Gao, Yubin; Hall, Frank J.; Li, Zhongshan; Bailey, Victor; Kim, Paul \(4 \times 4\) irreducible sign pattern matrices that require four distinct eigenvalues. (English) Zbl 07766167 Linear Algebra Appl. 680, 1-27 (2024). Reviewer: Ali Shukur (Minsk) MSC: 15B35 15A18 05C50 PDF BibTeX XML Cite \textit{Y. Gao} et al., Linear Algebra Appl. 680, 1--27 (2024; Zbl 07766167) Full Text: DOI
Yiasemides, Michael The variance of a restricted sum-of-squares function over short intervals in \(\mathbb{F}_q [t]\). (English) Zbl 07765133 J. Number Theory 255, 188-229 (2024). MSC: 11N64 11T24 11T55 15B05 15B33 PDF BibTeX XML Cite \textit{M. Yiasemides}, J. Number Theory 255, 188--229 (2024; Zbl 07765133) Full Text: DOI
Davis, Maria M.; Papp, Dávid Rational dual certificates for weighted sums-of-squares polynomials with boundable bit size. (English) Zbl 07740061 J. Symb. Comput. 121, Article ID 102254, 27 p. (2024). MSC: 90Cxx 14Pxx 14Qxx PDF BibTeX XML Cite \textit{M. M. Davis} and \textit{D. Papp}, J. Symb. Comput. 121, Article ID 102254, 27 p. (2024; Zbl 07740061) Full Text: DOI arXiv
Tinková, Magdaléna On the Pythagoras number of the simplest cubic fields. (English) Zbl 07770418 Acta Arith. 208, No. 4, 325-354 (2023). MSC: 11R16 11E25 11R80 PDF BibTeX XML Cite \textit{M. Tinková}, Acta Arith. 208, No. 4, 325--354 (2023; Zbl 07770418) Full Text: DOI arXiv
Sun, Zhi-Hong; Ye, Dongxi Quartic congruences and eta products. (English) Zbl 07769095 Bull. Iran. Math. Soc. 49, No. 5, Paper No. 67, 25 p. (2023). MSC: 11F33 11A07 11E20 11E25 11F11 11L10 11F33 PDF BibTeX XML Cite \textit{Z.-H. Sun} and \textit{D. Ye}, Bull. Iran. Math. Soc. 49, No. 5, Paper No. 67, 25 p. (2023; Zbl 07769095) Full Text: DOI
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 05A19 11A07 11E25 33F10 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Colloq. Math. 173, No. 1, 89--109 (2023; Zbl 07763133) Full Text: DOI arXiv
Ju, Jangwon; Kim, Daejun The pentagonal theorem of sixty-three and generalizations of Cauchy’s lemma. (English) Zbl 07762875 Forum Math. 35, No. 6, 1685-1706 (2023). MSC: 11E12 11E25 11E20 PDF BibTeX XML Cite \textit{J. Ju} and \textit{D. Kim}, Forum Math. 35, No. 6, 1685--1706 (2023; Zbl 07762875) Full Text: DOI arXiv
Koprowski, Przemysław; Magron, Victor; Vaccon, Tristan Pourchet’s theorem in action: decomposing univariate nonnegative polynomials as sums of five squares. (English) Zbl 07760788 Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 425-433 (2023). MSC: 68W30 PDF BibTeX XML Cite \textit{P. Koprowski} et al., in: Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24--27, 2023. New York, NY: Association for Computing Machinery (ACM). 425--433 (2023; Zbl 07760788) Full Text: DOI arXiv
Gribling, Sander; Polak, Sven; Slot, Lucas A note on the computational complexity of the moment-SOS hierarchy for polynomial optimization. (English) Zbl 07760772 Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 280-288 (2023). MSC: 68W30 PDF BibTeX XML Cite \textit{S. Gribling} et al., in: Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24--27, 2023. New York, NY: Association for Computing Machinery (ACM). 280--288 (2023; Zbl 07760772) Full Text: DOI arXiv
