Edit Profile (opens in new tab) Yuan, Pingzhi Compute Distance To: Compute Author ID: yuan.pingzhi Published as: Yuan, Pingzhi; Yuan, Ping Zhi; Yuan, P.; Yuan, Ping-Zhi External Links: ORCID · ResearchGate · dblp Documents Indexed: 166 Publications since 1988 Co-Authors: 76 Co-Authors with 127 Joint Publications 1,710 Co-Co-Authors all top 5 Co-Authors 36 single-authored 13 Luo, Jiagui 13 Zeng, Xiangneng 11 Zhang, Zhongfeng 8 Sun, Qi 8 You, Lihua 7 Ding, Cunsheng 7 Hu, Yongzhong 7 Li, Yuanlin 7 Wu, Danyao 5 Deng, Guixin 4 Guan, Huanhuan 4 Han, Qing 4 He, Zilong 4 Li, Zhigang 4 Togbé, Alain 3 Deng, Naijuan 3 Geroldinger, Alfred 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 Chiu, Sunben 1 Fang, Jinhui 1 Feng, Li 1 Gao, Weidong 1 Grynkiewicz, David J. 1 He, Bo 1 He, Yuqing 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 all top 5 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 Advances in Mathematics 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 Applicable Algebra in Engineering, Communication and Computing 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 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 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 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 all top 5 Fields 149 Number theory (11-XX) 19 Combinatorics (05-XX) 18 Group theory and generalizations (20-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 613 times in 402 Documents Cited by ▼ Year ▼ Permutation trinomials over finite fields with even characteristic. Zbl 1352.11102Ding, Cunsheng; Qu, Longjiang; Wang, Qiang; Yuan, Jin; Yuan, Pingzhi 49 2015 Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100Yuan, Pingzhi; Ding, Cunsheng 49 2011 Further results on permutation polynomials over finite fields. Zbl 1297.11148Yuan, Pingzhi; Ding, Cunsheng 40 2014 On the index of minimal zero-sum sequences over finite cyclic groups. Zbl 1128.11011Yuan, Pingzhi 31 2007 Some remarks on \(P\), \(P_0\), \(B\) and \(B_0\) tensors. Zbl 1307.15033Yuan, Pingzhi; You, Lihua 25 2014 The set of distances in Krull monoids. Zbl 1255.13002Geroldinger, Alfred; Yuan, Pingzhi 18 2012 Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\). Zbl 1215.11113Ding, Cunsheng; Xiang, Qing; Yuan, Jin; Yuan, Pingzhi 16 2009 Permutation polynomials from piecewise functions. Zbl 1331.11108Yuan, Pingzhi; Zheng, Yanbin 15 2015 Minimal zero sum sequences of length four over finite cyclic groups. Zbl 1204.11021Li, Yuanlin; Plyley, Chris; Yuan, Pingzhi; Zeng, Xiangneng 15 2010 Permutation trinomials over \(\mathbb{F}_{2^m}\). Zbl 1431.11131Wu, Danyao; Yuan, Pingzhi; Ding, Cunsheng; Ma, Yuzhen 15 2017 Davenport constant with weights. Zbl 1197.11028Yuan, Pingzhi; Zeng, Xiangneng 13 2010 Indexes of unsplittable minimal zero-sum sequences of length \(I(C_n)-1\). Zbl 1205.11029Xia, Xingwu; Yuan, Pingzhi 12 2010 On the number of solutions of diagonal equations over a finite field. Zbl 0848.11013Sun, Qi; Yuan, Pingzhi 11 1996 Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068Komatsu, Takao; Yuan, Pingzhi 11 2017 On the rationality of Cantor and Ahmes series. Zbl 1018.11037Tijdeman, R.; Yuan, Pingzhi 10 2002 On \(*\)-clean group rings. Zbl 1318.16024Li, Yuanlin; Parmenter, M. M.; Yuan, Pingzhi 9 2015 On the number of solutions of \(x^2-4m(m+1)y^2=y^2-bz^2=1\). Zbl 1050.11031Yuan, Pingzhi 9 2004 Large classes of permutation polynomials over \(\mathbb {F}_{q^2}\). Zbl 1396.11139Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi 