Wang, Han; Sun, Zhi-Wei On certain determinants and related Legendre symbols. (English) Zbl 07807917 Bull. Malays. Math. Sci. Soc. (2) 47, No. 2, Paper No. 58, 19 p. (2024). MSC: 11C20 15A15 11A15 11B39 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Z.-W. Sun}, Bull. Malays. Math. Sci. Soc. (2) 47, No. 2, Paper No. 58, 19 p. (2024; Zbl 07807917) Full Text: DOI
Wang, Chen; Sun, Zhi-Wei Some parametric congruences involving generalized central trinomial coefficients. (English) Zbl 1527.11006 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 3, 10 p. (2024). MSC: 11A07 11B65 05A10 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Z.-W. Sun}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 3, 10 p. (2024; Zbl 1527.11006) Full Text: DOI arXiv
Sun, Zhi-Wei; Zhou, Yajun Proof of conjectures on series with summands involving \( \binom{2k}{k}8^k/(\binom{3k}{k}\binom{6k}{3k})\). arXiv:2401.14197 Preprint, arXiv:2401.14197 [math.CA] (2024). MSC: 33B15 33B30 33F10 11M32 11B65 BibTeX Cite \textit{Z.-W. Sun} and \textit{Y. Zhou}, ``Proof of conjectures on series with summands involving $ \binom{2k}{k}8^k/(\binom{3k}{k}\binom{6k}{3k})$'', Preprint, arXiv:2401.14197 [math.CA] (2024) Full Text: arXiv OA License
Sun, Zhi-Wei; Zhou, Yajun Evaluations of \( \sum_{k=1}^\infty \frac{x^k}{k^2\binom{3k}{k}}\) and related series. arXiv:2401.12083 Preprint, arXiv:2401.12083 [math.CO] (2024). MSC: 05A10 11M32 11B65 33B15 BibTeX Cite \textit{Z.-W. Sun} and \textit{Y. Zhou}, ``Evaluations of $ \sum_{k=1}^\infty \frac{x^k}{k^2\binom{3k}{k}}$ and related series'', Preprint, arXiv:2401.12083 [math.CO] (2024) Full Text: arXiv OA License
Sun, Zhi-Wei Some new series for \(1/\pi\) motivated by congruences. (English) Zbl 07763133 Colloq. Math. 173, No. 1, 89-109 (2023). MSC: 11B65 11Y60 05A19 11A07 11E25 33F10 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Colloq. Math. 173, No. 1, 89--109 (2023; Zbl 07763133) Full Text: DOI arXiv
Luo, Xin-Qi; Sun, Zhi-Wei Legendre symbols related to certain determinants. (English) Zbl 07708304 Bull. Malays. Math. Sci. Soc. (2) 46, No. 4, Paper No. 119, 20 p. (2023). MSC: 11C20 15A15 11A15 11B39 PDFBibTeX XMLCite \textit{X.-Q. Luo} and \textit{Z.-W. Sun}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 4, Paper No. 119, 20 p. (2023; Zbl 07708304) Full Text: DOI arXiv
Xia, Wei; Sun, Zhi-Wei On congruences involving Apéry numbers. (English) Zbl 1520.11031 Proc. Am. Math. Soc. 151, No. 8, 3305-3315 (2023). MSC: 11B65 11A07 05A10 11B39 PDFBibTeX XMLCite \textit{W. Xia} and \textit{Z.-W. Sun}, Proc. Am. Math. Soc. 151, No. 8, 3305--3315 (2023; Zbl 1520.11031) Full Text: DOI arXiv
Wang, Chen; Sun, Zhi-Wei A parametric congruence motivated by Orr’s identity. (English) Zbl 1516.11010 J. Difference Equ. Appl. 29, No. 2, 198-207 (2023). MSC: 11A07 11B65 05A10 33C20 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Z.-W. Sun}, J. Difference Equ. Appl. 29, No. 2, 198--207 (2023; Zbl 1516.11010) Full Text: DOI arXiv
Hou, Qing-Hu; Sun, Zhi-Wei Taylor coefficients and series involving harmonic numbers. arXiv:2310.03699 Preprint, arXiv:2310.03699 [math.CO] (2023). MSC: 05A19 11B65 33B15 BibTeX Cite \textit{Q.-H. Hou} and \textit{Z.-W. Sun}, ``Taylor coefficients and series involving harmonic numbers'', Preprint, arXiv:2310.03699 [math.CO] (2023) Full Text: arXiv OA License
Sun, Zhi-Wei New series involving binomial coefficients. arXiv:2307.03086 Preprint, arXiv:2307.03086 [math.NT] (2023). MSC: 05A19 11B65 11A07 11B68 33B15 BibTeX Cite \textit{Z.-W. Sun}, ``New series involving binomial coefficients'', Preprint, arXiv:2307.03086 [math.NT] (2023) Full Text: arXiv OA License
Luo, Xin-Qi; Sun, Zhi-Wei On an inverse problem for restricted sumsets. arXiv:2305.11574 Preprint, arXiv:2305.11574 [math.NT] (2023). MSC: 11P70 11B13 BibTeX Cite \textit{X.-Q. Luo} and \textit{Z.-W. Sun}, ``On an inverse problem for restricted sumsets'', Preprint, arXiv:2305.11574 [math.NT] (2023) Full Text: arXiv OA License
Sun, Zhi-Wei On determinants involving second-order recurrent sequences. arXiv:2302.08315 Preprint, arXiv:2302.08315 [math.NT] (2023). MSC: 11B39 11C20 05C05 15B05 BibTeX Cite \textit{Z.-W. Sun}, ``On determinants involving second-order recurrent sequences'', Preprint, arXiv:2302.08315 [math.NT] (2023) Full Text: arXiv OA License
