong
2011
Rational and algebraic approximations of algebraic numbers and their application. Zbl 0908.11027
Yuan, Pingzhi
1997
Subsequence sums of a zero-sumfree sequence. Zbl 1170.20033
Yuan, Pingzhi
2009
On the exponent set of nonnegative primitive tensors. Zbl 1303.05113
He, Zilong; Yuan, Pingzhi; You, Lihua
2015
On the Diophantine equation $$\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}$$. Zbl 1063.11009
Yuan, Pingzhi
2005
Isomorphic digraphs from powers modulo $$p$$. Zbl 1249.05162
Deng, Guixin; Yuan, Pingzhi
2011
On the structure of long unsplittable minimal zero-sum sequences. Zbl 1402.11018
Zeng, Xiangneng; Yuan, Pingzhi; Li, Yuanlin
2016
On solutions of higher degree Diophantine equation. Zbl 0987.11023
Yuan, Pingzhi; Luo, Jiagui
2001
Squares in Lehmer sequences and the Diophantine equation $$Ax^4-By^2=2$$. Zbl 1220.11045
Yuan, Pingzhi; Li, Yuan
2009
A new result on Davenport constant. Zbl 1220.11014
Yuan, Pingzhi; Zeng, Xiangneng
2009
Subsequence sums of zero-sum-free sequences. Zbl 1248.11021
Yuan, Pingzhi
2009
On the structure of $$G(H,k)$$. Zbl 1286.05056
Deng, Guixin; Yuan, Pingzhi
2014
On a conjecture of differentially 8-uniform power functions. Zbl 1402.11149
Xiong, Maosheng; Yan, Haode; Yuan, Pingzhi
2018
Jeśmanowicz’ conjecture and related equations. Zbl 1410.11029
Yuan, Pingzhi; Han, Qing
2018
$$D$$-invariants and the solvability of $$kx^ 2 - ly^ 2 = 1,2$$. Zbl 0871.11020
Yuan, Pingzhi
1996
On the Diophantine equation $$ax^{y} + by^{z} + cz^{x} = 0$$. Zbl 1271.11040
Zhang, Zhongfeng; Yuan, Pingzhi
2012
Integers not of the form $$c(2^a+2^b)+p^{\alpha}$$. Zbl 1096.11007
Yuan, Pingzhi
2004
On the diophantine equation $$x^4-D\cdot y^2=1$$. Zbl 0908.11014
Sun, Qi; Yuan, Pingzhi
1997
Permutation polynomials of the form $$L(x) + S_{2k}^a + S_{2k}^b$$ over $$\mathbb{F}_{q^{3k}}$$. Zbl 1297.11149
Yuan, Pingzhi; Ding, Cunsheng
2014
On the similarity of tensors. Zbl 1294.15016
Yuan, Pingzhi; You, Lihua
2014
Symmetric digraphs from powers modulo $$n$$. Zbl 1242.05108
Deng, Guixin; Yuan, Pingzhi
2011
On the Diophantine equation $$(a^n - 1)(b^n -1) = x^2$$. Zbl 1263.11045
Yuan, Pingzhi; Zhang, Zhongfeng
2012
On multiplicative functions with $$f(p+q+n_{0})=f(p)+f(q)+f(n_{0})$$. Zbl 1360.11012
Chen, Yong-Gao; Fang, Jin-Hui; Yuan, Pingzhi; Zheng, Yueping
2016
Two conjectures on an addition theorem. Zbl 1290.11034
Zeng, Xiangneng; Yuan, Pingzhi
2011
Square-classes in Lehmer sequences having odd parameters and their applications. Zbl 1118.11008
Luo, Jiagui; Yuan, Pingzhi
2007
Number of zeros of diagonal polynomials over finite fields. Zbl 1003.11061
Ren, Debin; Sun, Qi; Yuan, Pingzhi
2001
On the diophantine equations $$(ax^ n-1)/(ax-1)=y^ 2$$ and $$(ax^ n+1)/(ax+1)=y^ 2$$. Zbl 0712.11023
Sun, Qi; Yuan, Pingzhi
1989
On the diophantine equation $$x^2+b^y=c^z$$. Zbl 0895.11016
Yuan, Pingzhi; Wang, Jiabao
1998
On the Diophantine equation $$X^2-(2^{2m}+1)Y^4=-2^{2m}$$. Zbl 1275.11057
Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi
2009
On the transcendence of some infinite sums. Zbl 1293.11082
Yuan, Pingzhi; Li, Juan
2009
Squares in $$\prod^n_{k=1}(ak^2+bk+c)$$. Zbl 1224.11055
Zhang, Zhongfeng; Yuan, Pingzhi
2010
Normal sequences over finite abelian groups. Zbl 1243.11014
Guan, Huanhuan; Yuan, Pingzhi; Zeng, Xiangneng
2011
The $$k$$-exponents of primitive, nearly reducible matrices. Zbl 1174.05054
Hu, Yahui; Yuan, Pingzhi; Liu, Weijun
2007
A note on Jeśmanowicz’ conjecture. Zbl 1424.11083
Han, Q.; Yuan, P.
