Papp, Dávid Duality of sum of nonnegative circuit polynomials and optimal SONC bounds. (English) Zbl 07558520 J. Symb. Comput. 114, 246-266 (2023). MSC: 90C23 14Q30 49M29 90C22 90C26 90C30 14P05 90C25 12D15 PDF BibTeX XML Cite \textit{D. Papp}, J. Symb. Comput. 114, 246--266 (2023; Zbl 07558520) Full Text: DOI OpenURL
Qin, Hourong Congruent numbers, quadratic forms and \(K_2\). (English) Zbl 07566711 Math. Ann. 383, No. 3-4, 1647-1686 (2022). MSC: 11R70 11E25 11G05 PDF BibTeX XML Cite \textit{H. Qin}, Math. Ann. 383, No. 3--4, 1647--1686 (2022; Zbl 07566711) Full Text: DOI OpenURL
Laurent, Monique; Vargas, Luis Felipe On the exactness of sum-of-squares approximations for the cone of \(5 \times 5\) copositive matrices. (English) Zbl 07562732 Linear Algebra Appl. 651, 26-50 (2022). MSC: 90C22 90C23 90C27 11E25 PDF BibTeX XML Cite \textit{M. Laurent} and \textit{L. F. Vargas}, Linear Algebra Appl. 651, 26--50 (2022; Zbl 07562732) Full Text: DOI OpenURL
Hu, Sheng-Long Certifying the global optimality of quartic minimization over the sphere. (English) Zbl 07562514 J. Oper. Res. Soc. China 10, No. 2, 241-287 (2022). MSC: 13P15 15A18 15A69 49N15 65H04 90C26 90C46 PDF BibTeX XML Cite \textit{S.-L. Hu}, J. Oper. Res. Soc. China 10, No. 2, 241--287 (2022; Zbl 07562514) Full Text: DOI OpenURL
Escorcielo, Paula; Perrucci, Daniel A few more extensions of Putinar’s Positivstellensatz to non-compact sets. (English) Zbl 07562175 Adv. Geom. 22, No. 3, 421-429 (2022). MSC: 12D15 13J30 14P10 PDF BibTeX XML Cite \textit{P. Escorcielo} and \textit{D. Perrucci}, Adv. Geom. 22, No. 3, 421--429 (2022; Zbl 07562175) Full Text: DOI OpenURL
Dickmann, M.; Miraglia, F.; Ribeiro, H. Special groups and quadratic forms over rings with non-zero-divisor coefficients. (English) Zbl 07558279 Fundam. Math. 258, No. 2, 153-209 (2022). MSC: 11E81 03C65 18B35 06E99 16G30 12D15 46E25 PDF BibTeX XML Cite \textit{M. Dickmann} et al., Fundam. Math. 258, No. 2, 153--209 (2022; Zbl 07558279) Full Text: DOI OpenURL
Zhang, Yong Some conjectural supercongruences related to Bernoulli and Euler numbers. (English) Zbl 07556059 Rocky Mt. J. Math. 52, No. 3, 1105-1126 (2022). MSC: 11A07 11B68 11E25 05A10 11B65 11B75 PDF BibTeX XML Cite \textit{Y. Zhang}, Rocky Mt. J. Math. 52, No. 3, 1105--1126 (2022; Zbl 07556059) Full Text: DOI Link OpenURL
Cao, Liping; Lin, Bernard L. S. Proofs of some conjectures of Sun on the relations between \(T(a, b, c, d; n)\) and \(N(a, b, c, d; n)\). (English) Zbl 07556042 Rocky Mt. J. Math. 52, No. 3, 829-842 (2022). MSC: 11D85 11E25 PDF BibTeX XML Cite \textit{L. Cao} and \textit{B. L. S. Lin}, Rocky Mt. J. Math. 52, No. 3, 829--842 (2022; Zbl 07556042) Full Text: DOI Link OpenURL
Pachev, U. M.; Khalilova, L. A. On an asymptotics of the number of representations of a pair of integers by quadratic and linear forms with congruential condition. (English. Russian original) Zbl 07550587 Math. Notes 111, No. 5, 736-746 (2022); translation from Mat. Zametki 111, No. 5, 726-737 (2022). MSC: 11E25 11D85 PDF BibTeX XML Cite \textit{U. M. Pachev} and \textit{L. A. Khalilova}, Math. Notes 111, No. 5, 736--746 (2022; Zbl 07550587); translation from Mat. Zametki 111, No. 5, 726--737 (2022) Full Text: DOI OpenURL
Ngoc Hoang Anh Mai; Lasserre, Jean-Bernard; Magron, Victor Positivity certificates and polynomial optimization on non-compact semialgebraic sets. (English) Zbl 07550209 Math. Program. 194, No. 1-2 (A), 443-485 (2022). MSC: 90C23 90C22 65H04 PDF BibTeX XML Cite \textit{Ngoc Hoang Anh Mai} et al., Math. Program. 194, No. 1--2 (A), 443--485 (2022; Zbl 07550209) Full Text: DOI OpenURL
Chajda, Ivan; Länger, Helmut Orthogonality and complementation in the lattice of subspaces of a finite vector space. (English) Zbl 07547246 Math. Bohem. 147, No. 2, 141-153 (2022). MSC: 06C15 15A03 12D15 06C05 PDF BibTeX XML Cite \textit{I. Chajda} and \textit{H. Länger}, Math. Bohem. 147, No. 2, 141--153 (2022; Zbl 07547246) Full Text: DOI OpenURL
Dixit, Atul; Kesarwani, Aashita; Kumar, Rahul Explicit transformations of certain Lambert series. (English) Zbl 07546267 Res. Math. Sci. 9, No. 2, Paper No. 34, 54 p. (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 33C20 11F11 11M06 33C10 44A20 PDF BibTeX XML Cite \textit{A. Dixit} et al., Res. Math. Sci. 9, No. 2, Paper No. 34, 54 p. (2022; Zbl 07546267) Full Text: DOI OpenURL