Wang, Li-Yuan; Sun, Zhi-Wei On practical numbers of some special forms. (English) Zbl 07688555 Houston J. Math. 48, No. 2, 241-247 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11B83 11D09 PDFBibTeX XMLCite \textit{L.-Y. Wang} and \textit{Z.-W. Sun}, Houston J. Math. 48, No. 2, 241--247 (2022; Zbl 07688555) Full Text: arXiv Link
Sun, Zhi-Wei On Motzkin numbers and central trinomial coefficients. (English) Zbl 1491.11028 Adv. Appl. Math. 136, Article ID 102319, 25 p. (2022). MSC: 11B65 05A10 05A19 11A07 11B75 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Adv. Appl. Math. 136, Article ID 102319, 25 p. (2022; Zbl 1491.11028) Full Text: DOI arXiv
Wang, Chen; Sun, Zhi-Wei Proof of some conjectural hypergeometric supercongruences via curious identities. (English) Zbl 1479.11017 J. Math. Anal. Appl. 505, No. 1, Article ID 125575, 20 p. (2022). MSC: 11A07 11B65 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Z.-W. Sun}, J. Math. Anal. Appl. 505, No. 1, Article ID 125575, 20 p. (2022; Zbl 1479.11017) Full Text: DOI arXiv
Sun, Zhi-Wei Series with summands involving harmonic numbers. arXiv:2210.07238 Preprint, arXiv:2210.07238 [math.NT] (2022). MSC: 11B65 05A19 11A07 11B68 BibTeX Cite \textit{Z.-W. Sun}, ``Series with summands involving harmonic numbers'', Preprint, arXiv:2210.07238 [math.NT] (2022) Full Text: arXiv OA License
Wang, Han; Sun, Zhi-Wei Evaluations of some Toeplitz-type determinants. arXiv:2206.12317 Preprint, arXiv:2206.12317 [math.NT] (2022). MSC: 11C20 15A18 11B39 BibTeX Cite \textit{H. Wang} and \textit{Z.-W. Sun}, ``Evaluations of some Toeplitz-type determinants'', Preprint, arXiv:2206.12317 [math.NT] (2022) Full Text: arXiv OA License
Wang, Han; Sun, Zhi-Wei On two new kinds of restricted sumsets. arXiv:2210.12044 Preprint, arXiv:2210.12044 [math.NT] (2022). MSC: 11B13 11P70 05E16 20K15 BibTeX Cite \textit{H. Wang} and \textit{Z.-W. Sun}, ``On two new kinds of restricted sumsets'', Preprint, arXiv:2210.12044 [math.NT] (2022) Full Text: arXiv OA License
Sun, Zhi-Wei Evaluations of some series of the type \(\sum_{k=0}^\infty(ak+b)x^k/\binom{mk}{nk}\). arXiv:2204.08275 Preprint, arXiv:2204.08275 [math.NT] (2022). MSC: 11B65 05A19 11A07 33B15 BibTeX Cite \textit{Z.-W. Sun}, ``Evaluations of some series of the type $\sum_{k=0}^\infty(ak+b)x^k/\binom{mk}{nk}$'', Preprint, arXiv:2204.08275 [math.NT] (2022) Full Text: arXiv OA License
Sun, Zhi-Wei On permutations of \(\{1,\ldots ,n\}\) and related topics. (English) Zbl 1478.05006 J. Algebr. Comb. 54, No. 3, 893-912 (2021). MSC: 05A05 11B75 11B13 11B39 20D60 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Algebr. Comb. 54, No. 3, 893--912 (2021; Zbl 1478.05006) Full Text: DOI arXiv Backlinks: MO
Sun, Zhi-Wei Supercongruences involving Lucas sequences. (English) Zbl 1479.11014 Monatsh. Math. 196, No. 3, 577-606 (2021). MSC: 11A07 11B65 05A10 11B39 11B75 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Monatsh. Math. 196, No. 3, 577--606 (2021; Zbl 1479.11014) Full Text: DOI arXiv
Sun, Zhi-Wei Further results on Hilbert’s tenth problem. (English) Zbl 1494.11100 Sci. China, Math. 64, No. 2, 281-306 (2021). Reviewer: Xavier Vidaux (Concepción) MSC: 11U05 03D35 03B25 03D25 11D99 11A41 11B39 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Sci. China, Math. 64, No. 2, 281--306 (2021; Zbl 1494.11100) Full Text: DOI arXiv
Hou, Qing-Hu; Sun, Zhi-Wei \(q\)-analogues of some series for powers of \(\pi\). (English) Zbl 1460.05026 Ann. Comb. 25, No. 1, 167-177 (2021). MSC: 05A30 11B65 11M06 PDFBibTeX XMLCite \textit{Q.-H. Hou} and \textit{Z.-W. Sun}, Ann. Comb. 25, No. 1, 167--177 (2021; Zbl 1460.05026) Full Text: DOI arXiv
Fu, Shishuo; Lin, Zhicong; Sun, Zhi-Wei Proof of several conjectures relating permanents to combinatorial sequences. arXiv:2109.11506 Preprint, arXiv:2109.11506 [math.CO] (2021). MSC: 05A05 15A15 05A15 05A19 05E18 11A55 11B68 BibTeX Cite \textit{S. Fu} et al., ``Proof of several conjectures relating permanents to combinatorial sequences'', Preprint, arXiv:2109.11506 [math.CO] (2021) Full Text: arXiv OA License