2018
A new class of Aurifeuillian factorizations of $$M^n\pm 1$$. Zbl 0959.11002
Sun, Qi; Ren, Debin; Hong, Shaofang; Yuan, Pingzhi; Han, Qing
1999
The divisibility of the class numbers of real quadratic fields. Zbl 1005.11058
Yuan, Pingzhi
1998
On the Diophantine equation $$x^2+D^m=p^n$$. Zbl 1076.11021
Yuan, Pingzhi; Hu, Yongzhong
2005
On some equations related to Ma’s conjecture. Zbl 1250.11035
Luo, Jiagui; Togbé, Alain; Yuan, Pingzhi
2011
On the Diophantine equation $$\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2$$. Zbl 1265.11064
Luo, Jiagui; Yuan, Pingzhi
2011
On the diophantine equation $$x^ 4-Dy^ 2=1$$. Zbl 0857.11008
Sun, Qi; Yuan, Pingzhi
1996
On the Diophantine equation $$a^x+b^y=(a+2)^z$$. Zbl 1389.11088
Miyazaki, T.; Togbé, A.; Yuan, P.
2016
On the Diophantine equation $$x^y+y^x=z^z$$. Zbl 1299.11037
Zhang, Zhongfeng; Luo, Jiagui; Yuan, Pingzhi
2013
On the Diophantine equation $$X^2-(a^2+4p^{2n})Y^4=-4p^{2n}$$. Zbl 1313.11062
Yuan, Pingzhi; Zhang, Zhongfeng
2014
On the Diophantine equation $$Dx^2+1= ca^n$$. Zbl 1134.11321
Yuan, Pingzhi
2005
Multiplicity of generalized Lucas sequences and the number of solutions of the related diophantine equations. Zbl 0987.11022
Yuan, Pingzhi
2000
On a special diophantine equation $$a{x \choose n}=by^ r+c$$. Zbl 0821.11023
Yuan, Pingzhi
1994
Congruence subgroups of Hecke groups. Zbl 1210.11050
Chen, Bo; Yuan, Pingzhi
2009
On the diophantine equation $$ax^2+(3a+1)^m=(4a+1)^n$$. Zbl 1212.11054
Yuan, Pingzhi; Hu, Yongzhong
2010
On some special forms of simultaneous Pell equations. Zbl 1158.11014
Li, Zhigang; Xia, Jianye; Yuan, Pingzhi
2007
On the Diophantine equations $$(a-1)x^2+(91a+9)=4a^n$$. Zbl 1224.11058
Li, Zhigang; Yuan, Pingzhi
2010
On Jeśmanowicz conjecture concerning Pythagorean numbers. Zbl 1224.11049
Hu, Yongzhong; Yuan, Pingzhi
2010
On a conjecture of Lemke and Kleitman. Zbl 1362.11024
Zeng, Xiangneng; Li, Yuanlin; Yuan, Pingzhi
2015
On the exponential diophantine equation $$a^x+b^y=c^z$$. Zbl 1124.11307
Hu, Yongzhong; Yuan, Pingzhi
2005
On sums of consecutive integral roots. Zbl 1239.11028
Saltzman, Peter W.; Yuan, Pingzhi
2008
Further results and some open problems on the primitive degree of nonnegative tensors. Zbl 1314.05122
Yuan, Pingzhi; He, Zilong; You, Lihua
2015
On a conjecture of differentially 8-uniform power functions. Zbl 1402.11149
Xiong, Maosheng; Yan, Haode; Yuan, Pingzhi
2018
Jeśmanowicz’ conjecture and related equations. Zbl 1410.11029
Yuan, Pingzhi; Han, Qing
2018
A note on Jeśmanowicz’ conjecture. Zbl 1424.11083
Han, Q.; Yuan, P.