9 2016 Generalizations of classical results on Jeśmanowicz’ conjecture concerning Pythagorean triples. II. Zbl 1310.11040Miyazaki, Takafumi; Yuan, Pingzhi; Wu, Danyao 9 2014 On \(\ast\)-clean group rings. II. Zbl 1355.16019Huang, Hongdi; Li, Yuanlin; Yuan, Pingzhi 8 2016 On zero-sum free subsets of length 7. Zbl 1231.05295Yuan, Pingzhi; Zeng, Xiangneng 8 2010 On the number of solutions of simultaneous Pell equations. Zbl 1003.11007Yuan, Pingzhi 7 2002 Weighted Davenport’s constant and the weighted EGZ theorem. Zbl 1245.11032Zeng, Xiangneng; Yuan, Pingzhi 7 2011 Description of the invariant F(5) of zero-sum-free sequence. Zbl 1240.11045Guan, Huanhuan; Zeng, Xiangneng; Yuan, Pingzhi 7 2010 On products of \(k\) atoms. II. Zbl 1381.20047Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi 6 2015 Indexes of long zero-sum sequences over cyclic groups. Zbl 1262.11008Zeng, Xiangneng; Yuan, Pingzhi 6 2011 On the symmetric digraphs from powers modulo \(n\). Zbl 1238.05104Deng, Guixin; Yuan, Pingzhi 6 2012 Subsequence sums of a zero-sumfree sequence. Zbl 1170.20033Yuan, Pingzhi 6 2009 The monotone catenary degree of Krull monoids. Zbl 1278.20079Geroldinger, Alfred; Yuan, Pingzhi 6 2013 A conjecture on the primitive degree of tensors. Zbl 1288.15030Yuan, Pingzhi; He, Zilong; You, Lihua 6 2014 Piecewise constructions of inverses of some permutation polynomials. Zbl 1355.11106Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi 5 2015 On the structure of long zero-sum free sequences and \(n\)-zero-sum free sequences over finite cyclic groups. Zbl 1400.11058Gao, Weidong; Li, Yuanlin; Yuan, Pingzhi; Zhuang, Jujuan 5 2015 Long unsplittable zero-sum sequences over a finite cyclic group. Zbl 1415.11038Yuan, Pingzhi; Li, Yuanlin 5 2016 Integral trees of diameter 4. Zbl 0904.05024Yuan, Pingzhi 5 1998 Rational and algebraic approximations of algebraic numbers and their application. Zbl 0908.11027Yuan, Pingzhi 5 1997 On the diophantine equation \(x^2+b^y=c^z\). Zbl 0895.11016Yuan, Pingzhi; Wang, Jiabao 5 1998 Subsequence sums of zero-sum-free sequences. Zbl 1248.11021Yuan, Pingzhi 5 2009 On algebraic approximations of certain algebraic numbers. Zbl 1095.11037Yuan, Pingzhi 5 2003 A conjecture on Euler numbers. Zbl 1080.11018Yuan, Pingzhi 5 2004 On the Diophantine equation \(ax^2+by^2=ck^n\). Zbl 1088.11024Yuan, Pingzhi 5 2005 Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix and its applications. Zbl 1356.05084You, Lihua; Shu, Yujie; Yuan, Pingzhi 4 2017 Squares in Lehmer sequences and the Diophantine equation \(Ax^4-By^2=2\). Zbl 1220.11045Yuan, Pingzhi; Li, Yuan 4 2009 Simultaneous Pell equations. Zbl 1065.11013Yuan, Pingzhi 4 2004 Jeśmanowicz’ conjecture and related equations. Zbl 1410.11029Yuan, Pingzhi; Han, Qing 4 2018 A note on linear permutation polynomials. Zbl 1263.11109Yuan, Pingzhi; Zeng, Xiangneng 4 2011 On the Diophantine equation \(x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}\). Zbl 1217.11031Yuan, Pingzhi; Hu, Yongzhong 4 2011 On the Diophantine equation \((a^n - 1)(b^n -1) = x^2\). Zbl 1263.11045Yuan, Pingzhi; Zhang, Zhongfeng 4 2012 On a conjecture of differentially 8-uniform power functions. Zbl 1402.11149Xiong, Maosheng; Yan, Haode; Yuan, Pingzhi 4 2018 On the diophantine equations \((ax^ n-1)/(ax-1)=y^ 2\) and \((ax^ n+1)/(ax+1)=y^ 2\). Zbl 0712.11023Sun, Qi; Yuan, Pingzhi 3 1989 On the exponent set of nonnegative primitive tensors. Zbl 1303.05113He, Zilong; Yuan, Pingzhi; You, Lihua 