Sun, Zhi-Wei New type series for powers of \(\pi\). (English) Zbl 07730645 J. Comb. Number Theory 12, No. 3, 157-208 (2020). MSC: 11B65 11Y60 05A19 33F10 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Comb. Number Theory 12, No. 3, 157--208 (2020; Zbl 07730645) Full Text: arXiv
Sun, Zhi-Wei Quadratic residues and quartic residues modulo primes. (English) Zbl 1471.11013 Int. J. Number Theory 16, No. 8, 1833-1858 (2020). MSC: 11A15 11A07 11B39 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Int. J. Number Theory 16, No. 8, 1833--1858 (2020; Zbl 1471.11013) Full Text: DOI arXiv
Sun, Zhi-Wei New series for powers of \(\pi\) and related congruences. (English) Zbl 1461.11010 Electron. Res. Arch. 28, No. 3, 1273-1342 (2020). MSC: 11A07 11B65 05A19 11E25 33F10 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Electron. Res. Arch. 28, No. 3, 1273--1342 (2020; Zbl 1461.11010) Full Text: DOI arXiv
Cao, Hui-Qin; Matiyasevich, Yuri; Sun, Zhi-Wei Congruences for Apéry numbers \(\beta_n = \sum_{k = 0}^n \binom{n}{k}^2 \binom{n + k}{k}\). (English) Zbl 1471.11089 Int. J. Number Theory 16, No. 5, 981-1003 (2020). MSC: 11B65 11A07 11B68 11B75 PDFBibTeX XMLCite \textit{H.-Q. Cao} et al., Int. J. Number Theory 16, No. 5, 981--1003 (2020; Zbl 1471.11089) Full Text: DOI arXiv
Matiyasevich, Yuri; Sun, Zhi-Wei On Diophantine equations over \(\mathbb Z[i]\) with \(52\) unknowns. arXiv:2002.12136 Preprint, arXiv:2002.12136 [math.NT] (2020). MSC: 03D35 11U05 03D25 11B39 11D99 11R11 BibTeX Cite \textit{Y. Matiyasevich} and \textit{Z.-W. Sun}, ``On Diophantine equations over $\mathbb Z[i]$ with $52$ unknowns'', Preprint, arXiv:2002.12136 [math.NT] (2020) Full Text: arXiv OA License
Sun, Zhi-Wei Connections between covers of \(\mathbb Z\) and subset sums. arXiv:2008.04153 Preprint, arXiv:2008.04153 [math.NT] (2020). MSC: 11B25 11B75 05E99 11B13 11C08 11D68 11T99 BibTeX Cite \textit{Z.-W. Sun}, ``Connections between covers of $\mathbb Z$ and subset sums'', Preprint, arXiv:2008.04153 [math.NT] (2020) Full Text: arXiv OA License
Sun, Zhi-Wei A new extension of the Sun-Zagier result involving Bell numbers and derangement numbers. (English) Zbl 1479.11015 J. Comb. Number Theory 11, No. 3, 147-152 (2019). MSC: 11A07 11B73 05A15 05A18 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Comb. Number Theory 11, No. 3, 147--152 (2019; Zbl 1479.11015) Full Text: arXiv
Sun, Zhi-Wei; Zhao, Lilu On the set \(\{\pi(kn):k=1,2,3,\dots\}\). (English) Zbl 1461.11125 J. Comb. Number Theory 11, No. 2, 97-102 (2019). MSC: 11N05 05A15 11A07 11B99 PDFBibTeX XMLCite \textit{Z.-W. Sun} and \textit{L. Zhao}, J. Comb. Number Theory 11, No. 2, 97--102 (2019; Zbl 1461.11125) Full Text: arXiv
Sun, Zhiwei Some new problems in additive combinatorics. (English) Zbl 1463.05006 J. Nanjing Univ., Math. Biq. 36, No. 2, 134-155 (2019). MSC: 05A05 05B10 11B13 05E14 PDFBibTeX XMLCite \textit{Z. Sun}, J. Nanjing Univ., Math. Biq. 36, No. 2, 134--155 (2019; Zbl 1463.05006) Full Text: arXiv
Sun, Zhiwei New observations on primitive roots modulo primes. (English) Zbl 1463.11004 J. Nanjing Univ., Math. Biq. 36, No. 2, 108-133 (2019). MSC: 11A07 11A41 11A15 11B39 11B68 PDFBibTeX XMLCite \textit{Z. Sun}, J. Nanjing Univ., Math. Biq. 36, No. 2, 108--133 (2019; Zbl 1463.11004) Full Text: arXiv
Sun, Zhiwei Open conjectures on congruences. (English) Zbl 1449.11001 J. Nanjing Univ., Nat. Sci. 36, No. 1, 1-99 (2019). MSC: 11-02 11A07 11A41 05A10 11B65 11B68 PDFBibTeX XMLCite \textit{Z. Sun}, J. Nanjing Univ., Nat. Sci. 36, No. 1, 1--99 (2019; Zbl 1449.11001) Full Text: DOI arXiv
Sun, Zhi-Wei Two \(q\)-analogues of Euler’s formula \(\zeta (2)=\pi^2/6\). (English) Zbl 1437.05025 Colloq. Math. 158, No. 2, 313-320 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 05A30 11B65 11M06 33D05 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Colloq. Math. 158, No. 2, 313--320 (2019; Zbl 1437.05025) Full Text: DOI arXiv
Mao, Guo-Shuai; Sun, Zhi-Wei New congruences involving products of two binomial coefficients. (English) Zbl 1450.11014 Ramanujan J. 49, No. 2, 237-256 (2019). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11B65 11B68 05A10 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{Z.-W. Sun}, Ramanujan J. 49, No. 2, 237--256 (2019; Zbl 1450.11014) Full Text: DOI arXiv