2018
Permutation trinomials over $$\mathbb{F}_{2^m}$$. Zbl 1431.11131
Wu, Danyao; Yuan, Pingzhi; Ding, Cunsheng; Ma, Yuzhen
2017
Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068
Komatsu, Takao; Yuan, Pingzhi
2017
Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix and its applications. Zbl 1356.05084
You, Lihua; Shu, Yujie; Yuan, Pingzhi
2017
On $$\ast$$-clean group rings. II. Zbl 1355.16019
Huang, Hongdi; Li, Yuanlin; Yuan, Pingzhi
2016
Large classes of permutation polynomials over $$\mathbb {F}_{q^2}$$. Zbl 1396.11139
Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi
2016
Long unsplittable zero-sum sequences over a finite cyclic group. Zbl 1415.11038
Yuan, Pingzhi; Li, Yuanlin
2016
On the structure of long unsplittable minimal zero-sum sequences. Zbl 1402.11018
Zeng, Xiangneng; Yuan, Pingzhi; Li, Yuanlin
2016
On multiplicative functions with $$f(p+q+n_{0})=f(p)+f(q)+f(n_{0})$$. Zbl 1360.11012
Chen, Yong-Gao; Fang, Jin-Hui; Yuan, Pingzhi; Zheng, Yueping
2016
On the Diophantine equation $$a^x+b^y=(a+2)^z$$. Zbl 1389.11088
Miyazaki, T.; Togbé, A.; Yuan, P.
2016
Permutation trinomials over finite fields with even characteristic. Zbl 1352.11102
Ding, Cunsheng; Qu, Longjiang; Wang, Qiang; Yuan, Jin; Yuan, Pingzhi
2015
Permutation polynomials from piecewise functions. Zbl 1331.11108
Yuan, Pingzhi; Zheng, Yanbin
2015
On $$*$$-clean group rings. Zbl 1318.16024
Li, Yuanlin; Parmenter, M. M.; Yuan, Pingzhi
2015
On products of $$k$$ atoms. II. Zbl 1381.20047
Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi
2015
On the structure of long zero-sum free sequences and $$n$$-zero-sum free sequences over finite cyclic groups. Zbl 1400.11058
Gao, Weidong; Li, Yuanlin; Yuan, Pingzhi; Zhuang, Jujuan
2015
Piecewise constructions of inverses of some permutation polynomials. Zbl 1355.11106
Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi
2015
On the exponent set of nonnegative primitive tensors. Zbl 1303.05113
He, Zilong; Yuan, Pingzhi; You, Lihua
2015
On a conjecture of Lemke and Kleitman. Zbl 1362.11024
Zeng, Xiangneng; Li, Yuanlin; Yuan, Pingzhi
2015
Further results and some open problems on the primitive degree of nonnegative tensors. Zbl 1314.05122
Yuan, Pingzhi; He, Zilong; You, Lihua
2015
Further results on permutation polynomials over finite fields. Zbl 1297.11148
Yuan, Pingzhi; Ding, Cunsheng
2014
Some remarks on $$P$$, $$P_0$$, $$B$$ and $$B_0$$ tensors. Zbl 1307.15033
Yuan, Pingzhi; You, Lihua
2014
Generalizations of classical results on Jeśmanowicz’ conjecture concerning Pythagorean triples. II. Zbl 1310.11040
Miyazaki, Takafumi; Yuan, Pingzhi; Wu, Danyao
2014
A conjecture on the primitive degree of tensors. Zbl 1288.15030
Yuan, Pingzhi; He, Zilong; You, Lihua
2014
On the structure of $$G(H,k)$$. Zbl 1286.05056
Deng, Guixin; Yuan, Pingzhi
2014
Permutation polynomials of the form $$L(x) + S_{2k}^a + S_{2k}^b$$ over $$\mathbb{F}_{q^{3k}}$$. Zbl 1297.11149
Yuan, Pingzhi; Ding, Cunsheng
2014
On the similarity of tensors. Zbl 1294.15016
Yuan, Pingzhi; You, Lihua