3 2015 Isomorphic digraphs from powers modulo \(p\). Zbl 1249.05162Deng, Guixin; Yuan, Pingzhi 3 2011 Square-classes in Lehmer sequences having odd parameters and their applications. Zbl 1118.11008Luo, Jiagui; Yuan, Pingzhi 3 2007 A new result on Davenport constant. Zbl 1220.11014Yuan, Pingzhi; Zeng, Xiangneng 3 2009 On solutions of higher degree Diophantine equation. Zbl 0987.11023Yuan, Pingzhi; Luo, Jiagui 3 2001 On the Diophantine equation \(\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}\). Zbl 1063.11009Yuan, Pingzhi 3 2005 A note on Jeśmanowicz’ conjecture. Zbl 1424.11083Han, Q.; Yuan, P. 3 2018 On the structure of long unsplittable minimal zero-sum sequences. Zbl 1402.11018Zeng, Xiangneng; Yuan, Pingzhi; Li, Yuanlin 3 2016 On multiplicative functions with \(f(p+q+n_{0})=f(p)+f(q)+f(n_{0})\). Zbl 1360.11012Chen, Yong-Gao; Fang, Jin-Hui; Yuan, Pingzhi; Zheng, Yueping 3 2016 On the structure of \(G(H,k)\). Zbl 1286.05056Deng, Guixin; Yuan, Pingzhi 3 2014 Further results and some open problems on the primitive degree of nonnegative tensors. Zbl 1314.05122Yuan, Pingzhi; He, Zilong; You, Lihua 2 2015 Permutation polynomials of the form \(L(x) + S_{2k}^a + S_{2k}^b\) over \(\mathbb{F}_{q^{3k}}\). Zbl 1297.11149Yuan, Pingzhi; Ding, Cunsheng 2 2014 On some equations related to Ma’s conjecture. Zbl 1250.11035Luo, Jiagui; Togbé, Alain; Yuan, Pingzhi 2 2011 On the Diophantine equation \(\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2\). Zbl 1265.11064Luo, Jiagui; Yuan, Pingzhi 2 2011 On the Diophantine equation \(ax^{y} + by^{z} + cz^{x} = 0\). Zbl 1271.11040Zhang, Zhongfeng; Yuan, Pingzhi 2 2012 On the transcendence of some infinite sums. Zbl 1293.11082Yuan, Pingzhi; Li, Juan 2 2009 On the Diophantine equation \(X^2-(2^{2m}+1)Y^4=-2^{2m}\). Zbl 1275.11057Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi 2 2009 Integers not of the form \(c(2^a+2^b)+p^{\alpha}\). Zbl 1096.11007Yuan, Pingzhi 2 2004 The \(k\)-exponents of primitive, nearly reducible matrices. Zbl 1174.05054Hu, Yahui; Yuan, Pingzhi; Liu, Weijun 2 2007 Number of zeros of diagonal polynomials over finite fields. Zbl 1003.11061Ren, Debin; Sun, Qi; Yuan, Pingzhi 2 2001 On the Diophantine equation \(x^2+D^m=p^n\). Zbl 1076.11021Yuan, Pingzhi; Hu, Yongzhong 2 2005 \(D\)-invariants and the solvability of \(kx^ 2 - ly^ 2 = 1,2\). Zbl 0871.11020Yuan, Pingzhi 2 1996 On the diophantine equation \(x^4-D\cdot y^2=1\). Zbl 0908.11014Sun, Qi; Yuan, Pingzhi 2 1997 Squares in \(\prod^n_{k=1}(ak^2+bk+c)\). Zbl 1224.11055Zhang, Zhongfeng; Yuan, Pingzhi 2 2010 On Jeśmanowicz conjecture concerning Pythagorean numbers. Zbl 1224.11049Hu, Yongzhong; Yuan, Pingzhi 2 2010 Symmetric digraphs from powers modulo \(n\). Zbl 1242.05108Deng, Guixin; Yuan, Pingzhi 2 2011 On the similarity of tensors. Zbl 1294.15016Yuan, Pingzhi; You, Lihua 2 2014 Normal sequences over finite abelian groups. Zbl 1243.11014Guan, Huanhuan; Yuan, Pingzhi; Zeng, Xiangneng 2 2011 Two conjectures on an addition theorem. Zbl 1290.11034Zeng, Xiangneng; Yuan, Pingzhi 2 2011 Subsequence sums of zero-sum free sequences. II. Zbl 1340.11026Yuan, Pingzhi 1 2014 On the solutions of a system of two Diophantine equations. Zbl 1339.11043Luo, Jiagui; Yuan, Pingzhi 1 2014 On the Diophantine equation \(X^2-(a^2+4p^{2n})Y^4=-4p^{2n}\). Zbl 1313.11062Yuan, Pingzhi; Zhang, Zhongfeng 1 2014 On some special forms of simultaneous Pell equations. Zbl 1158.11014Li, Zhigang; Xia, Jianye; Yuan, Pingzhi 1 2007 On the