Hou, Qing-Hu; Krattenthaler, Christian; Sun, Zhi-Wei On \(q\)-analogues of some series for \(\pi \) and \(\pi ^2\). (English) Zbl 1441.05027 Proc. Am. Math. Soc. 147, No. 5, 1953-1961 (2019). MSC: 05A30 33D15 11B65 33F10 PDFBibTeX XMLCite \textit{Q.-H. Hou} et al., Proc. Am. Math. Soc. 147, No. 5, 1953--1961 (2019; Zbl 1441.05027) Full Text: DOI arXiv
Wang, Chen; Sun, Zhi-Wei Divisibility results on Franel numbers and related polynomials. (English) Zbl 1435.11041 Int. J. Number Theory 15, No. 2, 433-444 (2019). MSC: 11B65 11A07 11B83 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Z.-W. Sun}, Int. J. Number Theory 15, No. 2, 433--444 (2019; Zbl 1435.11041) Full Text: DOI
Sun, Zhi-Wei Two new kinds of numbers and related divisibility results. (English) Zbl 1428.11014 Colloq. Math. 154, No. 2, 241-273 (2018). MSC: 11A07 11B65 05A10 05A30 11B75 11E25 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Colloq. Math. 154, No. 2, 241--273 (2018; Zbl 1428.11014) Full Text: DOI arXiv
Zhu, Bao-Xuan; Sun, Zhi-Wei Hankel-type determinants for some combinatorial sequences. (English) Zbl 1387.05008 Int. J. Number Theory 14, No. 5, 1265-1277 (2018). MSC: 05A10 11B65 11A07 11C20 15B99 PDFBibTeX XMLCite \textit{B.-X. Zhu} and \textit{Z.-W. Sun}, Int. J. Number Theory 14, No. 5, 1265--1277 (2018; Zbl 1387.05008) Full Text: DOI arXiv
Mu, Yan-Ping; Sun, Zhi-Wei Telescoping method and congruences for double sums. (English) Zbl 1428.11012 Int. J. Number Theory 14, No. 1, 143-165 (2018). MSC: 11A07 11B75 33F10 05A10 PDFBibTeX XMLCite \textit{Y.-P. Mu} and \textit{Z.-W. Sun}, Int. J. Number Theory 14, No. 1, 143--165 (2018; Zbl 1428.11012) Full Text: DOI arXiv
Sun, Zhi-Wei Arithmetic properties of Delannoy numbers and Schröder numbers. (English) Zbl 1433.11025 J. Number Theory 183, 146-171 (2018). MSC: 11B75 05A10 05A19 11A07 11B65 11C08 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 183, 146--171 (2018; Zbl 1433.11025) Full Text: DOI arXiv
Wu, Hai-Liang; Sun, Zhi-Wei Arithmetic progressions represented by diagonal ternary quadratic forms. arXiv:1811.05855 Preprint, arXiv:1811.05855 [math.NT] (2018). MSC: 11E25 11B25 11E20 BibTeX Cite \textit{H.-L. Wu} and \textit{Z.-W. Sun}, ``Arithmetic progressions represented by diagonal ternary quadratic forms'', Preprint, arXiv:1811.05855 [math.NT] (2018) Full Text: arXiv OA License
Sun, Zhi-Wei Conjectures on representations involving primes. (English) Zbl 1433.11115 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory II. CANT, New York, NY, USA, 2015 and 2016. Selected papers. Cham: Springer. Springer Proc. Math. Stat. 220, 279-310 (2017). MSC: 11P32 11A41 11B13 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Springer Proc. Math. Stat. 220, 279--310 (2017; Zbl 1433.11115) Full Text: DOI arXiv
Sun, Zhiwei New conjectures on representations of integers. I. (English) Zbl 1413.11022 J. Nanjing Univ., Nat. Sci. 34, No. 2, 97-120 (2017). MSC: 11B34 11P05 PDFBibTeX XMLCite \textit{Z. Sun}, J. Nanjing Univ., Nat. Sci. 34, No. 2, 97--120 (2017; Zbl 1413.11022) Full Text: DOI
Meng, Xiang-Zi; Sun, Zhi-Wei Sums of four polygonal numbers with coefficients. (English) Zbl 1425.11063 Acta Arith. 180, No. 3, 229-249 (2017). MSC: 11E20 11E25 11B13 11B75 11D85 11P99 PDFBibTeX XMLCite \textit{X.-Z. Meng} and \textit{Z.-W. Sun}, Acta Arith. 180, No. 3, 229--249 (2017; Zbl 1425.11063) Full Text: DOI arXiv
Sun, Zhi-Wei Supercongruences involving dual sequences. (English) Zbl 1406.11007 Finite Fields Appl. 46, 179-216 (2017). MSC: 11A07 11B65 05A10 05A19 11B68 11B75 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Finite Fields Appl. 46, 179--216 (2017; Zbl 1406.11007) Full Text: DOI arXiv
Ge, Fan; Sun, Zhi-Wei On a permutation problem for finite abelian groups. (English) Zbl 1355.05008 Electron. J. Comb. 24, No. 1, Research Paper P1.17, 6 p. (2017). MSC: 05A05 11B75 PDFBibTeX XMLCite \textit{F. Ge} and \textit{Z.-W. Sun}, Electron. J. Comb. 24, No. 1, Research Paper P1.17, 6 p. (2017; Zbl 1355.05008) Full Text: arXiv Link