Parmeggiani, Alberto A remark on Kohn’s theorem on sums of squares of complex vector fields. (English) Zbl 07537675 Adv. Math. 404, Part A, Article ID 108378, 24 p. (2022). MSC: 35H20 35A23 35H10 PDF BibTeX XML Cite \textit{A. Parmeggiani}, Adv. Math. 404, Part A, Article ID 108378, 24 p. (2022; Zbl 07537675) Full Text: DOI OpenURL
Roberto, Kaique Matias de Andrade; Ribeiro, Hugo Rafael de Oliveira; Mariano, Hugo Luiz Quadratic structures associated to (multi)rings. (English) Zbl 07528816 Categ. Gen. Algebr. Struct. Appl. 16, No. 1, 105-141 (2022). MSC: 11E81 12D15 PDF BibTeX XML Cite \textit{K. M. de A. Roberto} et al., Categ. Gen. Algebr. Struct. Appl. 16, No. 1, 105--141 (2022; Zbl 07528816) Full Text: DOI OpenURL
Scheiderer, Claus Extreme points of Gram spectrahedra of binary forms. (English) Zbl 1486.11054 Discrete Comput. Geom. 67, No. 4, 1174-1190 (2022). MSC: 11E16 15A63 90C22 52B05 14P10 PDF BibTeX XML Cite \textit{C. Scheiderer}, Discrete Comput. Geom. 67, No. 4, 1174--1190 (2022; Zbl 1486.11054) Full Text: DOI OpenURL
Bove, Antonio; Chinni, Gregorio On a class of globally analytic hypoelliptic sums of squares. (English) Zbl 1487.35194 J. Differ. Equations 327, 109-126 (2022). MSC: 35H10 35H20 35B65 35A20 35A27 PDF BibTeX XML Cite \textit{A. Bove} and \textit{G. Chinni}, J. Differ. Equations 327, 109--126 (2022; Zbl 1487.35194) Full Text: DOI OpenURL
Wang, Jie Nonnegative polynomials and circuit polynomials. (English) Zbl 07516934 SIAM J. Appl. Algebra Geom. 6, No. 2, 111-133 (2022). MSC: 14P10 90C23 90C26 12D10 12D15 PDF BibTeX XML Cite \textit{J. Wang}, SIAM J. Appl. Algebra Geom. 6, No. 2, 111--133 (2022; Zbl 07516934) Full Text: DOI OpenURL
Laurent, Monique; Vargas, Luis Felipe Finite convergence of sum-of-squares hierarchies for the stability number of a graph. (English) Zbl 1487.05259 SIAM J. Optim. 32, No. 2, 491-518 (2022). MSC: 05C99 90C20 90C22 90C26 90C27 11E25 PDF BibTeX XML Cite \textit{M. Laurent} and \textit{L. F. Vargas}, SIAM J. Optim. 32, No. 2, 491--518 (2022; Zbl 1487.05259) Full Text: DOI OpenURL
Shparlinski, Igor E. Bilinear sums of Gauss sums. (English) Zbl 07509427 Acta Arith. 202, No. 4, 379-388 (2022). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11T23 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Acta Arith. 202, No. 4, 379--388 (2022; Zbl 07509427) Full Text: DOI OpenURL
Ding, Yihao; Gu, Dieqi; Huang, Tinghao; Jiang, Qinghai; Ye, Dongxi On conjectures of Z.-H. Sun. (English) Zbl 1483.11069 Result. Math. 77, No. 3, Paper No. 105, 31 p. (2022). MSC: 11F03 11E25 11D85 PDF BibTeX XML Cite \textit{Y. Ding} et al., Result. Math. 77, No. 3, Paper No. 105, 31 p. (2022; Zbl 1483.11069) Full Text: DOI OpenURL
Pushpa, K.; Vasuki, K. R. Evaluation of convolution sums \(\sum\limits_{l + km = n} \sigma(l)\sigma(m)\) and \(\sum\limits_{al + bm = n} \sigma (l)\sigma (m)\) for \(k = a \cdot b = 21, 33\), and \(35\). (English) Zbl 07506051 Glasg. Math. J. 64, No. 2, 434-453 (2022). MSC: 11A25 11M36 11E20 11E25 11F20 PDF BibTeX XML Cite \textit{K. Pushpa} and \textit{K. R. Vasuki}, Glasg. Math. J. 64, No. 2, 434--453 (2022; Zbl 07506051) Full Text: DOI OpenURL
Mosunov, Anton On the representation of integers by binary forms defined by means of the relation \((x + yi)^n= R_n(x,y) + J_n(x,y)i\). (English) Zbl 07503365 Mosc. J. Comb. Number Theory 11, No. 1, 71-78 (2022). Reviewer: István Gaál (Debrecen) MSC: 11E25 11E76 11D59 11D45 PDF BibTeX XML Cite \textit{A. Mosunov}, Mosc. J. Comb. Number Theory 11, No. 1, 71--78 (2022; Zbl 07503365) Full Text: DOI OpenURL
Blekherman, Grigoriy; Sinn, Rainer; Smith, Gregory G.; Velasco, Mauricio Sums of squares and quadratic persistence on real projective varieties. (English) Zbl 07499444 J. Eur. Math. Soc. (JEMS) 24, No. 3, 925-965 (2022). MSC: 14P05 52A99 13D02 PDF BibTeX XML Cite \textit{G. Blekherman} et al., J. Eur. Math. Soc. (JEMS) 24, No. 3, 925--965 (2022; Zbl 07499444) Full Text: DOI OpenURL
Kim, Daejun Weighted sums of generalized polygonal numbers with coefficients \(1\) or \(2\). (English) Zbl 07496908 Acta Arith. 202, No. 3, 227-240 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11E08 PDF BibTeX XML Cite \textit{D. Kim}, Acta Arith. 202, No. 3, 227--240 (2022; Zbl 07496908) Full Text: DOI OpenURL
Benoist, Olivier On the bad points of positive semidefinite polynomials. (English) Zbl 07495477 Math. Z. 300, No. 4, 3383-3403 (2022). MSC: 14G05 11E25 14J70 14P99 11E76 PDF BibTeX XML Cite \textit{O. Benoist}, Math. Z. 300, No. 4, 3383--3403 (2022; Zbl 07495477) Full Text: DOI OpenURL
