Edit Profile (opens in new tab) Yuan, Pingzhi Co-Author Distance Author ID: yuan.pingzhi Published as: Yuan, Pingzhi; Yuan, Ping Zhi; Yuan, P.; Yuan, Ping-Zhi more...less External Links: ORCID · ResearchGate · dblp Documents Indexed: 201 Publications since 1988, including 15 Additional arXiv Preprints Co-Authors: 83 Co-Authors with 156 Joint Publications 2,157 Co-Co-Authors all top 5 Co-Authors 44 single-authored 17 Wu, Danyao 14 Luo, Jiagui 14 Zeng, Xiangneng 11 Zhang, Zhongfeng 9 You, Lihua 8 Ding, Cunsheng 8 Sun, Qi 7 Hu, Yongzhong 7 Li, Yuanlin 6 Guan, Huanhuan 6 Han, Qing 5 Deng, Guixin 5 Li, Hongjian 5 Togbé, Alain 4 He, Zilong 4 Li, Juan 4 Li, Zhigang 3 Bai, Hairong 3 Chen, Bo 3 Chen, Yafei 3 Deng, Naijuan 3 Geroldinger, Alfred 3 Zhang, Weilin 3 Zheng, Yanbin 2 Chen, Xuesheng 2 Chiu, Sunben 2 He, Yuqing 2 Hu, Yahui 2 Kizildere, Elif 2 Li, Yuan 2 Luo, Wenyu 2 Ma, Yuzhen 2 Miyazaki, Takafumi 2 Pei, Dingyi 2 Ren, Debin 2 Soydan, Gokhan 2 Xia, Jianye 2 Yuan, Jin 2 Zhang, Zhilin 2 Zhao, Kevin 2 Zhou, Tao 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 Komatsu, Takao 1 Liang, Xinran 1 Lin, Jun 1 Liu, Ruo Ting 1 Liu, Weijun 1 Liu, Yang 1 Lu, Ziqun 1 Parmenter, Michael M. 1 Plyley, Chris 1 Qu, Longjiang 1 Saltzman, Peter W. 1 Shen, Jieqin 1 Shen, Xuesheng 1 Shu, Yujie 1 Stoll, Michael 1 Su, Huadong 1 Tang, Gaohua 1 Tijdeman, Robert 1 Walsh, Peter Gareth 1 Wang, Jiabao 1 Wang, Qiang (Steven) 1 Xia, Xingwu 1 Xiang, Qing 1 Xiao, Jiaqi 1 Xiong, Maosheng 1 Yahui, Hu 1 Yan, Haode 1 Yin, Qianqian 1 Zegeling, Paul Andries 1 Zheng, Yueping 1 Zhou, Fangmin 1 Zhou, Junyi 1 Zhou, Shenglin all top 5 Serials 13 Acta Arithmetica 13 Finite Fields and their Applications 10 Acta Mathematica Sinica. Chinese Series 8 Journal of Number Theory 8 Journal of Sichuan University. Natural Science Edition 7 Acta Mathematica Sinica 5 Chinese Annals of Mathematics. Series A 5 Linear Algebra and its Applications 5 The Electronic Journal of Combinatorics 5 Integers 4 Communications in Algebra 4 Discrete Mathematics 4 Publicationes Mathematicae Debrecen 4 Acta Mathematica Hungarica 3 Ars Combinatoria 3 European Journal of Combinatorics 3 Journal of Mathematical Research & Exposition 3 Advances in Mathematics (Beijing) 3 Journal of Natural Science of Heilongjiang University 3 Designs, Codes and Cryptography 3 Applicable Algebra in Engineering, Communication and Computing 3 Acta Mathematica Sinica. English Series 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 Colloquium Mathematicum 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Combinatorial Theory. Series A 2 Acta Scientiarum Naturalium Universitatis Sunyatseni 2 Science in China. Series A 2 Indagationes Mathematicae. New Series 2 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 2 Algebra Colloquium 2 JP Journal of Algebra, Number Theory and Applications 2 International Journal of Number Theory 2 Science China. Mathematics 2 Journal of Mathematical Research with Applications 1 Computers & Mathematics with Applications 1 Linear and Multilinear Algebra 1 Applied Mathematics and Computation 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 Bulletin of the Korean Mathematical Society 1 Mathematics in Practice and Theory 1 Journal of Systems Science and Mathematical Sciences 1 SIAM Journal on Discrete Mathematics 1 Glasnik Matematički. Serija III 1 Chinese Science Bulletin 1 Applied Mathematics. Series A (Chinese Edition) 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Scientiae Mathematicae 1 Journal of Integer Sequences 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Journal of South China Normal University. Natural Science