Diophantine equation \(Dx^2+1= ca^n\). Zbl 1134.11321Yuan, Pingzhi 1 2005 On the exponential diophantine equation \(a^x+b^y=c^z\). Zbl 1124.11307Hu, Yongzhong; Yuan, Pingzhi 1 2005 On the diophantine equation \(x^ 4-Dy^ 2=1\). Zbl 0857.11008Sun, Qi; Yuan, Pingzhi 1 1996 On a special diophantine equation \(a{x \choose n}=by^ r+c\). Zbl 0821.11023Yuan, Pingzhi 1 1994 On the diophantine equation \(ax^2+(3a+1)^m=(4a+1)^n\). Zbl 1212.11054Yuan, Pingzhi; Hu, Yongzhong 1 2010 Congruence subgroups of Hecke groups. Zbl 1210.11050Chen, Bo; Yuan, Pingzhi 1 2009 On sums of consecutive integral roots. Zbl 1239.11028Saltzman, Peter W.; Yuan, Pingzhi 1 2008 A new class of Aurifeuillian factorizations of \(M^n\pm 1\). Zbl 0959.11002Sun, Qi; Ren, Debin; Hong, Shaofang; Yuan, Pingzhi; Han, Qing 1 1999 The divisibility of the class numbers of real quadratic fields. Zbl 1005.11058Yuan, Pingzhi 1 1998 A note on the divisibility of the generalized Lucas sequences. Zbl 1039.11005Yuan, Pingzhi 1 2002 Multiplicity of generalized Lucas sequences and the number of solutions of the related diophantine equations. Zbl 0987.11022Yuan, Pingzhi 1 2000 On the sum of reciprocal generalized Fibonacci numbers. Zbl 1471.11084Yuan, Pingzhi; He, Zilong; Zhou, Junyi 1 2014 On a conjecture of Lemke and Kleitman. Zbl 1362.11024Zeng, Xiangneng; Li, Yuanlin; Yuan, Pingzhi 1 2015 On the Diophantine equation \(a^x+b^y=(a+2)^z\). Zbl 1389.11088Miyazaki, T.; Togbé, A.; Yuan, P. 1 2016 On the Diophantine equations \((a-1)x^2+(91a+9)=4a^n\). Zbl 1224.11058Li, Zhigang; Yuan, Pingzhi 1 2010 On a combinatorial conjecture of Tu and Deng. Zbl 1283.94062Deng, Guixin; Yuan, Pingzhi 1 2012 On the Diophantine equation \(x^y+y^x=z^z\). Zbl 1299.11037Zhang, Zhongfeng; Luo, Jiagui; Yuan, Pingzhi 1 2013 Jeśmanowicz’ conjecture and related equations. Zbl 1410.11029Yuan, Pingzhi; Han, Qing 4 2018 On a conjecture of differentially 8-uniform power functions. Zbl 1402.11149Xiong, Maosheng; Yan, Haode; Yuan, Pingzhi 4 2018 A note on Jeśmanowicz’ conjecture. Zbl 1424.11083Han, Q.; Yuan, P. 3 2018 Permutation trinomials over \(\mathbb{F}_{2^m}\). Zbl 1431.11131Wu, Danyao; Yuan, Pingzhi; Ding, Cunsheng; Ma, Yuzhen 15 2017 Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068Komatsu, Takao; Yuan, Pingzhi 11 2017 Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix and its applications. Zbl 1356.05084You, Lihua; Shu, Yujie; Yuan, Pingzhi 4 2017 Large classes of permutation polynomials over \(\mathbb {F}_{q^2}\). Zbl 1396.11139Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi 9 2016 On \(\ast\)-clean group rings. II. Zbl 1355.16019Huang, Hongdi; Li, Yuanlin; Yuan, Pingzhi 8 2016 Long unsplittable zero-sum sequences over a finite cyclic group. Zbl 1415.11038Yuan, Pingzhi; Li, Yuanlin 5 2016 On the structure of long unsplittable minimal zero-sum sequences. Zbl 1402.11018Zeng, Xiangneng; Yuan, Pingzhi; Li, Yuanlin 3 2016 On multiplicative functions with \(f(p+q+n_{0})=f(p)+f(q)+f(n_{0})\). Zbl 1360.11012Chen, Yong-Gao; Fang, Jin-Hui; Yuan, Pingzhi; Zheng, Yueping 3 2016 On the Diophantine equation \(a^x+b^y=(a+2)^z\). Zbl 1389.11088Miyazaki, T.; Togbé, A.; Yuan, P. 1 2016 Permutation trinomials over finite fields with even characteristic. Zbl 1352.11102Ding, Cunsheng; Qu, Longjiang; Wang, Qiang; Yuan, Jin; Yuan, Pingzhi 49 2015 Permutation polynomials from piecewise functions. Zbl 1331.11108Yuan, Pingzhi; Zheng, Yanbin 15 2015 On \(*\)-clean group rings. Zbl 1318.16024Li, Yuanlin; Parmenter, M. M.; Yuan, Pingzhi 