Chan, Wai Kiu; Oh, Byeong-Kweon Can we recover an integral quadratic form by representing all its subforms? (English) Zbl 07759062 Adv. Math. 433, Article ID 109317, 20 p. (2023). MSC: 11E12 11E25 PDF BibTeX XML Cite \textit{W. K. Chan} and \textit{B.-K. Oh}, Adv. Math. 433, Article ID 109317, 20 p. (2023; Zbl 07759062) Full Text: DOI arXiv
Atserias, Albert; Fijalkow, Joanna Definable ellipsoid method, sums-of-squares proofs, and the graph isomorphism problem. (English) Zbl 07755475 SIAM J. Comput. 52, No. 5, 1193-1229 (2023). MSC: 68Q25 03B70 03C13 05C60 90C22 90C25 PDF BibTeX XML Cite \textit{A. Atserias} and \textit{J. Fijalkow}, SIAM J. Comput. 52, No. 5, 1193--1229 (2023; Zbl 07755475) Full Text: DOI
Henrion, Didier (ed.); Kuhlmann, Salma (ed.); Mezić, Igor (ed.); Vinnikov, Victor (ed.) Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12–17, 2023. (English) Zbl 07753254 Oberwolfach Rep. 20, No. 1, 741-811 (2023). MSC: 00B05 00B25 14-06 14Pxx 12D15 13J30 14M12 14Q30 37M25 44A60 46N10 47A57 49M29 49N35 52A20 52A27 52A41 90C22 90C25 90C26 93B28 PDF BibTeX XML Cite \textit{D. Henrion} (ed.) et al., Oberwolfach Rep. 20, No. 1, 741--811 (2023; Zbl 07753254) Full Text: DOI
Goswami, Sayan Product of difference sets of the set of primes. (English) Zbl 07748549 Proc. Am. Math. Soc. 151, No. 12, 5081-5086 (2023). MSC: 37Axx 11E25 11T30 05D10 PDF BibTeX XML Cite \textit{S. Goswami}, Proc. Am. Math. Soc. 151, No. 12, 5081--5086 (2023; Zbl 07748549) Full Text: DOI
Becker, Eberhard; Kuhlmann, Franz-Viktor; Kuhlmann, Katarzyna Density of composite places in function fields and applications to real holomorphy rings. (English) Zbl 07747182 Math. Nachr. 296, No. 1, 57-79 (2023). MSC: 12J10 12J15 12D15 12J25 PDF BibTeX XML Cite \textit{E. Becker} et al., Math. Nachr. 296, No. 1, 57--79 (2023; Zbl 07747182) Full Text: DOI arXiv
Matsuda, Kazuhide Cubic theta functions and modular forms of level six. (English) Zbl 07743411 Ramanujan J. 62, No. 2, 469-532 (2023). MSC: 14K25 11E25 PDF BibTeX XML Cite \textit{K. Matsuda}, Ramanujan J. 62, No. 2, 469--532 (2023; Zbl 07743411) Full Text: DOI arXiv
Golasiński, Marek; Gómez Ruiz, Francisco Hermitian matrices over \(K\)-octonions and their diagonalizations. (English) Zbl 07742439 Topology Appl. 339, Part A, Article ID 108575, 14 p. (2023). Reviewer: Roksana Słowik (Gliwice) MSC: 15B33 15A30 15A20 15B57 12D15 20G41 PDF BibTeX XML Cite \textit{M. Golasiński} and \textit{F. Gómez Ruiz}, Topology Appl. 339, Part A, Article ID 108575, 14 p. (2023; Zbl 07742439) Full Text: DOI
Kim, Byeong Moon; Kim, Ji Young A simple proof for Ji-Kim-Oh’s theorem. (English) Zbl 07739514 Korean J. Math. 31, No. 2, 181-188 (2023). Reviewer: Nihal Özgür (Izmir) MSC: 11E25 11E16 11E20 PDF BibTeX XML Cite \textit{B. M. Kim} and \textit{J. Y. Kim}, Korean J. Math. 31, No. 2, 181--188 (2023; Zbl 07739514) Full Text: DOI
Bhardwaj, Abhishek A practical approach to SOS relaxations for detecting quantum entanglement. (English) Zbl 07739322 J. Optim. Theory Appl. 198, No. 3, 869-891 (2023). MSC: 46L60 46N50 46L07 81P45 90C22 13J30 PDF BibTeX XML Cite \textit{A. Bhardwaj}, J. Optim. Theory Appl. 198, No. 3, 869--891 (2023; Zbl 07739322) Full Text: DOI
Kala, Vítězslav; Yatsyna, Pavlo On Kitaoka’s conjecture and lifting problem for universal quadratic forms. (English) Zbl 07738023 Bull. Lond. Math. Soc. 55, No. 2, 854-864 (2023). MSC: 11E12 11E20 11E25 11H06 11R04 PDF BibTeX XML Cite \textit{V. Kala} and \textit{P. Yatsyna}, Bull. Lond. Math. Soc. 55, No. 2, 854--864 (2023; Zbl 07738023) Full Text: DOI arXiv