Edition 1 Journal of Applied Mathematics 1 Journal of Algebra and its Applications 1 Advances in Mathematics of Communications 1 Chinese Journal of Engineering Mathematics 1 Communications in Mathematical Research 1 Open Journal of Discrete Mathematics 1 Moscow Journal of Combinatorics and Number Theory all top 5 Fields 168 Number theory (11-XX) 21 Combinatorics (05-XX) 21 Group theory and generalizations (20-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 8 Field theory and polynomials (12-XX) 4 Information and communication theory, circuits (94-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 121 Publications have been cited 863 times in 553 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 69 2015 Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100 Yuan, Pingzhi; Ding, Cunsheng 60 2011 Further results on permutation polynomials over finite fields. Zbl 1297.11148 Yuan, Pingzhi; Ding, Cunsheng 50 2014 On the index of minimal zero-sum sequences over finite cyclic groups. Zbl 1128.11011 Yuan, Pingzhi 37 2007 Some remarks on \(P\), \(P_0\), \(B\) and \(B_0\) tensors. Zbl 1307.15033 Yuan, Pingzhi; You, Lihua 32 2014 Permutation trinomials over \(\mathbb{F}_{2^m}\). Zbl 1431.11131 Wu, Danyao; Yuan, Pingzhi; Ding, Cunsheng; Ma, Yuzhen 28 2017 Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\). Zbl 1215.11113 Ding, Cunsheng; Xiang, Qing; Yuan, Jin; Yuan, Pingzhi 22 2009 The set of distances in Krull monoids. Zbl 1255.13002 Geroldinger, Alfred; Yuan, Pingzhi 22 2012 Permutation polynomials from piecewise functions. Zbl 1331.11108 Yuan, Pingzhi; Zheng, Yanbin 20 2015 Davenport constant with weights. Zbl 1197.11028 Yuan, Pingzhi; Zeng, Xiangneng 20 2010 Minimal zero sum sequences of length four over finite cyclic groups. Zbl 1204.11021 Li, Yuanlin; Plyley, Chris; Yuan, Pingzhi; Zeng, Xiangneng 15 2010 Indexes of unsplittable minimal zero-sum sequences of length \(I(C_n)-1\). Zbl 1205.11029 Xia, Xingwu; Yuan, Pingzhi 14 2010 Large classes of permutation polynomials over \(\mathbb {F}_{q^2}\). Zbl 1396.11139 Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi 14 2016 On a conjecture of differentially 8-uniform power functions. Zbl 1402.11149 Xiong, Maosheng; Yan, Haode; Yuan, Pingzhi 13 2018 On the number of solutions of diagonal equations over a finite field. Zbl 0848.11013 Sun, Qi; Yuan, Pingzhi 12 1996 On the number of solutions of \(x^2-4m(m+1)y^2=y^2-bz^2=1\). Zbl 1050.11031 Yuan, Pingzhi 12 2004 On the rationality of Cantor and Ahmes series. Zbl 1018.11037 Tijdeman, R.; Yuan, Pingzhi 12 2002 Generalizations of classical results on Jeśmanowicz’ conjecture concerning Pythagorean triples. II. Zbl 1310.11040 Miyazaki, Takafumi; Yuan, Pingzhi; Wu, Danyao 12 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 12 2014 Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068 Komatsu, Takao; Yuan, Pingzhi 12 2017 On \(*\)-clean group rings. Zbl 1318.16024 Li, Yuanlin; Parmenter, M. M.; Yuan, Pingzhi 11 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 10 2015 On products of \(k\) atoms. II. Zbl 1381.20047 Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi 10 2015 On the Diophantine equation \(ax^2+by^2=ck^n\). Zbl 1088.11024 Yuan, Pingzhi 10 2005 On zero-sum free subsets of length 7. Zbl 1231.05295 Yuan, Pingzhi; Zeng, Xiangneng 10 2010 On \(\ast\)-clean group rings. II. Zbl 1355.16019 Huang, Hongdi; Li, Yuanlin; Yuan, Pingzhi 10 2016 On the number of solutions of simultaneous Pell equations. Zbl 1003.11007 Yuan, Pingzhi 9 2002 Weighted Davenport’s constant and the weighted EGZ theorem. Zbl 1245.11032 Zeng, Xiangneng; Yuan, Pingzhi 9 2011 Description