2014
On the Diophantine equation $$X^2-(a^2+4p^{2n})Y^4=-4p^{2n}$$. Zbl 1313.11062
Yuan, Pingzhi; Zhang, Zhongfeng
2014
The monotone catenary degree of Krull monoids. Zbl 1278.20079
Geroldinger, Alfred; Yuan, Pingzhi
2013
On the Diophantine equation $$x^y+y^x=z^z$$. Zbl 1299.11037
Zhang, Zhongfeng; Luo, Jiagui; Yuan, Pingzhi
2013
The set of distances in Krull monoids. Zbl 1255.13002
Geroldinger, Alfred; Yuan, Pingzhi
2012
On the symmetric digraphs from powers modulo $$n$$. Zbl 1238.05104
Deng, Guixin; Yuan, Pingzhi
2012
On the Diophantine equation $$ax^{y} + by^{z} + cz^{x} = 0$$. Zbl 1271.11040
Zhang, Zhongfeng; Yuan, Pingzhi
2012
On the Diophantine equation $$(a^n - 1)(b^n -1) = x^2$$. Zbl 1263.11045
Yuan, Pingzhi; Zhang, Zhongfeng
2012
Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100
Yuan, Pingzhi; Ding, Cunsheng
2011
Indexes of long zero-sum sequences over cyclic groups. Zbl 1262.11008
Zeng, Xiangneng; Yuan, Pingzhi
2011
Weighted Davenport’s constant and the weighted EGZ theorem. Zbl 1245.11032
Zeng, Xiangneng; Yuan, Pingzhi
2011
A note on linear permutation polynomials. Zbl 1263.11109
Yuan, Pingzhi; Zeng, Xiangneng
2011
On the Diophantine equation $$x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}$$. Zbl 1217.11031
Yuan, Pingzhi; Hu, Yongzhong
2011
Isomorphic digraphs from powers modulo $$p$$. Zbl 1249.05162
Deng, Guixin; Yuan, Pingzhi
2011
Symmetric digraphs from powers modulo $$n$$. Zbl 1242.05108
Deng, Guixin; Yuan, Pingzhi
2011
Two conjectures on an addition theorem. Zbl 1290.11034
Zeng, Xiangneng; Yuan, Pingzhi
2011
Normal sequences over finite abelian groups. Zbl 1243.11014
Guan, Huanhuan; Yuan, Pingzhi; Zeng, Xiangneng
2011
On some equations related to Ma’s conjecture. Zbl 1250.11035
Luo, Jiagui; Togbé, Alain; Yuan, Pingzhi
2011
On the Diophantine equation $$\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2$$. Zbl 1265.11064
Luo, Jiagui; Yuan, Pingzhi
2011
Minimal zero sum sequences of length four over finite cyclic groups. Zbl 1204.11021
Li, Yuanlin; Plyley, Chris; Yuan, Pingzhi; Zeng, Xiangneng
2010
Indexes of unsplittable minimal zero-sum sequences of length $$I(C_n)-1$$. Zbl 1205.11029
Xia, Xingwu; Yuan, Pingzhi
2010
Davenport constant with weights. Zbl 1197.11028
Yuan, Pingzhi; Zeng, Xiangneng
2010
Description of the invariant F(5) of zero-sum-free sequence. Zbl 1240.11045
Guan, Huanhuan; Zeng, Xiangneng; Yuan, Pingzhi
2010
On zero-sum free subsets of length 7. Zbl 1231.05295
Yuan, Pingzhi; Zeng, Xiangneng
2010
Squares in $$\prod^n_{k=1}(ak^2+bk+c)$$. Zbl 1224.11055
Zhang, Zhongfeng; Yuan, Pingzhi
2010
On the diophantine equation $$ax^2+(3a+1)^m=(4a+1)^n$$. Zbl 1212.11054
Yuan, Pingzhi; Hu, Yongzhong
2010
On the Diophantine equations $$(a-1)x^2+(91a+9)=4a^n$$. Zbl 1224.11058
Li, Zhigang; Yuan, Pingzhi
2010
On Jeśmanowicz conjecture concerning Pythagorean numbers. Zbl 1224.11049
Hu, Yongzhong; Yuan, Pingzhi
2010
Explicit classes of permutation polynomials of $$\mathbb F_{3^{3m}}$$. Zbl 1215.11113
Ding, Cunsheng; Xiang, Qing; Yuan, Jin; Yuan, Pingzhi