Sun, Zhi-Wei Congruences involving \(g_n(x)=\sum\limits_{k=0}^n\dbinom{n}{k}^2\dbinom{2k}{k}x^k\). (English) Zbl 1366.11006 Ramanujan J. 40, No. 3, 511-533 (2016). MSC: 11A07 11B65 05A10 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Ramanujan J. 40, No. 3, 511--533 (2016; Zbl 1366.11006) Full Text: DOI
Ge, Fan; Sun, Zhi-Wei On some universal sums of generalized polygonal numbers. (English) Zbl 1348.11030 Colloq. Math. 145, No. 1, 149-155 (2016). MSC: 11E25 11B75 11D85 11E20 11P32 PDFBibTeX XMLCite \textit{F. Ge} and \textit{Z.-W. Sun}, Colloq. Math. 145, No. 1, 149--155 (2016; Zbl 1348.11030) Full Text: DOI arXiv
Mao, Guo-Shuai; Sun, Zhi-Wei Two congruences involving harmonic numbers with applications. (English) Zbl 1408.11011 Int. J. Number Theory 12, No. 2, 527-539 (2016). MSC: 11B65 11B68 05A10 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{Z.-W. Sun}, Int. J. Number Theory 12, No. 2, 527--539 (2016; Zbl 1408.11011) Full Text: DOI arXiv
Sun, Zhi-Wei A result similar to Lagrange’s theorem. (English) Zbl 1402.11056 J. Number Theory 162, 190-211 (2016). MSC: 11E25 11B75 11D85 11E20 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 162, 190--211 (2016; Zbl 1402.11056) Full Text: DOI arXiv
Sun, Zhi-Wei The least modulus for which consecutive polynomial values are distinct. (English) Zbl 1396.11007 J. Number Theory 160, 108-116 (2016). MSC: 11A41 11B25 11A07 11B75 11N13 11Y11 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 160, 108--116 (2016; Zbl 1396.11007) Full Text: DOI arXiv
Sun, Zhi-Wei Problems on combinatorial properties of primes. (English) Zbl 1356.11006 Kaneko, Masanobu (ed.) et al., Number theory. Plowing and starring through high wave forms. Proceedings of the 7th China-Japan Seminar, Fukuoka, Japan, October 28 – November 1, 2013. Hackensack, NJ: World Scientific (ISBN 978-981-4644-92-1/hbk; 978-981-4644-94-5/ebook). Series on Number Theory and Its Applications 11, 169-187 (2015). MSC: 11A41 11A07 11B75 05A10 05A17 11P32 11P83 11P81 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Ser. Number Theory Appl. 11, 169--187 (2015; Zbl 1356.11006) Full Text: DOI arXiv
Sun, Zhi-Wei On universal sums of polygonal numbers. (English) Zbl 1348.11031 Sci. China, Math. 58, No. 7, 1367-1396 (2015). MSC: 11E25 11A41 11B75 11D85 11E20 11P32 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Sci. China, Math. 58, No. 7, 1367--1396 (2015; Zbl 1348.11031) Full Text: DOI arXiv
Sun, Zhi-Wei A new series for \(\pi^3\) and related congruences. (English) Zbl 1321.11023 Int. J. Math. 26, No. 8, Article ID 1550055, 23 p. (2015). MSC: 11B65 11Y60 05A10 05A19 11A07 11B68 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Int. J. Math. 26, No. 8, Article ID 1550055, 23 p. (2015; Zbl 1321.11023) Full Text: DOI arXiv
Meng, Xiang-Zi; Sun, Zhi-Wei Proof of a conjectural supercongruence. (English) Zbl 1339.11024 Finite Fields Appl. 35, 86-91 (2015). MSC: 11B65 11A07 05A10 PDFBibTeX XMLCite \textit{X.-Z. Meng} and \textit{Z.-W. Sun}, Finite Fields Appl. 35, 86--91 (2015; Zbl 1339.11024) Full Text: DOI arXiv
Cao, Hui-Qin; Sun, Zhi-Wei Some congruences involving binomial coefficients. (English) Zbl 1339.11021 Colloq. Math. 139, No. 1, 127-136 (2015). MSC: 11B65 11A07 05A10 11B39 PDFBibTeX XMLCite \textit{H.-Q. Cao} and \textit{Z.-W. Sun}, Colloq. Math. 139, No. 1, 127--136 (2015; Zbl 1339.11021) Full Text: DOI arXiv
Sun, Zhi-Wei Supercongruences motivated by \(e\). (English) Zbl 1339.11025 J. Number Theory 147, 326-341 (2015). MSC: 11B65 05A10 11A07 11B68 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 147, 326--341 (2015; Zbl 1339.11025) Full Text: DOI arXiv
Sun, Zhi-Wei Natural numbers represented by \(\lfloor x^2/a\rfloor+\lfloor y^2/b\rfloor+\lfloor z^2/c\rfloor\). arXiv:1504.01608 Preprint, arXiv:1504.01608 [math.NT] (2015). MSC: 11E25 11B75 11D85 11E20 11P32 BibTeX Cite \textit{Z.-W. Sun}, ``Natural numbers represented by $\lfloor x^2/a\rfloor+\lfloor y^2/b\rfloor+\lfloor z^2/c\rfloor$'', Preprint, arXiv:1504.01608 [math.NT] (2015) Full Text: arXiv OA License