of the invariant F(5) of zero-sum-free sequence. Zbl 1240.11045 Guan, Huanhuan; Zeng, Xiangneng; Yuan, Pingzhi 9 2010 Subsequence sums of zero-sum-free sequences. Zbl 1248.11021 Yuan, Pingzhi 8 2009 Subsequence sums of a zero-sumfree sequence. Zbl 1170.20033 Yuan, Pingzhi 8 2009 On the diophantine equation \(x^2+b^y=c^z\). Zbl 0895.11016 Yuan, Pingzhi; Wang, Jiabao 7 1998 On a special diophantine equation \(a{x \choose n}=by^ r+c\). Zbl 0821.11023 Yuan, Pingzhi 7 1994 On the Diophantine equation \(x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}\). Zbl 1217.11031 Yuan, Pingzhi; Hu, Yongzhong 7 2011 The monotone catenary degree of Krull monoids. Zbl 1278.20079 Geroldinger, Alfred; Yuan, Pingzhi 7 2013 Integral trees of diameter 4. Zbl 0904.05024 Yuan, Pingzhi 6 1998 On the diophantine equation \(x^4-D\cdot y^2=1\). Zbl 0908.11014 Sun, Qi; Yuan, Pingzhi 6 1997 Piecewise constructions of inverses of some permutation polynomials. Zbl 1355.11106 Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi 6 2015 Long unsplittable zero-sum sequences over a finite cyclic group. Zbl 1415.11038 Yuan, Pingzhi; Li, Yuanlin 6 2016 A conjecture on Euler numbers. Zbl 1080.11018 Yuan, Pingzhi 6 2004 More explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\). Zbl 1188.11064 Yuan, Pingzhi 6 2010 A note on linear permutation polynomials. Zbl 1263.11109 Yuan, Pingzhi; Zeng, Xiangneng 6 2011 Indexes of long zero-sum sequences over cyclic groups. Zbl 1262.11008 Zeng, Xiangneng; Yuan, Pingzhi 6 2011 On the symmetric digraphs from powers modulo \(n\). Zbl 1238.05104 Deng, Guixin; Yuan, Pingzhi 6 2012 A conjecture on the primitive degree of tensors. Zbl 1288.15030 Yuan, Pingzhi; He, Zilong; You, Lihua 6 2014 Squares in Lehmer sequences and the Diophantine equation \(Ax^4-By^2=2\). Zbl 1220.11045 Yuan, Pingzhi; Li, Yuan 6 2009 Rational and algebraic approximations of algebraic numbers and their application. Zbl 0908.11027 Yuan, Pingzhi 5 1997 On algebraic approximations of certain algebraic numbers. Zbl 1095.11037 Yuan, Pingzhi 5 2003 Jeśmanowicz’ conjecture and related equations. Zbl 1410.11029 Yuan, Pingzhi; Han, Qing 5 2018 Simultaneous Pell equations. Zbl 1065.11013 Yuan, Pingzhi 5 2004 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 5 1989 On the structure of long unsplittable minimal zero-sum sequences. Zbl 1402.11018 Zeng, Xiangneng; Yuan, Pingzhi; Li, Yuanlin 5 2016 On the Diophantine equation \(\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}\). Zbl 1063.11009 Yuan, Pingzhi 5 2005 \(D\)-invariants and the solvability of \(kx^ 2 - ly^ 2 = 1,2\). Zbl 0871.11020 Yuan, Pingzhi 4 1996 Integers not of the form \(c(2^a+2^b)+p^{\alpha}\). Zbl 1096.11007 Yuan, Pingzhi 4 2004 A note on Jeśmanowicz’ conjecture. Zbl 1424.11083 Han, Q.; Yuan, P. 4 2018 Normal sequences over finite abelian groups. Zbl 1243.11014 Guan, Huanhuan; Yuan, Pingzhi; Zeng, Xiangneng 4 2011 On the structure of \(G(H,k)\). Zbl 1286.05056 Deng, Guixin; Yuan, Pingzhi 4 2014 On the similarity of tensors. Zbl 1294.15016 Yuan, Pingzhi; You, Lihua 4 2014 On a combinatorial conjecture of Tu and Deng. Zbl 1283.94062 Deng, Guixin; Yuan, Pingzhi 4 2012 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 4 2017 Squares in \(\prod^n_{k=1}(ak^2+bk+c)\). Zbl 1224.11055 Zhang, Zhongfeng; Yuan, Pingzhi 4 2010 On the Diophantine equation \((a^n - 1)(b^n -1) = x^2\). Zbl 1263.11045 Yuan, Pingzhi; Zhang, Zhongfeng 4 2012 Further results on permutation polynomials from trace functions. Zbl 1498.11234 Wu, Danyao; Yuan, Pingzhi 4 2022 Square-classes in Lehmer sequences having odd parameters and their applications. Zbl 