2009
Subsequence sums of a zero-sumfree sequence. Zbl 1170.20033
Yuan, Pingzhi
2009
Squares in Lehmer sequences and the Diophantine equation $$Ax^4-By^2=2$$. Zbl 1220.11045
Yuan, Pingzhi; Li, Yuan
2009
A new result on Davenport constant. Zbl 1220.11014
Yuan, Pingzhi; Zeng, Xiangneng
2009
Subsequence sums of zero-sum-free sequences. Zbl 1248.11021
Yuan, Pingzhi
2009
On the Diophantine equation $$X^2-(2^{2m}+1)Y^4=-2^{2m}$$. Zbl 1275.11057
Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi
2009
On the transcendence of some infinite sums. Zbl 1293.11082
Yuan, Pingzhi; Li, Juan
2009
Congruence subgroups of Hecke groups. Zbl 1210.11050
Chen, Bo; Yuan, Pingzhi
2009
On sums of consecutive integral roots. Zbl 1239.11028
Saltzman, Peter W.; Yuan, Pingzhi
2008
On the index of minimal zero-sum sequences over finite cyclic groups. Zbl 1128.11011
Yuan, Pingzhi
2007
Square-classes in Lehmer sequences having odd parameters and their applications. Zbl 1118.11008
Luo, Jiagui; Yuan, Pingzhi
2007
The $$k$$-exponents of primitive, nearly reducible matrices. Zbl 1174.05054
Hu, Yahui; Yuan, Pingzhi; Liu, Weijun
2007
On some special forms of simultaneous Pell equations. Zbl 1158.11014
Li, Zhigang; Xia, Jianye; Yuan, Pingzhi
2007
On the Diophantine equation $$ax^2+by^2=ck^n$$. Zbl 1088.11024
Yuan, Pingzhi
2005
On the Diophantine equation $$\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}$$. Zbl 1063.11009
Yuan, Pingzhi
2005
On the Diophantine equation $$x^2+D^m=p^n$$. Zbl 1076.11021
Yuan, Pingzhi; Hu, Yongzhong
2005
On the Diophantine equation $$Dx^2+1= ca^n$$. Zbl 1134.11321
Yuan, Pingzhi
2005
On the exponential diophantine equation $$a^x+b^y=c^z$$. Zbl 1124.11307
Hu, Yongzhong; Yuan, Pingzhi
2005
On the number of solutions of $$x^2-4m(m+1)y^2=y^2-bz^2=1$$. Zbl 1050.11031
Yuan, Pingzhi
2004
A conjecture on Euler numbers. Zbl 1080.11018
Yuan, Pingzhi
2004
Simultaneous Pell equations. Zbl 1065.11013
Yuan, Pingzhi
2004
Integers not of the form $$c(2^a+2^b)+p^{\alpha}$$. Zbl 1096.11007
Yuan, Pingzhi
2004
On algebraic approximations of certain algebraic numbers. Zbl 1095.11037
Yuan, Pingzhi
2003
On the rationality of Cantor and Ahmes series. Zbl 1018.11037
Tijdeman, R.; Yuan, Pingzhi
2002
On the number of solutions of simultaneous Pell equations. Zbl 1003.11007
Yuan, Pingzhi
2002
On solutions of higher degree Diophantine equation. Zbl 0987.11023
Yuan, Pingzhi; Luo, Jiagui
2001
Number of zeros of diagonal polynomials over finite fields. Zbl 1003.11061
Ren, Debin; Sun, Qi; Yuan, Pingzhi
2001
Multiplicity of generalized Lucas sequences and the number of solutions of the related diophantine equations. Zbl 0987.11022
Yuan, Pingzhi
2000
A new class of Aurifeuillian factorizations of $$M^n\pm 1$$. Zbl 0959.11002
Sun, Qi; Ren, Debin; Hong, Shaofang; Yuan, Pingzhi; Han, Qing
1999
Integral trees of diameter 4. Zbl 0904.05024
Yuan, Pingzhi
1998
On the diophantine equation $$x^2+b^y=c^z$$. Zbl 0895.11016
Yuan, Pingzhi; Wang, Jiabao
1998
The divisibility of the class numbers of real quadratic fields. Zbl 1005.11058