Huang, Chao; Sun, Zhi-Wei Representing \(n\) as \(n=x+y+z\) with \(x^2+y^2+z^2\) a square. (English) Zbl 07734914 Arch. Math. 121, No. 3, 231-239 (2023). MSC: 11D09 11E25 11P83 PDF BibTeX XML Cite \textit{C. Huang} and \textit{Z.-W. Sun}, Arch. Math. 121, No. 3, 231--239 (2023; Zbl 07734914) Full Text: DOI
Oh, Byeong-Kweon Isolations of cubic lattices from their proper sublattices. (English) Zbl 07732018 Adv. Math. 430, Article ID 109210, 20 p. (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E12 11E25 PDF BibTeX XML Cite \textit{B.-K. Oh}, Adv. Math. 430, Article ID 109210, 20 p. (2023; Zbl 07732018) Full Text: DOI arXiv
Joswig, Michael; Smith, Ben Convergent Hahn series and tropical geometry of higher rank. (English) Zbl 07731110 J. Lond. Math. Soc., II. Ser. 107, No. 4, 1450-1481 (2023). MSC: 14T15 12D15 52B11 PDF BibTeX XML Cite \textit{M. Joswig} and \textit{B. Smith}, J. Lond. Math. Soc., II. Ser. 107, No. 4, 1450--1481 (2023; Zbl 07731110) Full Text: DOI arXiv
Bach, Francis; Rudi, Alessandro Exponential convergence of sum-of-squares hierarchies for trigonometric polynomials. (English) Zbl 1522.14072 SIAM J. Optim. 33, No. 3, 2137-2159 (2023). Reviewer: Lorenzo Baldi (Paris) MSC: 14P05 90C22 11E25 PDF BibTeX XML Cite \textit{F. Bach} and \textit{A. Rudi}, SIAM J. Optim. 33, No. 3, 2137--2159 (2023; Zbl 1522.14072) Full Text: DOI arXiv
Koh, Doowon; Pham, Minh Quy; Pham, Thang Structural theorems on the distance sets over finite fields. (English) Zbl 1518.52008 Forum Math. 35, No. 4, 925-938 (2023). MSC: 52C10 11T23 PDF BibTeX XML Cite \textit{D. Koh} et al., Forum Math. 35, No. 4, 925--938 (2023; Zbl 1518.52008) Full Text: DOI arXiv
Oswald, Nicola; Steuding, Jörn Hurwitz’s lectures on the number theory of quaternions. (English) Zbl 07713800 Heritage of European Mathematics. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-011-2/hbk; 978-3-98547-511-7/ebook). xvii, 293 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01-02 01A55 01A60 01A75 11E25 11R52 13G05 16-03 17A75 PDF BibTeX XML Cite \textit{N. Oswald} and \textit{J. Steuding}, Hurwitz's lectures on the number theory of quaternions. Berlin: European Mathematical Society (EMS) (2023; Zbl 07713800) Full Text: DOI
Kala, Vítězslav; Tinková, Magdaléna Universal quadratic forms, small norms, and traces in families of number fields. (English) Zbl 07711415 Int. Math. Res. Not. 2023, No. 9, 7541-7577 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E20 11E25 11R21 PDF BibTeX XML Cite \textit{V. Kala} and \textit{M. Tinková}, Int. Math. Res. Not. 2023, No. 9, 7541--7577 (2023; Zbl 07711415) Full Text: DOI arXiv
Russell, Oliver; Sun, Wei Moment ratio inequality of bivariate Gaussian distribution and three-dimensional Gaussian product inequality. (English) Zbl 1518.60025 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127410, 27 p. (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 62H20 33C05 PDF BibTeX XML Cite \textit{O. Russell} and \textit{W. Sun}, J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127410, 27 p. (2023; Zbl 1518.60025) Full Text: DOI arXiv