1118.11008 Luo, Jiagui; Yuan, Pingzhi 3 2007 On solutions of higher degree Diophantine equation. Zbl 0987.11023 Yuan, Pingzhi; Luo, Jiagui 3 2001 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 3 2016 On the Diophantine equation \(x^2+D^m=p^n\). Zbl 1076.11021 Yuan, Pingzhi; Hu, Yongzhong 3 2005 A note on the divisibility of the generalized Lucas sequences. Zbl 1039.11005 Yuan, Pingzhi 3 2002 Two conjectures on an addition theorem. Zbl 1290.11034 Zeng, Xiangneng; Yuan, Pingzhi 3 2011 On the Diophantine equation \(\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2\). Zbl 1265.11064 Luo, Jiagui; Yuan, Pingzhi 3 2011 Isomorphic digraphs from powers modulo \(p\). Zbl 1249.05162 Deng, Guixin; Yuan, Pingzhi 3 2011 On the exponent set of nonnegative primitive tensors. Zbl 1303.05113 He, Zilong; Yuan, Pingzhi; You, Lihua 3 2015 On the Diophantine equation \(a^x+b^y=(a+2)^z\). Zbl 1389.11088 Miyazaki, T.; Togbé, A.; Yuan, P. 3 2016 A new result on Davenport constant. Zbl 1220.11014 Yuan, Pingzhi; Zeng, Xiangneng 3 2009 On a conjecture of Lemke and Kleitman. Zbl 1362.11024 Zeng, Xiangneng; Li, Yuanlin; Yuan, Pingzhi 3 2015 Number of zeros of diagonal polynomials over finite fields. Zbl 1003.11061 Ren, Debin; Sun, Qi; Yuan, Pingzhi 2 2001 Further results and some open problems on the primitive degree of nonnegative tensors. Zbl 1314.05122 Yuan, Pingzhi; He, Zilong; You, Lihua 2 2015 The \(k\)-exponents of primitive, nearly reducible matrices. Zbl 1174.05054 Hu, Yahui; Yuan, Pingzhi; Liu, Weijun 2 2007 On square terms and square classes in Lehmer sequences. Zbl 1124.11308 Luo, Jiagui; Yuan, Pingzhi 2 2005 Flag-transitive point-primitive symmetric \((v,k,\lambda)\) designs with bounded \(k\). Zbl 1456.05023 Zhang, Zhilin; Yuan, Pingzhi; Zhou, Shenglin 2 2020 Some classes of permutation polynomials of the form \(b(x^q +ax+\delta)^{\frac{i(q^2 -1)}{d}+1}+c(x^q +ax+\delta)^{\frac{j(q^2 -1)}{d}+1}+L(x)\) over \(\mathbb{F}_{q^2}\). Zbl 1497.11290 Wu, Danyao; Yuan, Pingzhi 2 2022 On the Diophantine equation \(X^2-(2^{2m}+1)Y^4=-2^{2m}\). Zbl 1275.11057 Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi 2 2009 On the Diophantine equation \(x^y+y^x=z^z\). Zbl 1299.11037 Zhang, Zhongfeng; Luo, Jiagui; Yuan, Pingzhi 2 2013 On the Diophantine equation \(ax^{y} + by^{z} + cz^{x} = 0\). Zbl 1271.11040 Zhang, Zhongfeng; Yuan, Pingzhi 2 2012 On some equations related to Ma’s conjecture. Zbl 1250.11035 Luo, Jiagui; Togbé, Alain; Yuan, Pingzhi 2 2011 On the solutions of a system of two Diophantine equations. Zbl 1339.11043 Luo, Jiagui; Yuan, Pingzhi 2 2014 Compositional inverses of AGW-PPs – dedicated to Professor Cunsheng Ding for his 60th birthday. Zbl 1526.11063 Yuan, Pingzhi 2 2022 On Jeśmanowicz conjecture concerning Pythagorean numbers. Zbl 1224.11049 Hu, Yongzhong; Yuan, Pingzhi 2 2010 Symmetric digraphs from powers modulo \(n\). Zbl 1242.05108 Deng, Guixin; Yuan, Pingzhi 2 2011 The exponential Diophantine equation \((3am^2-1)^x+(a(a-3)m^2+1)^y=(am)^z\). Zbl 1448.11071 Deng, Nai-Juan; Wu, Dan-Yao; Yuan, Ping-Zhi 2 2019 On the transcendence of some infinite sums. Zbl 1293.11082 Yuan, Pingzhi; Li, Juan 2 2009 On the Diophantine equation \(X^2-(a^2+4p^{2n})Y^4=-4p^{2n}\). Zbl 1313.11062 Yuan, Pingzhi; Zhang, Zhongfeng 2 2014 On the diophantine equation \(x^ 4-Dy^ 2=1\). Zbl 0857.11008 Sun, Qi; Yuan, Pingzhi 1 1996 A new class of Aurifeuillian factorizations of \(M^n\pm 1\). Zbl 0959.11002 Sun, Qi; Ren, Debin; Hong, Shaofang; Yuan, Pingzhi; Han, Qing 1 1999 An extension of the Kemperman structure theorem. Zbl 1201.11096 Shen, Xuesheng; Yuan, Pingzhi 1 2006 A note on the diophantine equation \(\frac{x^ m-1}{x-1} = y^ n\). Zbl 0868.11018 Yuan, Pingzhi 1 1996 Multiplicity of generalized Lucas sequences and the number of solutions of the related diophantine equations. Zbl 0987.11022 Yuan, Pingzhi 1 2000 Subsequence sums of zero-sum free sequences. II. Zbl 1340.11026 Yuan, Pingzhi 1 2014 On the diophantine equation \(ax^2+(3a+1)^m=(4a+1)^n\). Zbl 1212.11054 Yuan, Pingzhi; Hu, Yongzhong 1 2010 Some new results on permutation polynomials of the form \(b (x^q + ax + \delta)^s - ax\) over \(\mathbb{F}_{q^2}\). Zbl 1534.11035 Wu, Danyao; Yuan, Pingzhi 1 2024 On sequences without short zero-sum subsequences. Zbl 1536.11050 Zeng, Xiangneng; Yuan, Pingzhi 1 2023 Further results on permutation polynomials from trace functions. Zbl 1498.11234 Wu, Danyao; Yuan, Pingzhi 4 2022 Some classes of permutation polynomials of the form \(b(x^q +ax+\delta)^{\frac{i(q^2 -1)}{d}+1}+c(x^q +ax+\delta)^{\frac{j(q^2 -1)}{d}+1}+L(x)\) over \(\mathbb{F}_{q^2}\). Zbl 1497.11290 Wu, Danyao; Yuan, Pingzhi 2 2022 Compositional inverses of AGW-PPs – dedicated to Professor Cunsheng Ding for his 60th birthday. Zbl 1526.11063 Yuan, Pingzhi 2 2022 Flag-transitive point-primitive symmetric \((v,k,\lambda)\) designs with bounded \(k\). Zbl 1456.05023 Zhang, Zhilin; Yuan, Pingzhi; Zhou, Shenglin 2 2020 On the existence of perfect splitter sets. Zbl 1471.20036 Yuan, Pingzhi; Zhao, Kevin 1 2020 Diophantine equation \(((c + 1)m^2 + 1)^x + (cm^2 - 1)^y = (am)^z\). Zbl 1474.11095 Deng, Naijuan; Yuan, Pingzhi 1 2020 The exponential Diophantine equation \((3am^2-1)^x+(a(a-3)m^2+1)^y=(am)^z\). Zbl 1448.11071 Deng, Nai-Juan; Wu, Dan-Yao; Yuan, Ping-Zhi 2 2019 Solutions to a class of equations in integral matrices of order 2. Zbl 1449.15044 Yin, Qianqian; Liang, Xinran; Yuan, Pingzhi 1 2019 On a conjecture of differentially 8-uniform power functions. Zbl 1402.11149 Xiong, Maosheng; Yan, Haode; Yuan, Pingzhi 13 2018 Jeśmanowicz’ conjecture and related equations. Zbl 1410.11029 Yuan, Pingzhi; Han, Qing 5 2018 A note on Jeśmanowicz’ conjecture. Zbl 1424.11083 Han, Q.; Yuan, P. 4 2018 Number of solutions to \(ka^x+lb^y=c^z\). Zbl 1430.11046 Deng, Naijuan; Yuan, Pingzhi; Luo, Wenyu 1 2018 Permutation trinomials over \(\mathbb{F}_{2^m}\). Zbl 1431.11131 Wu, Danyao; Yuan, Pingzhi; Ding, Cunsheng; Ma, Yuzhen 28 2017 Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068 Komatsu, Takao; Yuan, Pingzhi 12 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 4 2017 Large classes of permutation polynomials over \(\mathbb {F}_{q^2}\). Zbl 1396.11139 Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi 14 2016 On \(\ast\)-clean group rings. II. Zbl 1355.16019 Huang, Hongdi; Li, Yuanlin; Yuan, Pingzhi 10 2016 Long unsplittable zero-sum sequences over a finite cyclic group. Zbl 1415.11038 Yuan, Pingzhi; Li, Yuanlin 6 2016 On the structure of long unsplittable minimal zero-sum sequences. Zbl 1402.11018 Zeng, Xiangneng; Yuan, Pingzhi; Li, Yuanlin 5 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 3 2016 On the Diophantine equation \(a^x+b^y=(a+2)^z\). Zbl 1389.11088 Miyazaki, T.; Togbé, A.; Yuan, P. 3 2016 Permutation trinomials over finite fields with even characteristic. Zbl 1352.11102 Ding, Cunsheng; Qu, Longjiang; Wang, Qiang; Yuan, Jin; Yuan, Pingzhi 69 2015 Permutation polynomials from piecewise functions. Zbl 1331.11108 Yuan, Pingzhi; Zheng, Yanbin 20 2015 On \(*\)-clean group rings. Zbl 1318.16024 Li, Yuanlin; Parmenter, M. M.; Yuan, Pingzhi 11 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 10 2015 On products of \(k\) atoms. II. Zbl 1381.20047 Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi 10 2015 