Yuan, Pingzhi
1998
Rational and algebraic approximations of algebraic numbers and their application. Zbl 0908.11027
Yuan, Pingzhi
1997
On the diophantine equation $$x^4-D\cdot y^2=1$$. Zbl 0908.11014
Sun, Qi; Yuan, Pingzhi
1997
On the number of solutions of diagonal equations over a finite field. Zbl 0848.11013
Sun, Qi; Yuan, Pingzhi
1996
$$D$$-invariants and the solvability of $$kx^ 2 - ly^ 2 = 1,2$$. Zbl 0871.11020
Yuan, Pingzhi
1996
On the diophantine equation $$x^ 4-Dy^ 2=1$$. Zbl 0857.11008
Sun, Qi; Yuan, Pingzhi
1996
On a special diophantine equation $$a{x \choose n}=by^ r+c$$. Zbl 0821.11023
Yuan, Pingzhi
1994
On the diophantine equations $$(ax^ n-1)/(ax-1)=y^ 2$$ and $$(ax^ n+1)/(ax+1)=y^ 2$$. Zbl 0712.11023
Sun, Qi; Yuan, Pingzhi
1989
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#### Cited by 405 Authors

 36 Yuan, Pingzhi 20 Geroldinger, Alfred 18 Zeng, Xiangyong 15 Li, Yuanlin 12 Tu, Ziran 12 Zhong, Qinghai 11 Peng, Jiangtao 10 Helleseth, Tor 10 Wang, Qiang (Steven) 10 Zha, Zhengbang 9 Bartoli, Daniele 9 Gao, Weidong 9 Grynkiewicz, David J. 9 Hu, Lei 9 Schmid, Wolfgang Alexander 8 Cao, Xiwang 8 Li, Nian 7 Hou, Xiang-Dong 7 Komatsu, Takao 7 Zeng, Xiangneng 6 Qu, Longjiang 6 Togbé, Alain 6 Zheng, Yanbin 5 Deng, Guixin 5 Ding, Cunsheng 5 Huang, Zheng-Hai 5 Le, Maohua 5 Li, Chunlei 5 Li, Kangquan 5 Liu, Chao 5 Miyazaki, Takafumi 5 Wang, Ligong 5 You, Lihua 4 Adhikari, Sukumar Das 4 Baoulina, Ioulia N. 4 Cipu, Mihai 4 Fan, Yushuang 4 Han, Dongchun 4 Li, Yaotang 4 Liu, Guodong 4 Philipp, Andreas 4 Qi, Liqun 4 Wang, Guoqing 4 Wang, Libo 4 Wu, Baofeng 4 Zhang, Wenpeng 3 Bennett, Michael A. 3 Feng, Xiutao 3 Ge, Fan 3 Gupta, Rohit 3 Hančl, Jaroslav 3 He, Bo 3 Hu, Yongzhong 3 Huang, Meiling 3 Hui, Wanzhen 3 Karaatli, Olcay 3 Keskin, Refik 3 Li, Chaoqian 3 Li, Xueliang 3 Liu, Xianping 3 Luca, Florian 3 Ordaz, Oscar 3 Pei, Dingyi 3 Şiar, Zafer 3 Sun, Fang 3 Tang, Gaohua 3 Timpanella, Marco 3 Xia, Limeng 3 Xu, Guangkui 3 Zhang, Hanbin 3 Zhang, Weiguo 3 Zheng, Dabin 2 Bai, Xueli 2 Bu, Changjiang 2 Cao, Zhenfu 2 Cepak, Nastja 2 Chen, Jianhua 2 Chen, Xi 2 Deng, Chunli 2 Dong, Xiaolei 2 Fernando, Neranga 2 Fu, Ruiqin 2 Fujita, Yasutsugu Fujita 2 Ge, Gennian 2 He, Hongjin 2 He, Zilong 2 Huang, Hongdi 2 Jadrijević, Borka 2 Jiao, Aiquan 2 Kan, Haibin 2 Karadeniz Gözeri, Gül 2 Kihel, Omar 2 Li, Chaoyun 2 Li, Chengju 2 Li, Lisha 2 Lin, Dongdai 2 Ling, Chen 2 Liu, Qian 2 Liu, Zhuojun 2 Luo, Jiagui ...and 305 more Authors
all top 5

#### Cited in 100 Serials

 75 Finite Fields and their Applications 19 Journal of Number Theory 18 International Journal of Number Theory 15 Cryptography and Communications 9 Discrete Mathematics 9 Designs, Codes and Cryptography 9 Linear Algebra and its Applications 9 Journal of Algebra and its Applications 8 Science China. Mathematics 7 Journal of Combinatorial Theory. Series A 6 Linear and Multilinear Algebra 6 Periodica Mathematica Hungarica 6 European Journal of Combinatorics 6 Frontiers of Mathematics in China 5 Acta Arithmetica 