9 2015 On products of \(k\) atoms. II. Zbl 1381.20047Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi 6 2015 Piecewise constructions of inverses of some permutation polynomials. Zbl 1355.11106Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi 5 2015 On the structure of long zero-sum free sequences and \(n\)-zero-sum free sequences over finite cyclic groups. Zbl 1400.11058Gao, Weidong; Li, Yuanlin; Yuan, Pingzhi; Zhuang, Jujuan 5 2015 On the exponent set of nonnegative primitive tensors. Zbl 1303.05113He, Zilong; Yuan, Pingzhi; You, Lihua 3 2015 Further results and some open problems on the primitive degree of nonnegative tensors. Zbl 1314.05122Yuan, Pingzhi; He, Zilong; You, Lihua 2 2015 On a conjecture of Lemke and Kleitman. Zbl 1362.11024Zeng, Xiangneng; Li, Yuanlin; Yuan, Pingzhi 1 2015 Further results on permutation polynomials over finite fields. Zbl 1297.11148Yuan, Pingzhi; Ding, Cunsheng 40 2014 Some remarks on \(P\), \(P_0\), \(B\) and \(B_0\) tensors. Zbl 1307.15033Yuan, Pingzhi; You, Lihua 25 2014 Generalizations of classical results on Jeśmanowicz’ conjecture concerning Pythagorean triples. II. Zbl 1310.11040Miyazaki, Takafumi; Yuan, Pingzhi; Wu, Danyao 9 2014 A conjecture on the primitive degree of tensors. Zbl 1288.15030Yuan, Pingzhi; He, Zilong; You, Lihua 6 2014 On the structure of \(G(H,k)\). Zbl 1286.05056Deng, Guixin; Yuan, Pingzhi 3 2014 Permutation polynomials of the form \(L(x) + S_{2k}^a + S_{2k}^b\) over \(\mathbb{F}_{q^{3k}}\). Zbl 1297.11149Yuan, Pingzhi; Ding, Cunsheng 2 2014 On the similarity of tensors. Zbl 1294.15016Yuan, Pingzhi; You, Lihua 2 2014 Subsequence sums of zero-sum free sequences. II. Zbl 1340.11026Yuan, Pingzhi 1 2014 On the solutions of a system of two Diophantine equations. Zbl 1339.11043Luo, Jiagui; Yuan, Pingzhi 1 2014 On the Diophantine equation \(X^2-(a^2+4p^{2n})Y^4=-4p^{2n}\). Zbl 1313.11062Yuan, Pingzhi; Zhang, Zhongfeng 1 2014 On the sum of reciprocal generalized Fibonacci numbers. Zbl 1471.11084Yuan, Pingzhi; He, Zilong; Zhou, Junyi 1 2014 The monotone catenary degree of Krull monoids. Zbl 1278.20079Geroldinger, Alfred; Yuan, Pingzhi 6 2013 On the Diophantine equation \(x^y+y^x=z^z\). Zbl 1299.11037Zhang, Zhongfeng; Luo, Jiagui; Yuan, Pingzhi 1 2013 The set of distances in Krull monoids. Zbl 1255.13002Geroldinger, Alfred; Yuan, Pingzhi 18 2012 On the symmetric digraphs from powers modulo \(n\). Zbl 1238.05104Deng, Guixin; Yuan, Pingzhi 6 2012 On the Diophantine equation \((a^n - 1)(b^n -1) = x^2\). Zbl 1263.11045Yuan, Pingzhi; Zhang, Zhongfeng 4 2012 On the Diophantine equation \(ax^{y} + by^{z} + cz^{x} = 0\). Zbl 1271.11040Zhang, Zhongfeng; Yuan, Pingzhi 2 2012 On a combinatorial conjecture of Tu and Deng. Zbl 1283.94062Deng, Guixin; Yuan, Pingzhi 1 2012 Permutation polynomials over finite fields from a powerful lemma. Zbl 1258.11100Yuan, Pingzhi; Ding, Cunsheng 49 2011 Weighted Davenport’s constant and the weighted EGZ theorem. Zbl 1245.11032Zeng, Xiangneng; Yuan, Pingzhi 7 2011 Indexes of long zero-sum sequences over cyclic groups. Zbl 1262.11008Zeng, Xiangneng; Yuan, Pingzhi 6 2011 A note on linear permutation polynomials. Zbl 1263.11109Yuan, Pingzhi; Zeng, Xiangneng 4 2011 On the Diophantine equation \(x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}\). Zbl 1217.11031Yuan, Pingzhi; Hu, Yongzhong 4 2011 Isomorphic digraphs from powers modulo \(p\). Zbl 1249.05162Deng, Guixin; Yuan, Pingzhi 3 2011 On some equations