Piecewise constructions of inverses of some permutation polynomials. Zbl 1355.11106 Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi 6 2015 On the exponent set of nonnegative primitive tensors. Zbl 1303.05113 He, Zilong; Yuan, Pingzhi; You, Lihua 3 2015 On a conjecture of Lemke and Kleitman. Zbl 1362.11024 Zeng, Xiangneng; Li, Yuanlin; Yuan, Pingzhi 3 2015 Further results and some open problems on the primitive degree of nonnegative tensors. Zbl 1314.05122 Yuan, Pingzhi; He, Zilong; You, Lihua 2 2015 Further results on permutation polynomials over finite fields. Zbl 1297.11148 Yuan, Pingzhi; Ding, Cunsheng 50 2014 Some remarks on \(P\), \(P_0\), \(B\) and \(B_0\) tensors. Zbl 1307.15033 Yuan, Pingzhi; You, Lihua 32 2014 Generalizations of classical results on Jeśmanowicz’ conjecture concerning Pythagorean triples. II. Zbl 1310.11040 Miyazaki, Takafumi; Yuan, Pingzhi; Wu, Danyao 12 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 12 2014 A conjecture on the primitive degree of tensors. Zbl 1288.15030 Yuan, Pingzhi; He, Zilong; You, Lihua 6 2014 On the structure of \(G(H,k)\). Zbl 1286.05056 Deng, Guixin; Yuan, Pingzhi 4 2014 On the similarity of tensors. Zbl 1294.15016 Yuan, Pingzhi; You, Lihua 4 2014 On the solutions of a system of two Diophantine equations. Zbl 1339.11043 Luo, Jiagui; Yuan, Pingzhi 2 2014 On the Diophantine equation \(X^2-(a^2+4p^{2n})Y^4=-4p^{2n}\). Zbl 1313.11062 Yuan, Pingzhi; Zhang, Zhongfeng 2 2014 Subsequence sums of zero-sum free sequences. II. Zbl 1340.11026 Yuan, Pingzhi 1 2014 On the sum of reciprocal generalized Fibonacci numbers. Zbl 1471.11084 Yuan, Pingzhi; He, Zilong; Zhou, Junyi 1 2014 An upper bound for the number of odd multiperfect numbers. Zbl 1307.11009 Yuan, Pingzhi 1 2014 Addition to ‘An upper bound for the number of odd multiperfect numbers’. Zbl 1307.11010 Yuan, Pingzhi; Zhang, Zhongfeng 1 2014 The monotone catenary degree of Krull monoids. Zbl 1278.20079 Geroldinger, Alfred; Yuan, Pingzhi 7 2013 On the Diophantine equation \(x^y+y^x=z^z\). Zbl 1299.11037 Zhang, Zhongfeng; Luo, Jiagui; Yuan, Pingzhi 2 2013 On the Diophantine equation \(x^{2}-kxy+y^{2}+lx=0\). Zbl 1283.11060 Feng, Li; Yuan, Pingzhi; Hu, Yongzhong 1 2013 The set of distances in Krull monoids. Zbl 1255.13002 Geroldinger, Alfred; Yuan, Pingzhi 22 2012 On the symmetric digraphs from powers modulo \(n\). Zbl 1238.05104 Deng, Guixin; Yuan, Pingzhi 6 2012 On a combinatorial conjecture of Tu and Deng. Zbl 1283.94062 Deng, Guixin; Yuan, Pingzhi 4 2012 On the Diophantine equation \((a^n - 1)(b^n -1) = x^2\). Zbl 1263.11045 Yuan, Pingzhi; Zhang, Zhongfeng 4 2012 On the Diophantine equation \(ax^{y} + by^{z} + cz^{x} = 0\). Zbl 1271.11040 Zhang, Zhongfeng; Yuan, Pingzhi 2 2012 Coefficients of cyclotomic polynomials. Zbl 1274.11075 Yuan, Pingzhi 1 2012 Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100 Yuan, Pingzhi; Ding, Cunsheng 60 2011 Weighted Davenport’s constant and the weighted EGZ theorem. Zbl 1245.11032 Zeng, Xiangneng; Yuan, Pingzhi 9 2011 On the Diophantine equation \(x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}\). Zbl 1217.11031 Yuan, Pingzhi; Hu, Yongzhong 7 2011 A note on linear permutation polynomials. Zbl 1263.11109 Yuan, Pingzhi; Zeng, Xiangneng 6 2011 Indexes of long zero-sum sequences over cyclic groups. Zbl 1262.11008 Zeng, Xiangneng; Yuan, Pingzhi 6 2011 Normal sequences over finite abelian groups. Zbl 1243.11014 Guan, Huanhuan; Yuan, Pingzhi; Zeng, Xiangneng 4 2011 Two conjectures on an addition theorem. Zbl 1290.11034 Zeng, Xiangneng; Yuan, Pingzhi 3 2011 On the Diophantine equation \(\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2\). Zbl 