Jung, Ho Yun; Kim, Chang Heon; Kim, Kyoungmin; Kwon, Soonhak The number of representations of integers by 4-dimensional strongly \(N\)-modular lattices. (English) Zbl 07493916 Ramanujan J. 57, No. 4, 1253-1275 (2022). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E45 PDF BibTeX XML Cite \textit{H. Y. Jung} et al., Ramanujan J. 57, No. 4, 1253--1275 (2022; Zbl 07493916) Full Text: DOI OpenURL
Aygin, Zafer Selcuk Projections of modular forms on Eisenstein series and its application to Siegel’s formula. (English) Zbl 1483.11073 Ramanujan J. 57, No. 4, 1223-1252 (2022). MSC: 11F11 11F20 11F27 11E20 11E25 11F30 PDF BibTeX XML Cite \textit{Z. S. Aygin}, Ramanujan J. 57, No. 4, 1223--1252 (2022; Zbl 1483.11073) Full Text: DOI arXiv OpenURL
Krásenský, Jakub A cubic ring of integers with the smallest Pythagoras number. (English) Zbl 07466649 Arch. Math. 118, No. 1, 39-48 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E12 11R04 11R16 11R80 PDF BibTeX XML Cite \textit{J. Krásenský}, Arch. Math. 118, No. 1, 39--48 (2022; Zbl 07466649) Full Text: DOI arXiv OpenURL
Hejda, Tomáš; Kala, Vítězslav Ternary quadratic forms representing a given arithmetic progression. (English) Zbl 1487.11036 J. Number Theory 234, 140-152 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E20 11E25 PDF BibTeX XML Cite \textit{T. Hejda} and \textit{V. Kala}, J. Number Theory 234, 140--152 (2022; Zbl 1487.11036) Full Text: DOI arXiv OpenURL
Wang, Jie; Magron, Victor Exploiting sparsity in complex polynomial optimization. (English) Zbl 1484.90071 J. Optim. Theory Appl. 192, No. 1, 335-359 (2022). MSC: 90C23 14P10 90C22 90C26 12D15 PDF BibTeX XML Cite \textit{J. Wang} and \textit{V. Magron}, J. Optim. Theory Appl. 192, No. 1, 335--359 (2022; Zbl 1484.90071) Full Text: DOI arXiv OpenURL
Baro, E.; Fernando, Jose F.; Gamboa, J. M. Spectral maps associated to semialgebraic branched coverings. (English) Zbl 1481.14089 Rev. Mat. Complut. 35, No. 1, 227-264 (2022). Reviewer: José Javier Etayo (Madrid) MSC: 14P10 54C30 12D15 13E99 PDF BibTeX XML Cite \textit{E. Baro} et al., Rev. Mat. Complut. 35, No. 1, 227--264 (2022; Zbl 1481.14089) Full Text: DOI arXiv OpenURL
Fernando, José F. Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings. (English) Zbl 1487.14125 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 59, 65 p. (2022). Reviewer: Yong Hu (Guangdong) MSC: 14P10 11E25 11E08 12D15 13F25 13F40 32B05 PDF BibTeX XML Cite \textit{J. F. Fernando}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 59, 65 p. (2022; Zbl 1487.14125) Full Text: DOI OpenURL
Chan, Heng Huat; Wang, Liuquan Borweins’ cubic theta functions revisited. (English) Zbl 07462086 Ramanujan J. 57, No. 1, 55-70 (2022). MSC: 33E05 05A17 11P83 11E25 PDF BibTeX XML Cite \textit{H. H. Chan} and \textit{L. Wang}, Ramanujan J. 57, No. 1, 55--70 (2022; Zbl 07462086) Full Text: DOI OpenURL
Adamczewski, Boris; Drmota, Michael; Müllner, Clemens (Logarithmic) densities for automatic sequences along primes and squares. (English) Zbl 07453324 Trans. Am. Math. Soc. 375, No. 1, 455-499 (2022). MSC: 11B85 11L20 11N05 11A63 11L03 PDF BibTeX XML Cite \textit{B. Adamczewski} et al., Trans. Am. Math. Soc. 375, No. 1, 455--499 (2022; Zbl 07453324) Full Text: DOI arXiv OpenURL
Kim, Byeong Moon; Kim, Myung-Hwan; Park, Dayoon Real quadratic fields admitting universal lattices of rank 7. (English) Zbl 1487.11037 J. Number Theory 233, 456-466 (2022). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E12 11E25 11R11 PDF BibTeX XML Cite \textit{B. M. Kim} et al., J. Number Theory 233, 456--466 (2022; Zbl 1487.11037) Full Text: DOI arXiv OpenURL
Bringmann, Kathrin; Kane, Ben Class numbers and representations by ternary quadratic forms with congruence conditions. (English) Zbl 1485.11080 Math. Comput. 91, No. 333, 295-329 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E20 11Y99 11E25 11E41 11F37 PDF BibTeX XML Cite \textit{K. Bringmann} and \textit{B. Kane}, Math. Comput. 91, No. 333, 295--329 (2022; Zbl 1485.11080) Full Text: DOI arXiv OpenURL
Hartzer, Jacob; Röhrig, Olivia; de Wolff, Timo; Yürük, Oğuzhan Initial steps in the classification of maximal mediated sets. (English) Zbl 1475.52023 J. Symb. Comput. 109, 404-425 (2022). MSC: 52B20 14P10 11E25 11E10 12D15 90C25 PDF BibTeX XML Cite \textit{J. Hartzer} et al., J. Symb. Comput. 109, 404--425 (2022; Zbl 1475.52023) Full Text: DOI arXiv OpenURL