related to Ma’s conjecture. Zbl 1250.11035Luo, Jiagui; Togbé, Alain; Yuan, Pingzhi 2 2011 On the Diophantine equation \(\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2\). Zbl 1265.11064Luo, Jiagui; Yuan, Pingzhi 2 2011 Symmetric digraphs from powers modulo \(n\). Zbl 1242.05108Deng, Guixin; Yuan, Pingzhi 2 2011 Normal sequences over finite abelian groups. Zbl 1243.11014Guan, Huanhuan; Yuan, Pingzhi; Zeng, Xiangneng 2 2011 Two conjectures on an addition theorem. Zbl 1290.11034Zeng, Xiangneng; Yuan, Pingzhi 2 2011 Minimal zero sum sequences of length four over finite cyclic groups. Zbl 1204.11021Li, Yuanlin; Plyley, Chris; Yuan, Pingzhi; Zeng, Xiangneng 15 2010 Davenport constant with weights. Zbl 1197.11028Yuan, Pingzhi; Zeng, Xiangneng 13 2010 Indexes of unsplittable minimal zero-sum sequences of length \(I(C_n)-1\). Zbl 1205.11029Xia, Xingwu; Yuan, Pingzhi 12 2010 On zero-sum free subsets of length 7. Zbl 1231.05295Yuan, Pingzhi; Zeng, Xiangneng 8 2010 Description of the invariant F(5) of zero-sum-free sequence. Zbl 1240.11045Guan, Huanhuan; Zeng, Xiangneng; Yuan, Pingzhi 7 2010 Squares in \(\prod^n_{k=1}(ak^2+bk+c)\). Zbl 1224.11055Zhang, Zhongfeng; Yuan, Pingzhi 2 2010 On Jeśmanowicz conjecture concerning Pythagorean numbers. Zbl 1224.11049Hu, Yongzhong; Yuan, Pingzhi 2 2010 On the diophantine equation \(ax^2+(3a+1)^m=(4a+1)^n\). Zbl 1212.11054Yuan, Pingzhi; Hu, Yongzhong 1 2010 On the Diophantine equations \((a-1)x^2+(91a+9)=4a^n\). Zbl 1224.11058Li, Zhigang; Yuan, Pingzhi 1 2010 Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\). Zbl 1215.11113Ding, Cunsheng; Xiang, Qing; Yuan, Jin; Yuan, Pingzhi 16 2009 Subsequence sums of a zero-sumfree sequence. Zbl 1170.20033Yuan, Pingzhi 6 2009 Subsequence sums of zero-sum-free sequences. Zbl 1248.11021Yuan, Pingzhi 5 2009 Squares in Lehmer sequences and the Diophantine equation \(Ax^4-By^2=2\). Zbl 1220.11045Yuan, Pingzhi; Li, Yuan 4 2009 A new result on Davenport constant. Zbl 1220.11014Yuan, Pingzhi; Zeng, Xiangneng 3 2009 On the transcendence of some infinite sums. Zbl 1293.11082Yuan, Pingzhi; Li, Juan 2 2009 On the Diophantine equation \(X^2-(2^{2m}+1)Y^4=-2^{2m}\). Zbl 1275.11057Stoll, Michael; Walsh, P. G.; Yuan, Pingzhi 2 2009 Congruence subgroups of Hecke groups. Zbl 1210.11050Chen, Bo; Yuan, Pingzhi 1 2009 On sums of consecutive integral roots. Zbl 1239.11028Saltzman, Peter W.; Yuan, Pingzhi 1 2008 On the index of minimal zero-sum sequences over finite cyclic groups. Zbl 1128.11011Yuan, Pingzhi 31 2007 Square-classes in Lehmer sequences having odd parameters and their applications. Zbl 1118.11008Luo, Jiagui; Yuan, Pingzhi 3 2007 The \(k\)-exponents of primitive, nearly reducible matrices. Zbl 1174.05054Hu, Yahui; Yuan, Pingzhi; Liu, Weijun 2 2007 On some special forms of simultaneous Pell equations. Zbl 1158.11014Li, Zhigang; Xia, Jianye; Yuan, Pingzhi 1 2007 On the Diophantine equation \(ax^2+by^2=ck^n\). Zbl 1088.11024Yuan, Pingzhi 5 2005 On the Diophantine equation \(\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}\). Zbl 1063.11009Yuan, Pingzhi 3 2005 On the Diophantine equation \(x^2+D^m=p^n\). Zbl 1076.11021Yuan, Pingzhi; Hu, Yongzhong 2 2005 On the Diophantine equation \(Dx^2+1= ca^n\). Zbl 1134.11321Yuan, Pingzhi 1 2005 On the exponential diophantine equation \(a^x+b^y=c^z\). Zbl 1124.11307Hu, Yongzhong; Yuan, Pingzhi 1 2005 On the number of solutions of \(x^2-4m(m+1)y^2=y^2-bz^2=1\). Zbl 1050.11031Yuan, Pingzhi 9 2004 A conjecture on Euler