1265.11064 Luo, Jiagui; Yuan, Pingzhi 3 2011 Isomorphic digraphs from powers modulo \(p\). Zbl 1249.05162 Deng, Guixin; Yuan, Pingzhi 3 2011 On some equations related to Ma’s conjecture. Zbl 1250.11035 Luo, Jiagui; Togbé, Alain; Yuan, Pingzhi 2 2011 Symmetric digraphs from powers modulo \(n\). Zbl 1242.05108 Deng, Guixin; Yuan, Pingzhi 2 2011 Davenport constant with weights. Zbl 1197.11028 Yuan, Pingzhi; Zeng, Xiangneng 20 2010 Minimal zero sum sequences of length four over finite cyclic groups. Zbl 1204.11021 Li, Yuanlin; Plyley, Chris; Yuan, Pingzhi; Zeng, Xiangneng 15 2010 Indexes of unsplittable minimal zero-sum sequences of length \(I(C_n)-1\). Zbl 1205.11029 Xia, Xingwu; Yuan, Pingzhi 14 2010 On zero-sum free subsets of length 7. Zbl 1231.05295 Yuan, Pingzhi; Zeng, Xiangneng 10 2010 Description of the invariant F(5) of zero-sum-free sequence. Zbl 1240.11045 Guan, Huanhuan; Zeng, Xiangneng; Yuan, Pingzhi 9 2010 More explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\). Zbl 1188.11064 Yuan, Pingzhi 6 2010 Squares in \(\prod^n_{k=1}(ak^2+bk+c)\). Zbl 1224.11055 Zhang, Zhongfeng; Yuan, Pingzhi 4 2010 On Jeśmanowicz conjecture concerning Pythagorean numbers. Zbl 1224.11049 Hu, Yongzhong; Yuan, Pingzhi 2 2010 On the diophantine equation \(ax^2+(3a+1)^m=(4a+1)^n\). Zbl 1212.11054 Yuan, Pingzhi; Hu, Yongzhong 1 2010 On the Diophantine equations \((a-1)x^2+(91a+9)=4a^n\). Zbl 1224.11058 Li, Zhigang; Yuan, Pingzhi 1 2010 Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\). Zbl 1215.11113 Ding, Cunsheng; Xiang, Qing; Yuan, Jin; Yuan, Pingzhi 22 2009 Subsequence sums of zero-sum-free sequences. Zbl 1248.11021 Yuan, Pingzhi 8 2009 Subsequence sums of a zero-sumfree sequence. Zbl 1170.20033 Yuan, Pingzhi 8 2009 Squares in Lehmer sequences and the Diophantine equation \(Ax^4-By^2=2\). Zbl 1220.11045 Yuan, Pingzhi; Li, Yuan 6 2009 A new result on Davenport constant. Zbl 1220.11014 Yuan, Pingzhi; Zeng, Xiangneng 3 2009 On the Diophantine equation \(X^2-(2^{2m}+1)Y^4=-2^{2m}\). Zbl 1275.11057 Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi 2 2009 On the transcendence of some infinite sums. Zbl 1293.11082 Yuan, Pingzhi; Li, Juan 2 2009 Congruence subgroups of Hecke groups. Zbl 1210.11050 Chen, Bo; Yuan, Pingzhi 1 2009 On sums of consecutive integral roots. Zbl 1239.11028 Saltzman, Peter W.; Yuan, Pingzhi 1 2008 On the index of minimal zero-sum sequences over finite cyclic groups. Zbl 1128.11011 Yuan, Pingzhi 37 2007 Square-classes in Lehmer sequences having odd parameters and their applications. Zbl 1118.11008 Luo, Jiagui; Yuan, Pingzhi 3 2007 The \(k\)-exponents of primitive, nearly reducible matrices. Zbl 1174.05054 Hu, Yahui; Yuan, Pingzhi; Liu, Weijun 2 2007 On some special forms of simultaneous Pell equations. Zbl 1158.11014 Li, Zhigang; Xia, Jianye; Yuan, Pingzhi 1 2007 An extension of the Kemperman structure theorem. Zbl 1201.11096 Shen, Xuesheng; Yuan, Pingzhi 1 2006 Square-classes in Lucas sequences. Zbl 1482.11025 Luo, Jia Gui; Yuan, Ping Zhi 1 2006 On the Diophantine equation \(ax^2+by^2=ck^n\). Zbl 1088.11024 Yuan, Pingzhi 10 2005 On the Diophantine equation \(\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}\). Zbl 1063.11009 Yuan, Pingzhi 5 2005 On the Diophantine equation \(x^2+D^m=p^n\). Zbl 1076.11021 Yuan, Pingzhi; Hu, Yongzhong 3 2005 On square terms and square classes in Lehmer sequences. Zbl 1124.11308 Luo, Jiagui; Yuan, Pingzhi 2 2005 On the exponential diophantine equation \(a^x+b^y=c^z\). Zbl 1124.11307 Hu, Yongzhong; Yuan, Pingzhi 1 2005 On the Diophantine equation \(Dx^2+1= ca^n\). Zbl 1134.11321 Yuan, Pingzhi 1 