Gouveia, João; Kovačec, Alexander; Saee, Mina On sums of squares of \(K\)-nomials. (English) Zbl 1477.13048 J. Pure Appl. Algebra 226, No. 1, Article ID 106820, 20 p. (2022). Reviewer: Tobias Kaiser (Passau) MSC: 13J30 12D15 90C30 PDF BibTeX XML Cite \textit{J. Gouveia} et al., J. Pure Appl. Algebra 226, No. 1, Article ID 106820, 20 p. (2022; Zbl 1477.13048) Full Text: DOI arXiv OpenURL
Vepkhvadze, Teimuraz On the number of representations of positive integers by some diagonal quadratic forms in mime variables with coefficients that are ones and fours. (English) Zbl 07564077 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 35, 87-90 (2021). MSC: 11E20 11E25 PDF BibTeX XML Cite \textit{T. Vepkhvadze}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 35, 87--90 (2021; Zbl 07564077) Full Text: Link OpenURL
Shavgulidze, Ketevan On the spaces of generalized theta-series with quadratic forms of five variables. (English) Zbl 07564075 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 35, 79-82 (2021). MSC: 11E20 11E25 11F27 PDF BibTeX XML Cite \textit{K. Shavgulidze}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 35, 79--82 (2021; Zbl 07564075) Full Text: Link OpenURL
Zhang, Yong; Yuan, Peisen Proof of a Dwork-type supercongruence by induction. (English) Zbl 07536407 AIMS Math. 6, No. 10, 11568-11583 (2021). MSC: 11A07 11B68 11E25 05A10 11B65 11B75 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{P. Yuan}, AIMS Math. 6, No. 10, 11568--11583 (2021; Zbl 07536407) Full Text: DOI OpenURL
Deutsch, Jesse Ira Some non-classical universal quadratic forms of small size. (English) Zbl 07522990 JP J. Algebra Number Theory Appl. 49, No. 1, 1-10 (2021). MSC: 11E25 PDF BibTeX XML Cite \textit{J. I. Deutsch}, JP J. Algebra Number Theory Appl. 49, No. 1, 1--10 (2021; Zbl 07522990) Full Text: DOI OpenURL
Lev, Nir; Reti, Gilad Poisson summation formulas involving the sum-of-squares function. (English) Zbl 1487.42019 Isr. J. Math. 246, No. 1, 403-421 (2021). MSC: 42B10 11E25 52C23 28A12 PDF BibTeX XML Cite \textit{N. Lev} and \textit{G. Reti}, Isr. J. Math. 246, No. 1, 403--421 (2021; Zbl 1487.42019) Full Text: DOI OpenURL
Aygin, Zafer Selcuk; Doyle, Greg; Münkel, Florian; Pehlivan, Lerna; Williams, Kenneth S. Representation numbers of spinor regular ternary quadratic forms. (English) Zbl 07497491 Integers 21, Paper A99, 110 p. (2021). MSC: 11E25 PDF BibTeX XML Cite \textit{Z. S. Aygin} et al., Integers 21, Paper A99, 110 p. (2021; Zbl 07497491) Full Text: Link OpenURL
Li, Haokun; Xia, Bican Block SOS decomposition. (Chinese. English summary) Zbl 07494932 Sci. Sin., Math. 51, No. 1, 167-178 (2021). MSC: 11E25 12D15 PDF BibTeX XML Cite \textit{H. Li} and \textit{B. Xia}, Sci. Sin., Math. 51, No. 1, 167--178 (2021; Zbl 07494932) Full Text: DOI arXiv OpenURL
Papp, Dávid Polynomial optimization problems and their relaxations. (Hungarian. English summary) Zbl 07493396 Alkalmazott Mat. Lapok 38, No. 1, 89-104 (2021). MSC: 90C22 14Q20 90C25 13P15 PDF BibTeX XML Cite \textit{D. Papp}, Alkalmazott Mat. Lapok 38, No. 1, 89--104 (2021; Zbl 07493396) Full Text: DOI OpenURL
Kominers, Scott Duke Oh’s 8-universality criterion is unique. (English) Zbl 1482.11061 Kyungpook Math. J. 61, No. 3, 455-459 (2021). MSC: 11E20 11E25 PDF BibTeX XML Cite \textit{S. D. Kominers}, Kyungpook Math. J. 61, No. 3, 455--459 (2021; Zbl 1482.11061) Full Text: DOI arXiv OpenURL
Albano, Paolo; Mughetti, Marco On the analytic singular support for the solutions of a class of degenerate elliptic operators. (English) Zbl 1484.35158 Pure Appl. Anal. 3, No. 3, 473-486 (2021). MSC: 35H10 35H20 35A20 35A27 35B65 PDF BibTeX XML Cite \textit{P. Albano} and \textit{M. Mughetti}, Pure Appl. Anal. 3, No. 3, 473--486 (2021; Zbl 1484.35158) Full Text: DOI OpenURL
Banks, Tim; Hamblen, Spencer; Sherwin, Tim; Wright, Sal Sums of quaternion squares and a theorem of Watson. (English) Zbl 07483393 Involve 14, No. 5, 783-792 (2021). Reviewer: Cherng-tiao Perng (Norfolk) MSC: 11E25 11P05 11R52 PDF BibTeX XML Cite \textit{T. Banks} et al., Involve 14, No. 5, 783--792 (2021; Zbl 07483393) Full Text: DOI arXiv OpenURL
Zhai, Xiaokai; Xu, Huiling Nonconservative LMI techniques for robust stabilisation of spatially interconnected systems. (English) Zbl 1483.93516 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 1, 126-140 (2021). MSC: 93D21 93B17 90C22 PDF BibTeX XML Cite \textit{X. Zhai} and \textit{H. Xu}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 1, 126--140 (2021; Zbl 1483.93516) Full Text: DOI OpenURL