numbers. Zbl 1080.11018Yuan, Pingzhi 5 2004 Simultaneous Pell equations. Zbl 1065.11013Yuan, Pingzhi 4 2004 Integers not of the form \(c(2^a+2^b)+p^{\alpha}\). Zbl 1096.11007Yuan, Pingzhi 2 2004 On algebraic approximations of certain algebraic numbers. Zbl 1095.11037Yuan, Pingzhi 5 2003 On the rationality of Cantor and Ahmes series. Zbl 1018.11037Tijdeman, R.; Yuan, Pingzhi 10 2002 On the number of solutions of simultaneous Pell equations. Zbl 1003.11007Yuan, Pingzhi 7 2002 A note on the divisibility of the generalized Lucas sequences. Zbl 1039.11005Yuan, Pingzhi 1 2002 On solutions of higher degree Diophantine equation. Zbl 0987.11023Yuan, Pingzhi; Luo, Jiagui 3 2001 Number of zeros of diagonal polynomials over finite fields. Zbl 1003.11061Ren, Debin; Sun, Qi; Yuan, Pingzhi 2 2001 Multiplicity of generalized Lucas sequences and the number of solutions of the related diophantine equations. Zbl 0987.11022Yuan, Pingzhi 1 2000 A new class of Aurifeuillian factorizations of \(M^n\pm 1\). Zbl 0959.11002Sun, Qi; Ren, Debin; Hong, Shaofang; Yuan, Pingzhi; Han, Qing 1 1999 Integral trees of diameter 4. Zbl 0904.05024Yuan, Pingzhi 5 1998 On the diophantine equation \(x^2+b^y=c^z\). Zbl 0895.11016Yuan, Pingzhi; Wang, Jiabao 5 1998 The divisibility of the class numbers of real quadratic fields. Zbl 1005.11058Yuan, Pingzhi 1 1998 Rational and algebraic approximations of algebraic numbers and their application. Zbl 0908.11027Yuan, Pingzhi 5 1997 On the diophantine equation \(x^4-D\cdot y^2=1\). Zbl 0908.11014Sun, Qi; Yuan, Pingzhi 2 1997 On the number of solutions of diagonal equations over a finite field. Zbl 0848.11013Sun, Qi; Yuan, Pingzhi 11 1996 \(D\)-invariants and the solvability of \(kx^ 2 - ly^ 2 = 1,2\). Zbl 0871.11020Yuan, Pingzhi 2 1996 On the diophantine equation \(x^ 4-Dy^ 2=1\). Zbl 0857.11008Sun, Qi; Yuan, Pingzhi 1 1996 On a special diophantine equation \(a{x \choose n}=by^ r+c\). Zbl 0821.11023Yuan, Pingzhi 1 1994 On the diophantine equations \((ax^ n-1)/(ax-1)=y^ 2\) and \((ax^ n+1)/(ax+1)=y^ 2\). Zbl 0712.11023Sun, Qi; Yuan, Pingzhi 3 1989 all cited Publications top 5 cited Publications all top 5 Cited by 439 Authors 38 Yuan, Pingzhi 21 Geroldinger, Alfred 19 Zeng, Xiangyong 15 Li, Yuanlin 14 Peng, Jiangtao 13 Zhong, Qinghai 12 Tu, Ziran 11 Wang, Qiang (Steven) 10 Gao, Weidong 10 Helleseth, Tor 10 Komatsu, Takao 10 Zha, Zhengbang 9 Bartoli, Daniele 9 Cao, Xiwang 9 Grynkiewicz, David J. 9 Hu, Lei 9 Li, Nian 9 Schmid, Wolfgang Alexander 8 Togbé, Alain 8 Zeng, Xiangneng 7 Hou, Xiang-Dong 7 Le, Maohua 7 Qu, Longjiang 6 Deng, Guixin 6 Li, Kangquan 6 Miyazaki, Takafumi 6 Zheng, Yanbin 5 Adhikari, Sukumar Das 5 Ding, Cunsheng 5 Huang, Zheng-Hai 5 Li, Chunlei 5 Liu, Chao 5 Wang, Ligong 5 You, Lihua 5 Zhang, Wenpeng 4 Baoulina, Ioulia N. 4 Cipu, Mihai 4 Fan, Yushuang 4 Fujita, Yasutsugu Fujita 4 Han, Dongchun 4 Hui, Wanzhen 4 Li, Yaotang 4 Liu, Guodong 4 Philipp, Andreas 4 Qi, Liqun 4 Terai, Nobuhiro 4 Wang, Guoqing 4 Wang, Libo 4 Wu, Baofeng 4 Xu, Guangkui 4 Zhang, Zhongfeng 4 Zheng, Dabin 3 Bennett, Michael A. 3 Feng, Xiutao 3 Fu, Ruiqin 3 Ge, Fan 3 Gupta, Rohit 3 Hančl, Jaroslav 3 He, Bo 3 Hu, Yongzhong 3 Huang, Meiling 3 Karaatli, Olcay 3 Keskin, Refik 3 Kihel, Omar 3 Li, Chaoqian 3 Li, Xueliang 3 Liu, Xianping 3 Luca, Florian 3 Luo, Jiagui 3 Ordaz, Oscar 3 Park, Poo-Sung 3 Pei, Dingyi 3 Şiar, Zafer 3 Soydan, Gokhan 3 Sun, Fang 3 Tang, Gaohua 3 Timpanella, Marco 3 Wang, Yanping 3 Xia, Limeng 3 Yang, Hai 3 Zhang, Hanbin 