Bove, Antonio; Chinni, Gregorio; Mughetti, Marco On a class of sums of squares related to Hamiltonians with a non periodic magnetic field. (English) Zbl 1518.35243 J. Math. Anal. Appl. 526, No. 2, Article ID 127303, 20 p. (2023). MSC: 35H10 35A20 35J10 PDF BibTeX XML Cite \textit{A. Bove} et al., J. Math. Anal. Appl. 526, No. 2, Article ID 127303, 20 p. (2023; Zbl 1518.35243) Full Text: DOI
Alaca, Ayşe Theta functions of nineteen non-diagonal positive-definite quaternary quadratic forms of discriminant 784 with levels 28 or 56. (English) Zbl 07706228 Indian J. Pure Appl. Math. 54, No. 2, 595-607 (2023). Reviewer: Nihal Özgür (Izmir) MSC: 11E20 11F27 11E25 11F11 11F20 11F30 PDF BibTeX XML Cite \textit{A. Alaca}, Indian J. Pure Appl. Math. 54, No. 2, 595--607 (2023; Zbl 07706228) Full Text: DOI
Debus, Sebastian; Riener, Cordian Reflection groups and cones of sums of squares. (English) Zbl 1521.14102 J. Symb. Comput. 119, 112-144 (2023). Reviewer: Jaewoo Jung (Daejeon) MSC: 14P99 05E05 90C22 PDF BibTeX XML Cite \textit{S. Debus} and \textit{C. Riener}, J. Symb. Comput. 119, 112--144 (2023; Zbl 1521.14102) Full Text: DOI arXiv
Dietmann, Rainer; Elsholtz, Christian; Kalmynin, Alexander; Konyagin, Sergei; Maynard, James Longer gaps between values of binary quadratic forms. (English) Zbl 07702891 Int. Math. Res. Not. 2023, No. 12, 10313-10349 (2023). Reviewer: Anton Shutov (Vladimir) MSC: 11N25 11E16 11E25 PDF BibTeX XML Cite \textit{R. Dietmann} et al., Int. Math. Res. Not. 2023, No. 12, 10313--10349 (2023; Zbl 07702891) Full Text: DOI
Sun, Zhi-Hong Supercongruences involving products of three binomial coefficients. (English) Zbl 1517.11004 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 131, 26 p. (2023). MSC: 11A07 05A19 11B65 11B68 11E25 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 131, 26 p. (2023; Zbl 1517.11004) Full Text: DOI arXiv
Li, Chao From sum of two squares to arithmetic Siegel-Weil formulas. (English) Zbl 07688446 Bull. Am. Math. Soc., New Ser. 60, No. 3, 327-370 (2023). Reviewer: Martin Raum (Gothenburg) MSC: 11G18 11G40 11E25 11F27 14C25 PDF BibTeX XML Cite \textit{C. Li}, Bull. Am. Math. Soc., New Ser. 60, No. 3, 327--370 (2023; Zbl 07688446) Full Text: DOI arXiv
Köklüce, Bülent Representations by quaternary quadratic forms with coefficients \(1, 2, 11\) and \(22\). (English) Zbl 07688138 Bull. Korean Math. Soc. 60, No. 1, 237-255 (2023). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E20 11F11 11F20 11F27 PDF BibTeX XML Cite \textit{B. Köklüce}, Bull. Korean Math. Soc. 60, No. 1, 237--255 (2023; Zbl 07688138) Full Text: DOI
Chinni, Gregorio On the regularity of the solutions and of analytic vectors for “sums of squares”. (English) Zbl 1519.35064 “Bruno Pini” Mathematical Analysis Seminar 2022. Papers from the seminar, University of Bologna, Bologna, Italy, 2022. Bologna: Università di Bologna, Alma Mater Studiorum. 90-108 (2023). Reviewer: Luigi Rodino (Torino) MSC: 35H10 35H20 35B65 35A20 35A27 PDF BibTeX XML Cite \textit{G. Chinni}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2022. Papers from the seminar, University of Bologna, Bologna, Italy, 2022. Bologna: Università di Bologna, Alma Mater Studiorum. 90--108 (2023; Zbl 1519.35064) Full Text: DOI