Dung, Nguyen Viet; Thang, Luu Ba The number \(a^2+b^2-dc^2\) revisited. (English) Zbl 1487.11038 J. Integer Seq. 24, No. 9, Article 21.9.3, 8 p. (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E16 PDF BibTeX XML Cite \textit{N. V. Dung} and \textit{L. B. Thang}, J. Integer Seq. 24, No. 9, Article 21.9.3, 8 p. (2021; Zbl 1487.11038) Full Text: Link OpenURL
Kondo, Hirofumi A nullstellensatz for ideals of \(C^\infty\) functions in dimension 2. (English) Zbl 1485.14107 Hokkaido Math. J. 50, No. 3, 455-462 (2021). MSC: 14P15 26E05 26E10 46E25 11E25 32C05 PDF BibTeX XML Cite \textit{H. Kondo}, Hokkaido Math. J. 50, No. 3, 455--462 (2021; Zbl 1485.14107) Full Text: DOI OpenURL
Chatzakos, Dimitrios; Kurlberg, Pär; Lester, Stephen; Wigman, Igor On the distribution of lattice points on hyperbolic circles. (English) Zbl 07463745 Algebra Number Theory 15, No. 9, 2357-2380 (2021). Reviewer: Alar Leibak (Tallinn) MSC: 11E25 11H06 11N36 11N37 11N13 11N35 PDF BibTeX XML Cite \textit{D. Chatzakos} et al., Algebra Number Theory 15, No. 9, 2357--2380 (2021; Zbl 07463745) Full Text: DOI arXiv OpenURL
Yu, Jing-Jun On the representation of integers as sums of a class of triangular numbers. (English) Zbl 1483.11066 Math. Notes 110, No. 5, 679-686 (2021). MSC: 11E25 11F11 11F03 11G05 PDF BibTeX XML Cite \textit{J.-J. Yu}, Math. Notes 110, No. 5, 679--686 (2021; Zbl 1483.11066) Full Text: DOI OpenURL
Ehrenborg, Richard Bounding monochromatic triangles using squares. (English) Zbl 07455464 Math. Mag. 94, No. 5, 383-386 (2021). MSC: 05D10 05C55 12D15 PDF BibTeX XML Cite \textit{R. Ehrenborg}, Math. Mag. 94, No. 5, 383--386 (2021; Zbl 07455464) Full Text: DOI OpenURL
Dinh, Trung Hoa; Ho, Minh Toan; Le, Cong Trinh Positivstellensätze for polynomial matrices. (English) Zbl 1481.15021 Positivity 25, No. 4, 1295-1312 (2021). Reviewer: John D. Dixon (Ottawa) MSC: 15A54 11E25 13J30 14P10 PDF BibTeX XML Cite \textit{T. H. Dinh} et al., Positivity 25, No. 4, 1295--1312 (2021; Zbl 1481.15021) Full Text: DOI OpenURL
Schneider, Robert; Sellers, James A.; Wagner, Ian Sequentially congruent partitions and partitions into squares. (English) Zbl 07434819 Ramanujan J. 56, No. 2, 645-650 (2021). MSC: 11P83 05A17 11E25 PDF BibTeX XML Cite \textit{R. Schneider} et al., Ramanujan J. 56, No. 2, 645--650 (2021; Zbl 07434819) Full Text: DOI arXiv OpenURL
Kim, Daejun; Oh, Byeong-Kweon Representations of finite number of quadratic forms with same rank. (English) Zbl 1485.11078 Ramanujan J. 56, No. 2, 631-644 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E20 11E25 PDF BibTeX XML Cite \textit{D. Kim} and \textit{B.-K. Oh}, Ramanujan J. 56, No. 2, 631--644 (2021; Zbl 1485.11078) Full Text: DOI arXiv OpenURL
Trang, Du Thu; Toan, Ho Minh; Hong, Nguyen Thi Algebra of polynomials bounded on a semi-algebraic set \([ f\leq r ]\). (English) Zbl 1482.14060 Acta Math. Vietnam. 46, No. 4, 821-838 (2021). Reviewer: Tien-Son Pham (Dalat) MSC: 14P10 12D15 12E05 13J30 44A60 PDF BibTeX XML Cite \textit{D. T. Trang} et al., Acta Math. Vietnam. 46, No. 4, 821--838 (2021; Zbl 1482.14060) Full Text: DOI OpenURL
Crespo, Teresa; Hajto, Zbigniew; Mohseni, Rouzbeh Real Liouvillian extensions of partial differential fields. (English) Zbl 07431234 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 095, 16 p. (2021). Reviewer: Michael F. Singer (Raleigh) MSC: 12H05 37J35 12D15 14P05 PDF BibTeX XML Cite \textit{T. Crespo} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 095, 16 p. (2021; Zbl 07431234) Full Text: DOI arXiv OpenURL
Fernando, José F. Positive semidefinite analytic functions on real analytic surfaces. (English) Zbl 1480.14039 J. Geom. Anal. 31, No. 12, 12375-12410 (2021). Reviewer: Aftab Patel (London) MSC: 14P15 11E25 32S05 32B10 PDF BibTeX XML Cite \textit{J. F. Fernando}, J. Geom. Anal. 31, No. 12, 12375--12410 (2021; Zbl 1480.14039) Full Text: DOI OpenURL
Cho, Yong-Kum; Chung, Seok-Young The Newton polyhedron and positivity of \(_2F_3\) hypergeometric functions. (English) Zbl 1486.33006 Constr. Approx. 54, No. 2, 353-389 (2021). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C10 33C20 52B20 PDF BibTeX XML Cite \textit{Y.-K. Cho} and \textit{S.-Y. Chung}, Constr. Approx. 54, No. 2, 353--389 (2021; Zbl 1486.33006) Full Text: DOI arXiv OpenURL