2005 On the number of solutions of \(x^2-4m(m+1)y^2=y^2-bz^2=1\). Zbl 1050.11031 Yuan, Pingzhi 12 2004 A conjecture on Euler numbers. Zbl 1080.11018 Yuan, Pingzhi 6 2004 Simultaneous Pell equations. Zbl 1065.11013 Yuan, Pingzhi 5 2004 Integers not of the form \(c(2^a+2^b)+p^{\alpha}\). Zbl 1096.11007 Yuan, Pingzhi 4 2004 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 590 Authors 46 Yuan, Pingzhi 23 Geroldinger, Alfred 23 Zeng, Xiangyong 18 Li, Yuanlin 17 Peng, Jiangtao 14 Wang, Qiang (Steven) 14 Zhong, Qinghai 13 Cao, Xiwang 12 Helleseth, Tor 12 Li, Nian 12 Tu, Ziran 12 Zha, Zhengbang 11 Hu, Lei 11 Komatsu, Takao 11 Le, Maohua 11 Qu, Longjiang 10 Bartoli, Daniele 10 Gao, Weidong 10 Li, Kangquan 10 Schmid, Wolfgang Alexander 9 Togbé, Alain 9 Zeng, Xiangneng 8 Grynkiewicz, David J. 8 Hou, Xiang-Dong 7 Adhikari, Sukumar Das 7 Fujita, Yasutsugu 7 Li, Chunlei 7 Miyazaki, Takafumi 7 Yan, Haode 7 Zheng, Lijing 6 Deng, Guixin 6 Hajdu, Lajos 6 Hui, Wanzhen 6 Qi, Liqun 6 Terai, Nobuhiro 6 Zheng, Yanbin 5 Cipu, Mihai 5 Ding, Cunsheng 5 Fan, Yushuang 5 Huang, Zheng-Hai 5 Kan, Haibin 5 Liu, Chao 5 Luca, Florian 5 Luo, Jiagui 5 Paul, Shameek 5 Peng, Jie 5 Wang, Guoqing 5 Wang, Ligong 5 Xu, Guangkui 5 You, Lihua 5 Zhang, Wenpeng 5 Zheng, Dabin 4 Baoulina, Ioulia N. 4 Fernando, Neranga 4 Gupta, Rohit 4 Han, Dongchun 4 He, Bo 4 Huang, Meiling 4 Li, Yaotang 4 Liu, Guodong 4 Mesnager, Sihem 4 Mondal, Santanu 4 Ordaz, Oscar 4 Paul, Krishnendu 4 Philipp, Andreas 4 Sharma, Rajendra Kumar 4 Song, Yisheng 4 Soydan, Gokhan 4 Spiegelhofer, Lukas 4 Tang, Xiaohu 4 Tijdeman, Robert 4 Wang, Libo 4 Wang, Yanping 4 Wu, Baofeng 4 Wu, Danyao 4 Zhang, Zhongfeng 3 Bennett, Michael A. 3 Chakraborty, Kalyan 3 Chapman, Scott Thomas 3 Chen, Haibin 3 Chen, Ruikai 3 Feng, Xiutao 3 Fu, Ruiqin 3 Ge, Fan 3 Hančl, Jaroslav 3 Hu, Yongzhong 3 Karaatli, Olcay 3 Keskin, Refik 3 Kihel, Omar 3 Li, Chaoqian 3 Li, Lisha 3 Li, Xueliang 3 Li, Yanjun 3 Li, Zhen 3 Liu, Qian 3 Liu, Xianping 3 Mavecha, Sukrawan 3 O’Neill, Christopher 3 Park, Poo-Sung 3 Pei, Dingyi ...and 490 more Authors all top 5 Cited in 138 Serials 101 Finite Fields and their Applications 23 Journal of Number Theory 21 Cryptography and Communications 20 International Journal of Number Theory 17 Discrete Mathematics 15 Designs, Codes and Cryptography 15 Integers 15 Journal of Algebra and its Applications 10 Periodica Mathematica Hungarica 9 Journal of Combinatorial Theory. 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The Electronic Journal of Linear Algebra 2 Electronic Research Archive 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archivum Mathematicum 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series B 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Publications de l’Institut Mathématique. 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Series A 1 International Journal of Foundations of Computer Science 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Expositiones Mathematicae 1 SUT Journal of Mathematics ...and 38 more Serials all top 5 Cited in 30 Fields 462 Number theory (11-XX) 86 Combinatorics (05-XX) 79 Group theory and generalizations (20-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 32 Commutative algebra (13-XX) 32 Information and communication theory, circuits (94-XX) 23 Field theory and polynomials (12-XX) 20 Associative rings and algebras (16-XX) 14 Numerical analysis (65-XX) 10 Operations research, mathematical programming (90-XX) 7 Special functions (33-XX) 6 Algebraic geometry (14-XX) 6 Operator theory (47-XX) 4 Real functions (26-XX) 4 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year