Kamaraj, Ramanujam; Kane, Ben; Oishi-Tomiyasu, Ryoko Universal sums of generalized heptagonal numbers. (English) Zbl 07679891 J. Number Theory 249, 500-536 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E45 11F27 11F11 PDF BibTeX XML Cite \textit{R. Kamaraj} et al., J. Number Theory 249, 500--536 (2023; Zbl 07679891) Full Text: DOI arXiv
Kim, Mingyu; Oh, Byeong-Kweon Quadratic forms representing large integers only. (English) Zbl 07679887 J. Number Theory 249, 422-440 (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E12 11E20 11E25 PDF BibTeX XML Cite \textit{M. Kim} and \textit{B.-K. Oh}, J. Number Theory 249, 422--440 (2023; Zbl 07679887) Full Text: DOI
Gorodetsky, Ofir Sums of two squares are strongly biased towards quadratic residues. (English) Zbl 07679111 Algebra Number Theory 17, No. 3, 775-804 (2023). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11M06 PDF BibTeX XML Cite \textit{O. Gorodetsky}, Algebra Number Theory 17, No. 3, 775--804 (2023; Zbl 07679111) Full Text: DOI arXiv
Banecki, Juliusz; Kowalczyk, Tomasz Sums of even powers of \(k\)-regulous functions. (English) Zbl 07677394 Indag. Math., New Ser. 34, No. 3, 477-487 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E25 14P10 PDF BibTeX XML Cite \textit{J. Banecki} and \textit{T. Kowalczyk}, Indag. Math., New Ser. 34, No. 3, 477--487 (2023; Zbl 07677394) Full Text: DOI arXiv
Magron, Victor; Safey El Din, Mohab; Vu, Trung-Hieu Sum of squares decompositions of polynomials over their gradient ideals with rational coefficients. (English) Zbl 1509.14113 SIAM J. Optim. 33, No. 1, 63-88 (2023). Reviewer: Amir Hashemi (Isfahan) MSC: 14P05 11E25 13P10 PDF BibTeX XML Cite \textit{V. Magron} et al., SIAM J. Optim. 33, No. 1, 63--88 (2023; Zbl 1509.14113) Full Text: DOI arXiv
Zheng, Yang; Fantuzzi, Giovanni Sum-of-squares chordal decomposition of polynomial matrix inequalities. (English) Zbl 1517.90100 Math. Program. 197, No. 1 (A), 71-108 (2023). MSC: 90C23 90C25 12D15 PDF BibTeX XML Cite \textit{Y. Zheng} and \textit{G. Fantuzzi}, Math. Program. 197, No. 1 (A), 71--108 (2023; Zbl 1517.90100) Full Text: DOI arXiv
Andrews, G. E.; Jha, Sumit Kumar; López-Bonilla, J. Sums of squares, triangular numbers, and divisor sums. (English) Zbl 1516.11012 J. Integer Seq. 26, No. 2, Article 23.2.5, 8 p. (2023). Reviewer: Armen Bagdasaryan (Madīnat al-Kuwait) MSC: 11A25 11E25 11P99 PDF BibTeX XML Cite \textit{G. E. Andrews} et al., J. Integer Seq. 26, No. 2, Article 23.2.5, 8 p. (2023; Zbl 1516.11012) Full Text: Link
Korobenko, Lyudmila; Sawyer, Eric Sums of squares. II: Matrix functions. (English) Zbl 07661163 Linear Algebra Appl. 664, 264-313 (2023). MSC: 26B35 26B05 35J70 47A56 PDF BibTeX XML Cite \textit{L. Korobenko} and \textit{E. Sawyer}, Linear Algebra Appl. 664, 264--313 (2023; Zbl 07661163) Full Text: DOI arXiv
Köklüce, Bülent Evaluation of certain convolution sums involving the sum of the divisors function. (English) Zbl 1510.11020 Ramanujan J. 60, No. 2, 533-549 (2023). MSC: 11A25 11E20 11E25 11F20 11F27 PDF BibTeX XML Cite \textit{B. Köklüce}, Ramanujan J. 60, No. 2, 533--549 (2023; Zbl 1510.11020) Full Text: DOI
Krásenský, Jakub; Yatsyna, Pavlo On quadratic Waring’s problem in totally real number fields. (English) Zbl 1515.11027 Proc. Am. Math. Soc. 151, No. 4, 1471-1485 (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11D85 11E12 11P05 PDF BibTeX XML Cite \textit{J. Krásenský} and \textit{P. Yatsyna}, Proc. Am. Math. Soc. 151, No. 4, 1471--1485 (2023; Zbl 1515.11027) Full Text: DOI arXiv