Lao, Huixue; Xie, Zhenxing; Wang, Dan On the number of representations of integers by quaternary quadratic forms. (English) Zbl 1485.11081 Indian J. Pure Appl. Math. 52, No. 2, 395-406 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F30 11F27 PDF BibTeX XML Cite \textit{H. Lao} et al., Indian J. Pure Appl. Math. 52, No. 2, 395--406 (2021; Zbl 1485.11081) Full Text: DOI OpenURL
Du, Lingjie; Pang, Tianxiao Asymptotic theory for a stochastic unit root model with intercept and under mis-specification of intercept. (English) Zbl 1477.62062 Methodol. Comput. Appl. Probab. 23, No. 3, 767-799 (2021). MSC: 62F12 62M10 62M07 60G50 PDF BibTeX XML Cite \textit{L. Du} and \textit{T. Pang}, Methodol. Comput. Appl. Probab. 23, No. 3, 767--799 (2021; Zbl 1477.62062) Full Text: DOI OpenURL
Powers, Victoria Certificates of positivity for real polynomials. Theory, practice, and applications. (English) Zbl 1483.14001 Developments in Mathematics 69. Cham: Springer (ISBN 978-3-030-85546-8/hbk; 978-3-030-85547-5/ebook). xi, 156 p. (2021). Reviewer: Jaewoo Jung (Atlanta) MSC: 14-02 14Pxx PDF BibTeX XML Cite \textit{V. Powers}, Certificates of positivity for real polynomials. Theory, practice, and applications. Cham: Springer (2021; Zbl 1483.14001) Full Text: DOI OpenURL
Wu, Hai-Liang; Ni, He-Xia; Pan, Hao On the almost universality of \(\lfloor x^2/a\rfloor +\lfloor y^2/b\rfloor +\lfloor z^2/c\rfloor \). (English) Zbl 1483.11065 Trans. Am. Math. Soc. 374, No. 11, 7925-7944 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11D85 11E25 11E20 11F27 11F37 PDF BibTeX XML Cite \textit{H.-L. Wu} et al., Trans. Am. Math. Soc. 374, No. 11, 7925--7944 (2021; Zbl 1483.11065) Full Text: DOI arXiv OpenURL
Kim, Daejun; Lee, Jeongwon; Oh, Byeong-Kweon A sum of three nonzero triangular numbers. (English) Zbl 1482.11060 Int. J. Number Theory 17, No. 10, 2279-2300 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E20 11E25 PDF BibTeX XML Cite \textit{D. Kim} et al., Int. J. Number Theory 17, No. 10, 2279--2300 (2021; Zbl 1482.11060) Full Text: DOI OpenURL
Blekherman, Grigoriy; Sinn, Rainer; Smith, Gregory G.; Velasco, Mauricio Sums of squares: a real projective story. (English) Zbl 1474.14078 Notices Am. Math. Soc. 68, No. 5, 734-747 (2021). Reviewer: Jaewoo Jung (Atlanta) MSC: 14P05 11E25 PDF BibTeX XML Cite \textit{G. Blekherman} et al., Notices Am. Math. Soc. 68, No. 5, 734--747 (2021; Zbl 1474.14078) Full Text: DOI arXiv OpenURL
Prugsapitak, Supawadee; Thongngam, Nattaporn Representation of integers of the form \(x^2 + my^2 - z^2\). (English) Zbl 1479.11061 J. Integer Seq. 24, No. 7, Article 21.7.7, 4 p. (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E25 PDF BibTeX XML Cite \textit{S. Prugsapitak} and \textit{N. Thongngam}, J. Integer Seq. 24, No. 7, Article 21.7.7, 4 p. (2021; Zbl 1479.11061) Full Text: Link OpenURL
Wang, Jie; Magron, Victor Exploiting term sparsity in noncommutative polynomial optimization. (English) Zbl 07402746 Comput. Optim. Appl. 80, No. 2, 483-521 (2021). MSC: 47N10 90C22 90C23 12D15 14P10 90Cxx PDF BibTeX XML Cite \textit{J. Wang} and \textit{V. Magron}, Comput. Optim. Appl. 80, No. 2, 483--521 (2021; Zbl 07402746) Full Text: DOI arXiv OpenURL
Candogan, Utkan; Soh, Yong Sheng; Chandrasekeran, Venkat A note on convex relaxations for the inverse eigenvalue problem. (English) Zbl 1477.90080 Optim. Lett. 15, No. 8, 2757-2772 (2021). MSC: 90C27 90C22 PDF BibTeX XML Cite \textit{U. Candogan} et al., Optim. Lett. 15, No. 8, 2757--2772 (2021; Zbl 1477.90080) Full Text: DOI arXiv OpenURL
Klyve, Dominic; Tou, Erik R. A prime testing algorithm from Leonhard Euler. (English) Zbl 1470.11317 Am. Math. Mon. 128, No. 8, 687-700 (2021). MSC: 11Y11 11-03 01A50 11E25 PDF BibTeX XML Cite \textit{D. Klyve} and \textit{E. R. Tou}, Am. Math. Mon. 128, No. 8, 687--700 (2021; Zbl 1470.11317) Full Text: DOI OpenURL
Lasserre, Jean Bernard; Magron, Victor; Marx, Swann; Zahm, Olivier Minimizing rational functions: a hierarchy of approximations via pushforward measures. (English) Zbl 1477.90055 SIAM J. Optim. 31, No. 3, 2285-2306 (2021). MSC: 90C22 90C23 90C26 90C30 PDF BibTeX XML Cite \textit{J. B. Lasserre} et al., SIAM J. Optim. 31, No. 3, 2285--2306 (2021; Zbl 1477.90055) Full Text: DOI arXiv OpenURL
Cui, Su-Ping; Gu, Nancy S. S. Sums of squares and partition congruences. (English) Zbl 1481.11102 J. Aust. Math. Soc. 111, No. 2, 249-267 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{S.-P. Cui} and \textit{N. S. S. Gu}, J. Aust. Math. Soc. 111, No. 2, 249--267 (2021; Zbl 1481.11102) Full Text: DOI OpenURL