Sun, Zhi-Wei On sums related to central binomial and trinomial coefficients. (English) Zbl 1339.11027 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory. Selected papers based on the presentations at the conferences CANT 2011 and 2012, New York, NY, USA, May 2011 and May 2012. New York, NY: Springer (ISBN 978-1-4939-1600-9/hbk; 978-1-4939-1601-6/ebook). Springer Proceedings in Mathematics & Statistics 101, 257-312 (2014). MSC: 11B65 11E25 05A10 11A07 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Springer Proc. Math. Stat. 101, 257--312 (2014; Zbl 1339.11027) Full Text: DOI arXiv
Sun, Zhiwei Some new series for \(1/ \pi\) and related congruences. (English) Zbl 1324.11008 J. Nanjing Univ., Math. Biq. 31, No. 2, 150-164 (2014). MSC: 11B25 11A07 11B65 PDFBibTeX XMLCite \textit{Z. Sun}, J. Nanjing Univ., Math. Biq. 31, No. 2, 150--164 (2014; Zbl 1324.11008) Full Text: arXiv
Hou, Qing-hu; Sun, Zhi-Wei; Wen, Haomin On monotonicity of some combinatorial sequences. (English) Zbl 1362.11034 Publ. Math. Debr. 85, No. 3-4, 285-295 (2014). MSC: 11B75 05A10 11B39 PDFBibTeX XMLCite \textit{Q.-h. Hou} et al., Publ. Math. Debr. 85, No. 3--4, 285--295 (2014; Zbl 1362.11034) Full Text: DOI arXiv
Pan, Hao; Sun, Zhi-Wei Proof of three conjectures on congruences. (English) Zbl 1302.11010 Sci. China, Math. 57, No. 10, 2091-2102 (2014). MSC: 11B65 11A07 05A10 11B39 PDFBibTeX XMLCite \textit{H. Pan} and \textit{Z.-W. Sun}, Sci. China, Math. 57, No. 10, 2091--2102 (2014; Zbl 1302.11010) Full Text: DOI arXiv
Sun, Zhi-Wei Congruences involving generalized central trinomial coefficients. (English) Zbl 1339.11026 Sci. China, Math. 57, No. 7, 1375-1400 (2014). MSC: 11B65 11A07 11B75 05A10 05A15 11E25 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Sci. China, Math. 57, No. 7, 1375--1400 (2014; Zbl 1339.11026) Full Text: DOI arXiv
Du, Shan-Shan; Cao, Hui-Qin; Sun, Zhi-Wei On a sumset problem for integers. (English) Zbl 1308.11010 Electron. J. Comb. 21, No. 1, Research Paper P1.13, 25 p. (2014). MSC: 11B30 11B13 05E99 11P70 PDFBibTeX XMLCite \textit{S.-S. Du} et al., Electron. J. Comb. 21, No. 1, Research Paper P1.13, 25 p. (2014; Zbl 1308.11010) Full Text: arXiv Link
Sun, Zhi-Wei \(p\)-adic congruences motivated by series. (English) Zbl 1334.11011 J. Number Theory 134, 181-196 (2014). MSC: 11B65 05A19 11B68 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 134, 181--196 (2014; Zbl 1334.11011) Full Text: DOI arXiv
Sun, Zhi-Wei Congruences involving \(g_n(x)=\sum_{k=0}^n\binom nk^2\binom{2k}kx^k\). arXiv:1407.0967 Preprint, arXiv:1407.0967 [math.NT] (2014). MSC: 11A07 11B65 05A10 05A30 11B75 BibTeX Cite \textit{Z.-W. Sun}, ``Congruences involving $g_n(x)=\sum_{k=0}^n\binom nk^2\binom{2k}kx^k$'', Preprint, arXiv:1407.0967 [math.NT] (2014) Full Text: arXiv OA License
Sun, Zhi-Wei New congruences involving harmonic numbers. arXiv:1407.8465 Preprint, arXiv:1407.8465 [math.NT] (2014). MSC: 11A07 11B65 05A10 11B68 11B75 BibTeX Cite \textit{Z.-W. Sun}, ``New congruences involving harmonic numbers'', Preprint, arXiv:1407.8465 [math.NT] (2014) Full Text: arXiv OA License
Sun, Zhi-Wei Conjectures and results on \(x^2\pmod p^2\) with \(4p=x^2+dy^2\). (English) Zbl 1317.11034 Ouyang, Yi (ed.) et al., Number theory and related areas. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-273-2/pbk). Advanced Lectures in Mathematics (ALM) 27, 149-197 (2013). MSC: 11E25 05A10 11B65 11A07 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Adv. Lect. Math. (ALM) 27, 149--197 (2013; Zbl 1317.11034) Full Text: arXiv
Sun, Zhi-Wei Connections between \(p=x^2+3y^2\) and Franel numbers. (English) Zbl 1339.11002 J. Number Theory 133, No. 9, 2914-2928 (2013). MSC: 11A07 05A10 11B75 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 133, No. 9, 2914--2928 (2013; Zbl 1339.11002) Full Text: DOI
Sun, Zhi-Wei Conjectures involving arithmetical sequences. (English) Zbl 1308.11031 Kanemitsu, Shigeru (ed.) et al., Number theory. Arithmetic in Shangri-La. Proceedings of the 6th China-Japan seminar held at Shanghai Jiao Tong University, Shanghai, China, August 15–17, 2011. Hackensack, NJ: World Scientific (ISBN 978-981-4452-44-1/hbk; 978-981-4452-46-5/ebook). Series on Number Theory and Its Applications 8, 244-258 (2013). MSC: 11B83 11A41 05A10 11B39 11B65 11B68 11B73 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Ser. Number Theory Appl. 8, 244--258 (2013; Zbl 1308.11031) Full Text: DOI arXiv