3 Zhang, Weiguo 2 Bai, Xueli 2 Bu, Changjiang 2 Cao, Zhenfu 2 Cepak, Nastja 2 Chakraborty, Kalyan 2 Chapman, Scott Thomas 2 Chen, Haibin 2 Chen, Jianhua 2 Chen, Xi 2 Deng, Chunli 2 Dong, Xiaolei 2 Fernando, Neranga 2 Ge, Gennian 2 He, Hongjin 2 He, Zilong 2 Huang, Hongdi 2 Jadrijević, Borka 2 Jiao, Aiquan ...and 339 more Authors all top 5 Cited in 108 Serials 80 Finite Fields and their Applications 19 Journal of Number Theory 18 International Journal of Number Theory 16 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 Periodica Mathematica Hungarica 8 Journal of Combinatorial Theory. Series A 8 Science China. Mathematics 6 Linear and Multilinear Algebra 6 European Journal of Combinatorics 6 Acta Mathematica Hungarica 6 Applicable Algebra in Engineering, Communication and Computing 6 Frontiers of Mathematics in China 6 AIMS Mathematics 5 Communications in Algebra 5 Acta Arithmetica 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 The Ramanujan Journal 5 Journal of Inequalities and Applications 5 Integers 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 3 Bulletin of the Australian Mathematical Society 3 Discrete Applied Mathematics 3 Applied Mathematics and Computation 3 Colloquium Mathematicum 3 Czechoslovak Mathematical Journal 3 Functiones et Approximatio. Commentarii Mathematici 3 Monatshefte für Mathematik 3 Results in Mathematics 3 Indagationes Mathematicae. New Series 3 The Electronic Journal of Combinatorics 3 Acta Mathematica Sinica. English Series 3 Journal of the Australian Mathematical Society 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Mediterranean Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Archiv der Mathematik 2 Journal of Optimization Theory and Applications 2 Transactions of the American Mathematical Society 2 International Journal of Algebra and Computation 2 Glasnik Matematički. Serija III 2 Computational Optimization and Applications 2 Journal de Théorie des Nombres de Bordeaux 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 JP Journal of Algebra, Number Theory and Applications 2 Journal of Industrial and Management Optimization 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 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 Publications de l’Institut Mathématique. Nouvelle Série 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 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Foundations of Computer Science 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Journal of Algebraic Combinatorics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Turkish Journal of Mathematics 1 The New York Journal of Mathematics 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 Hacettepe Journal of Mathematics and Statistics 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 ...and 8 more Serials all top 5 Cited in 28 Fields 330 Number theory (11-XX) 72 Combinatorics (05-XX) 58 Group theory and generalizations (20-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 30 Commutative algebra (13-XX) 17 Associative rings and algebras (16-XX) 16 Information and communication theory, circuits (94-XX) 14 Field theory and polynomials (12-XX) 11 Numerical analysis (65-XX) 9 Operations research, mathematical programming (90-XX) 7 Special functions (33-XX) 5 Operator theory (47-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-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 deformable solids (74-XX) 1 Systems theory; control (93-XX) Citations by Year