5 Applicable Algebra in Engineering, Communication and Computing 5 The Ramanujan Journal 4 Communications in Algebra 4 Journal of Algebra 4 Journal of Pure and Applied Algebra 4 Proceedings of the American Mathematical Society 4 Proceedings of the Japan Academy. Series A 4 Acta Mathematica Hungarica 4 Integers 3 Bulletin of the Australian Mathematical Society 3 Discrete Applied Mathematics 3 Applied Mathematics and Computation 3 Colloquium Mathematicum 3 Functiones et Approximatio. Commentarii Mathematici 3 Monatshefte für Mathematik 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Indagationes Mathematicae. New Series 3 Acta Mathematica Sinica. English Series 3 Journal of the Australian Mathematical Society 3 Journal of Applied Mathematics 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Journal of Optimization Theory and Applications 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 International Journal of Algebra and Computation 2 Computational Optimization and Applications 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Inequalities and Applications 2 Mediterranean Journal of Mathematics 2 Journal of Industrial and Management Optimization 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Quaestiones Mathematicae 1 Semigroup Forum 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 1 SIAM Journal on Discrete Mathematics 1 Science in China. Series A 1 International Journal of Foundations of Computer Science 1 Numerical Algorithms 1 Glasnik Matematički. Serija III 1 International Journal of Computer Mathematics 1 Journal of Algebraic Combinatorics 1 Turkish Journal of Mathematics 1 The Electronic Journal of Combinatorics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Discrete Dynamics in Nature and Society 1 Journal of Integer Sequences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 JP Journal of Algebra, Number Theory and Applications 1 Advances in Difference Equations 1 African Diaspora Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Advances in Mathematics of Communications 1 Acta Mathematica Universitatis Ostraviensis 1 Ars Mathematica Contemporanea 1 Journal of Commutative Algebra 1 Discrete Mathematics, Algorithms and Applications 1 São Paulo Journal of Mathematical Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Analysis and Mathematical Physics 1 Journal of Mathematics 1 ISRN Combinatorics 1 Research in the Mathematical Sciences
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#### Cited in 27 Fields

 292 Number theory (11-XX) 64 Combinatorics (05-XX) 55 Group theory and generalizations (20-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 28 Commutative algebra (13-XX) 16 Associative rings and algebras (16-XX) 14 Information and communication theory, circuits (94-XX) 11 Field theory and polynomials (12-XX) 11 Numerical analysis (65-XX) 7 Operations research, mathematical programming (90-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 3 Algebraic geometry (14-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)