Sun, Zhi-Wei On functions taking only prime values. (English) Zbl 1319.11002 J. Number Theory 133, No. 8, 2794-2812 (2013). MSC: 11A41 11Y11 05A10 11A07 11B75 11N13 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 133, No. 8, 2794--2812 (2013; Zbl 1319.11002) Full Text: DOI arXiv
Sun, Zhi-Wei Supercongruences involving products of two binomial coefficients. (English) Zbl 1331.11012 Finite Fields Appl. 22, 24-44 (2013). MSC: 11B65 11A07 11B39 11B68 11E25 12E20 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Finite Fields Appl. 22, 24--44 (2013; Zbl 1331.11012) Full Text: DOI arXiv
Sun, Zhi-Wei Congruences for Franel numbers. (English) Zbl 1281.05007 Adv. Appl. Math. 51, No. 4, 524-535 (2013). MSC: 05A10 11A07 11B65 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Adv. Appl. Math. 51, No. 4, 524--535 (2013; Zbl 1281.05007) Full Text: DOI arXiv
Sun, Zhi-Wei Fibonacci numbers modulo cubes of primes. (English) Zbl 1316.11013 Taiwanese J. Math. 17, No. 5, 1523-1543 (2013). MSC: 11B39 11B65 11A07 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Taiwanese J. Math. 17, No. 5, 1523--1543 (2013; Zbl 1316.11013) Full Text: DOI arXiv Link
Sun, Zhi-Wei Products and sums divisible by central binomial coefficients. (English) Zbl 1266.05004 Electron. J. Comb. 20, No. 1, Research Paper P9, 14 p. (2013). MSC: 11B65 11A07 05A10 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Electron. J. Comb. 20, No. 1, Research Paper P9, 14 p. (2013; Zbl 1266.05004) Full Text: arXiv Link
Sun, Zhi-Wei; Zhao, Li-Lu Arithmetic theory of harmonic numbers. II. (English) Zbl 1290.11052 Colloq. Math. 130, No. 1, 67-78 (2013). Reviewer: Enzo Bonacci (Latina) MSC: 11B75 05A19 11A07 11B68 PDFBibTeX XMLCite \textit{Z.-W. Sun} and \textit{L.-L. Zhao}, Colloq. Math. 130, No. 1, 67--78 (2013; Zbl 1290.11052) Full Text: DOI arXiv
Sun, Zhi-Wei On \(a^n+bn\) modulo \(m\). arXiv:1312.1166 Preprint, arXiv:1312.1166 [math.NT] (2013). MSC: 11A07 11B75 05A10 11A41 11D61 11P32 BibTeX Cite \textit{Z.-W. Sun}, ``On $a^n+bn$ modulo $m$'', Preprint, arXiv:1312.1166 [math.NT] (2013) Full Text: arXiv OA License
Sun, Zhi-Wei A refinement of a congruence result by van Hamme and Mortenson. (English) Zbl 1292.11040 Ill. J. Math. 56, No. 3, 967-979 (2012). MSC: 11B65 05A10 11A07 11B68 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Ill. J. Math. 56, No. 3, 967--979 (2012; Zbl 1292.11040) Full Text: arXiv Euclid
Sun, Zhi-Wei On divisibility of binomial coefficients. (English) Zbl 1336.11020 J. Aust. Math. Soc. 93, No. 1-2, 189-201 (2012). Reviewer: Florian Luca (Morelia) MSC: 11B65 05A10 11A07 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Aust. Math. Soc. 93, No. 1--2, 189--201 (2012; Zbl 1336.11020) Full Text: DOI
Sun, Zhi-Wei On sums involving products of three binomial coefficients. (English) Zbl 1269.11019 Acta Arith. 156, No. 2, 123-141 (2012). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 05A10 11A07 11E25 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Acta Arith. 156, No. 2, 123--141 (2012; Zbl 1269.11019) Full Text: DOI arXiv
Pan, Hao; Sun, Zhi-Wei Some \(q\)-congruences related to 3-adic valuations. (English) Zbl 1269.11017 Adv. Appl. Math. 49, No. 3-5, 263-270 (2012). MSC: 11B65 05A10 05A30 11A07 11S99 PDFBibTeX XMLCite \textit{H. Pan} and \textit{Z.-W. Sun}, Adv. Appl. Math. 49, No. 3--5, 263--270 (2012; Zbl 1269.11017) Full Text: DOI arXiv
Sun, Zhi-Wei On sums of Apéry polynomials and related congruences. (English) Zbl 1275.11038 J. Number Theory 132, No. 11, 2673-2699 (2012). MSC: 11B65 05A10 11A07 11B68 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 132, No. 11, 2673--2699 (2012; Zbl 1275.11038) Full Text: DOI arXiv
Sun, Zhiwei On harmonic numbers and Lucas sequences. (English) Zbl 1265.11003 Publ. Math. Debr. 80, No. 1-2, 25-41 (2012). Reviewer: Florian Luca (Morelia) MSC: 11A07 11B39 05A10 33B99 PDFBibTeX XMLCite \textit{Z. Sun}, Publ. Math. Debr. 80, No. 1--2, 25--41 (2012; Zbl 1265.11003) Full Text: DOI arXiv
Sun, Zhi-Wei On sums of binomial coefficients modulo \(p^2\). (English) Zbl 1266.11035 Colloq. Math. 127, No. 1, 39-54 (2012). MSC: 11B65 05A10 11A07 11B39 11E25 11S99 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Colloq. Math. 127, No. 1, 39--54 (2012; Zbl 1266.11035) Full Text: DOI arXiv