Jha, Sumit Kumar A formula for the number of overpartitions of \(n\) in terms of the number of representations of \(n\) as a sum of \(r\) squares. (English) Zbl 1483.11225 Integers 21, Paper A82, 3 p. (2021). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11P81 11E25 PDF BibTeX XML Cite \textit{S. K. Jha}, Integers 21, Paper A82, 3 p. (2021; Zbl 1483.11225) Full Text: Link OpenURL
Bhardwaj, Abhishek Nonnegative polynomials, sums of squares and the moment problem (Abstract of thesis). (English) Zbl 1469.11053 Bull. Aust. Math. Soc. 104, No. 2, 337-341 (2021). MSC: 11E25 13J30 15A45 47A57 81P45 PDF BibTeX XML Cite \textit{A. Bhardwaj}, Bull. Aust. Math. Soc. 104, No. 2, 337--341 (2021; Zbl 1469.11053) Full Text: DOI OpenURL
She, Yue-Feng; Wu, Hai-Liang Sums of four squares with a certain restriction. (English) Zbl 1478.11058 Bull. Aust. Math. Soc. 104, No. 2, 218-227 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E12 11E20 PDF BibTeX XML Cite \textit{Y.-F. She} and \textit{H.-L. Wu}, Bull. Aust. Math. Soc. 104, No. 2, 218--227 (2021; Zbl 1478.11058) Full Text: DOI arXiv OpenURL
Jha, Sumit Kumar An identity for the sum of inverses of odd divisors of \(n\) in terms of the number of representations of \(n\) as a sum of squares. (English) Zbl 1479.11021 Rocky Mt. J. Math. 51, No. 2, 581-583 (2021). MSC: 11A25 11E25 PDF BibTeX XML Cite \textit{S. K. Jha}, Rocky Mt. J. Math. 51, No. 2, 581--583 (2021; Zbl 1479.11021) Full Text: arXiv OpenURL
Liu, Zhi-Guo On the Askey-Wilson polynomials and a \(q\)-beta integral. (English) Zbl 1472.05023 Proc. Am. Math. Soc. 149, No. 11, 4639-4648 (2021). MSC: 05A30 33D15 33D45 11E25 11B65 PDF BibTeX XML Cite \textit{Z.-G. Liu}, Proc. Am. Math. Soc. 149, No. 11, 4639--4648 (2021; Zbl 1472.05023) Full Text: DOI OpenURL
Wang, Liuquan Parity of coefficients of mock theta functions. (English) Zbl 1483.11081 J. Number Theory 229, 53-99 (2021). MSC: 11F27 11F37 11D57 11E25 11P83 11P84 PDF BibTeX XML Cite \textit{L. Wang}, J. Number Theory 229, 53--99 (2021; Zbl 1483.11081) Full Text: DOI arXiv OpenURL
Rice, Adrian; Brown, Ezra Why Hamilton couldn’t multiply triples. (English) Zbl 1473.97007 Coll. Math. J. 52, No. 3, 185-192 (2021). MSC: 97F60 11E25 11R52 15A18 PDF BibTeX XML Cite \textit{A. Rice} and \textit{E. Brown}, Coll. Math. J. 52, No. 3, 185--192 (2021; Zbl 1473.97007) Full Text: DOI OpenURL
Uchida, Naoki Integers of the form \(ax^2+bxy+cy^2\). (English) Zbl 07384708 Eur. J. Math. 7, No. 3, 1253-1273 (2021). MSC: 11E16 11E25 11N32 11R65 PDF BibTeX XML Cite \textit{N. Uchida}, Eur. J. Math. 7, No. 3, 1253--1273 (2021; Zbl 07384708) Full Text: DOI arXiv OpenURL
Badík, Andrej; Fečkan, Michal Applying fractional calculus to analyze final consumption and Gross investment influence on GDP. (English) Zbl 07384352 J. Appl. Math. Stat. Inform. 17, No. 1, 65-72 (2021). MSC: 26A33 26A51 26D15 PDF BibTeX XML Cite \textit{A. Badík} and \textit{M. Fečkan}, J. Appl. Math. Stat. Inform. 17, No. 1, 65--72 (2021; Zbl 07384352) Full Text: DOI OpenURL
Johari, M. A. M.; Sapar, S. H.; Zaini, N. A. Relation between sums of squares and sums of centred pentagonal numbers induced by partitions of 8. (English) Zbl 1469.11054 Malays. J. Math. Sci. 15, No. 1, 21-31 (2021). MSC: 11E25 PDF BibTeX XML Cite \textit{M. A. M. Johari} et al., Malays. J. Math. Sci. 15, No. 1, 21--31 (2021; Zbl 1469.11054) Full Text: Link OpenURL
Earnest, A. G.; Gunawardana, B. L. K. On locally primitively universal quadratic forms. (English) Zbl 1478.11053 Ramanujan J. 55, No. 3, 1145-1163 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E08 11E20 11E25 PDF BibTeX XML Cite \textit{A. G. Earnest} and \textit{B. L. K. Gunawardana}, Ramanujan J. 55, No. 3, 1145--1163 (2021; Zbl 1478.11053) Full Text: DOI arXiv OpenURL
Matsuda, Kazuhide Note on Halphen’s system. (English) Zbl 1485.14087 Ramanujan J. 55, No. 3, 873-917 (2021). MSC: 14K25 11E25 11F27 14H40 PDF BibTeX XML Cite \textit{K. Matsuda}, Ramanujan J. 55, No. 3, 873--917 (2021; Zbl 1485.14087) Full Text: DOI OpenURL
Sellers, James A.; Zanello, Fabrizio On the parity of the number of partitions with odd multiplicities. (English) Zbl 1480.11133 Int. J. Number Theory 17, No. 7, 1717-1728 (2021). MSC: 11P83 05A17 11P84 11E25 PDF BibTeX XML Cite \textit{J. A. Sellers} and \textit{F. Zanello}, Int. J. Number Theory 17, No. 7, 1717--1728 (2021; Zbl 1480.11133) Full Text: DOI arXiv OpenURL