Adhikari, Sukumar Das; Grynkiewicz, David J.; Sun, Zhi-Wei On weighted zero-sum sequences. (English) Zbl 1329.11019 Adv. Appl. Math. 48, No. 3, 506-527 (2012). Reviewer: Zhuang Jujuan (Dalian) MSC: 11B75 20K01 20D60 05D05 PDFBibTeX XMLCite \textit{S. D. Adhikari} et al., Adv. Appl. Math. 48, No. 3, 506--527 (2012; Zbl 1329.11019) Full Text: DOI arXiv
Sun, Zhi-Wei Arithmetic theory of harmonic numbers. (English) Zbl 1271.11021 Proc. Am. Math. Soc. 140, No. 2, 415-428 (2012). Reviewer: Enzo Bonacci (Latina) MSC: 11B75 11A07 11B68 05A10 05A19 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Proc. Am. Math. Soc. 140, No. 2, 415--428 (2012; Zbl 1271.11021) Full Text: DOI
Sun, Zhi-Wei; Zhao, Li-Lu Linear extension of the Erdős-Heilbronn conjecture. (English) Zbl 1273.11020 J. Comb. Theory, Ser. A 119, No. 2, 364-381 (2012). MSC: 11B13 PDFBibTeX XMLCite \textit{Z.-W. Sun} and \textit{L.-L. Zhao}, J. Comb. Theory, Ser. A 119, No. 2, 364--381 (2012; Zbl 1273.11020) Full Text: DOI arXiv
Sun, Zhi-Wei Determining \(x\) or \(y\) mod \(p^2\) with \(p=x^2+dy^2\). arXiv:1210.5237 Preprint, arXiv:1210.5237 [math.NT] (2012). MSC: 11E25 11B65 05A10 11A07 BibTeX Cite \textit{Z.-W. Sun}, ``Determining $x$ or $y$ mod $p^2$ with $p=x^2+dy^2$'', Preprint, arXiv:1210.5237 [math.NT] (2012) Full Text: arXiv OA License
Sun, Zhi-Wei On irreducible polynomials over finite fields. arXiv:1210.1562 Preprint, arXiv:1210.1562 [math.NT] (2012). MSC: 12E20 05A10 11B99 11C99 BibTeX Cite \textit{Z.-W. Sun}, ``On irreducible polynomials over finite fields'', Preprint, arXiv:1210.1562 [math.NT] (2012) Full Text: arXiv OA License
Sun, Zhi-Wei Some new inequalities for primes. arXiv:1209.3729 Preprint, arXiv:1209.3729 [math.NT] (2012). MSC: 11A41 11B75 BibTeX Cite \textit{Z.-W. Sun}, ``Some new inequalities for primes'', Preprint, arXiv:1209.3729 [math.NT] (2012) Full Text: arXiv OA License
Sun, Zhiwei Super congruences and Euler numbers. (English) Zbl 1256.11011 Sci. China, Math. 54, No. 12, 2509-2535 (2011). MSC: 11B65 11A07 11B68 33C20 PDFBibTeX XMLCite \textit{Z. Sun}, Sci. China, Math. 54, No. 12, 2509--2535 (2011; Zbl 1256.11011) Full Text: DOI arXiv
Sun, Zhiwei On Delannoy numbers and Schröder numbers. (English) Zbl 1280.11014 J. Number Theory 131, No. 12, 2387-2397 (2011). MSC: 11B65 11B68 11A07 PDFBibTeX XMLCite \textit{Z. Sun}, J. Number Theory 131, No. 12, 2387--2397 (2011; Zbl 1280.11014) Full Text: DOI arXiv
Sun, Zhi-Wei On congruences related to central binomial coefficients. (English) Zbl 1261.11019 J. Number Theory 131, No. 11, 2219-2238 (2011). MSC: 11B65 05A10 11A07 11B68 11E25 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 131, No. 11, 2219--2238 (2011; Zbl 1261.11019) Full Text: DOI arXiv
Sun, Zhiwei; Zagier, Don On a curious property of Bell numbers. (English) Zbl 1257.11024 Bull. Aust. Math. Soc. 84, No. 1, 153-158 (2011). Reviewer: Ping Sun (Shenyang) MSC: 11B73 05A15 05A18 11A07 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{D. Zagier}, Bull. Aust. Math. Soc. 84, No. 1, 153--158 (2011; Zbl 1257.11024) Full Text: DOI arXiv
Sun, Zhiwei; Tauraso, Roberto On some new congruences for binomial coefficients. (English) Zbl 1247.11027 Int. J. Number Theory 7, No. 3, 645-662 (2011). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11A07 05A10 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{R. Tauraso}, Int. J. Number Theory 7, No. 3, 645--662 (2011; Zbl 1247.11027) Full Text: DOI arXiv
Sun, Zhi-Wei; Zhang, Wei Binomial coefficients and the ring of \(p\)-adic integers. (English) Zbl 1267.11015 Proc. Am. Math. Soc. 139, No. 5, 1569-1577 (2011). MSC: 11B65 05A10 11A07 11S85 PDFBibTeX XMLCite \textit{Z.-W. Sun} and \textit{W. Zhang}, Proc. Am. Math. Soc. 139, No. 5, 1569--1577 (2011; Zbl 1267.11015) Full Text: DOI arXiv
Sun, Zhi-Wei \(p\)-adic valuations of some sums of multinomial coefficients. (English) Zbl 1305.11014 Acta Arith. 148, No. 1, 63-76 (2011). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11A07 05A10 11S99 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Acta Arith. 148, No. 1, 63--76 (2011; Zbl 1305.11014) Full Text: DOI arXiv