Shapiro, Daniel B. Construction of identities for sums of squares. (English) Zbl 1480.11044 Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 42, 5 p. (2021). Reviewer: Cherng-tiao Perng (Norfolk) MSC: 11E25 11E04 15A63 PDF BibTeX XML Cite \textit{D. B. Shapiro}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 42, 5 p. (2021; Zbl 1480.11044) Full Text: DOI arXiv OpenURL
Kim, Byungchan; Kim, Ji Young; Lee, Chong Gyu; Park, Poo-Sung Multiplicative functions additive on polygonal numbers. (English) Zbl 1479.11023 Aequationes Math. 95, No. 4, 601-621 (2021). MSC: 11A25 11E25 PDF BibTeX XML Cite \textit{B. Kim} et al., Aequationes Math. 95, No. 4, 601--621 (2021; Zbl 1479.11023) Full Text: DOI OpenURL
Karpfinger, Christian Places of near-fields: to Heinrich Wefelscheid. (English) Zbl 1480.12009 Result. Math. 76, No. 3, Paper No. 135, 14 p. (2021). MSC: 12K05 12J10 12J15 12D15 PDF BibTeX XML Cite \textit{C. Karpfinger}, Result. Math. 76, No. 3, Paper No. 135, 14 p. (2021; Zbl 1480.12009) Full Text: DOI OpenURL
Hu, Guangwei; Hu, Weiwei Average behavior of the triple divisor function over values of quadratic form. (English) Zbl 1478.11057 Lith. Math. J. 61, No. 1, 37-55 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11P55 PDF BibTeX XML Cite \textit{G. Hu} and \textit{W. Hu}, Lith. Math. J. 61, No. 1, 37--55 (2021; Zbl 1478.11057) Full Text: DOI OpenURL
Lee, Jae Hyoung; Sisarat, Nithirat; Jiao, Liguo Multi-objective convex polynomial optimization and semidefinite programming relaxations. (English) Zbl 1475.90093 J. Glob. Optim. 80, No. 1, 117-138 (2021). Reviewer: Sorin-Mihai Grad (Paris) MSC: 90C29 90C22 90C25 12D15 PDF BibTeX XML Cite \textit{J. H. Lee} et al., J. Glob. Optim. 80, No. 1, 117--138 (2021; Zbl 1475.90093) Full Text: DOI arXiv OpenURL
Sun, Zhi-Hong Supercongruences and binary quadratic forms. (English) Zbl 1472.11026 Acta Arith. 199, No. 1, 1-32 (2021). MSC: 11A07 05A19 11B65 11E25 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Acta Arith. 199, No. 1, 1--32 (2021; Zbl 1472.11026) Full Text: DOI OpenURL
Thurnheer, Peter Special orthogonal integer bases and representations by sums of squares. (English) Zbl 1478.11059 Elem. Math. 76, No. 1, 10-16 (2021). MSC: 11E25 PDF BibTeX XML Cite \textit{P. Thurnheer}, Elem. Math. 76, No. 1, 10--16 (2021; Zbl 1478.11059) Full Text: DOI OpenURL
Skałba, M. Rational points on three mutually orthogonal great circles. (English) Zbl 1473.11084 Int. J. Number Theory 17, No. 4, 925-929 (2021). Reviewer: Lenny Fukshansky (Claremont) MSC: 11E25 11D09 PDF BibTeX XML Cite \textit{M. Skałba}, Int. J. Number Theory 17, No. 4, 925--929 (2021; Zbl 1473.11084) Full Text: DOI OpenURL
Kim, Kyoungmin; Kwon, Yeong-Wook The number of representations of integers by generalized Bell ternary quadratic forms. (English) Zbl 1472.11110 Int. J. Number Theory 17, No. 4, 887-901 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E45 PDF BibTeX XML Cite \textit{K. Kim} and \textit{Y.-W. Kwon}, Int. J. Number Theory 17, No. 4, 887--901 (2021; Zbl 1472.11110) Full Text: DOI OpenURL
Earnest, A. G.; Gunawardana, B. L. K. Local criteria for universal and primitively universal quadratic forms. (English) Zbl 1475.11055 J. Number Theory 225, 260-280 (2021). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E08 11E12 11E20 11E25 PDF BibTeX XML Cite \textit{A. G. Earnest} and \textit{B. L. K. Gunawardana}, J. Number Theory 225, 260--280 (2021; Zbl 1475.11055) Full Text: DOI OpenURL
Coto Mora, Edward; Viganò, Francesco 169 and sums of positive squares. (English) Zbl 1471.11130 Am. Math. Mon. 128, No. 6, 553 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E25 PDF BibTeX XML Cite \textit{E. Coto Mora} and \textit{F. Viganò}, Am. Math. Mon. 128, No. 6, 553 (2021; Zbl 1471.11130) Full Text: DOI OpenURL
Magron, Victor; Safey El Din, Mohab On exact Reznick, Hilbert-Artin and Putinar’s representations. (English) Zbl 1476.14102 J. Symb. Comput. 107, 221-250 (2021). Reviewer: Jaewoo Jung (Atlanta) MSC: 14Q30 11E25 68W30 PDF BibTeX XML Cite \textit{V. Magron} and \textit{M. Safey El Din}, J. Symb. Comput. 107, 221--250 (2021; Zbl 1476.14102) Full Text: DOI arXiv OpenURL
Heaton, Alexander; Hoşten, Serkan; Shankar, Isabelle Symmetry adapted Gram spectrahedra. (English) Zbl 1472.90083 SIAM J. Appl. Algebra Geom. 5, No. 1, 140-164 (2021). MSC: 90C22 05E05 14Q30 PDF BibTeX XML Cite \textit{A. Heaton} et al., SIAM J. Appl. Algebra Geom. 5, No. 1, 140--164 (2021; Zbl 1472.90083) Full Text: DOI arXiv OpenURL