Chen, Shi-Chao Odd values of partition functions related to binary quadratic forms. (English) Zbl 1514.11064 Int. J. Number Theory 19, No. 2, 237-246 (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 11E25 11N37 PDF BibTeX XML Cite \textit{S.-C. Chen}, Int. J. Number Theory 19, No. 2, 237--246 (2023; Zbl 1514.11064) Full Text: DOI
Kala, Vítězslav Number fields without universal quadratic forms of small rank exist in most degrees. (English) Zbl 1520.11047 Math. Proc. Camb. Philos. Soc. 174, No. 2, 225-231 (2023). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E12 11E20 11E25 11R21 11R80 PDF BibTeX XML Cite \textit{V. Kala}, Math. Proc. Camb. Philos. Soc. 174, No. 2, 225--231 (2023; Zbl 1520.11047) Full Text: DOI arXiv
Yao, Olivia X. M. New congruences involving statistical mechanics partition functions in regime III and IV of Baxter’s solution of the hard-hexagon model. (English) Zbl 1504.11112 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 62, 9 p. (2023). MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{O. X. M. Yao}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 62, 9 p. (2023; Zbl 1504.11112) Full Text: DOI
Korobenko, Lyudmila; Sawyer, Eric Sums of squares. I: Scalar functions. (English) Zbl 1511.35181 J. Funct. Anal. 284, No. 6, Article ID 109827, 66 p. (2023). MSC: 35J70 35H10 PDF BibTeX XML Cite \textit{L. Korobenko} and \textit{E. Sawyer}, J. Funct. Anal. 284, No. 6, Article ID 109827, 66 p. (2023; Zbl 1511.35181) Full Text: DOI
Tacchi, Matteo; Lasserre, Jean Bernard; Henrion, Didier Stokes, Gibbs, and volume computation of semi-algebraic sets. (English) Zbl 1507.14080 Discrete Comput. Geom. 69, No. 1, 260-283 (2023). Reviewer: Jaewoo Jung (Daejeon) MSC: 14P10 90C22 12D15 14Q20 28A75 35J05 53C65 65D30 90C59 PDF BibTeX XML Cite \textit{M. Tacchi} et al., Discrete Comput. Geom. 69, No. 1, 260--283 (2023; Zbl 1507.14080) Full Text: DOI arXiv
Raška, Martin Representing multiples of \(m\) in real quadratic fields as sums of squares. (English) Zbl 1518.11035 J. Number Theory 244, 24-41 (2023). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E25 11E12 11R11 11R80 PDF BibTeX XML Cite \textit{M. Raška}, J. Number Theory 244, 24--41 (2023; Zbl 1518.11035) Full Text: DOI arXiv
Chen, Huatong; Ye, Dongxi; Yuan, Miaodan On a remark of Cooper, Lam and Ye. (English) Zbl 1516.11045 Colloq. Math. 171, No. 1, 127-144 (2023). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11E25 11D09 11E12 11F27 PDF BibTeX XML Cite \textit{H. Chen} et al., Colloq. Math. 171, No. 1, 127--144 (2023; Zbl 1516.11045) Full Text: DOI
Abbasi, Paria; Gribling, Sander; Klingler, Andreas; Netzer, Tim Approximate Pythagoras numbers on \(\ast\)-algebras over \(\mathbb{C}\). (English) Zbl 1498.11111 J. Complexity 74, Article ID 101698, 12 p. (2023). MSC: 11E25 12D15 90C22 PDF BibTeX XML Cite \textit{P. Abbasi} et al., J. Complexity 74, Article ID 101698, 12 p. (2023; Zbl 1498.11111) Full Text: DOI arXiv
Vill, Julian Gram spectrahedra of ternary quartics. (English) Zbl 1516.14107 J. Symb. Comput. 116, 263-283 (2023). Reviewer: Alexander Taveira Blomenhofer (Konstanz) MSC: 14P10 11E25 52A20 14N10 PDF BibTeX XML Cite \textit{J. Vill}, J. Symb. Comput. 116, 263--283 (2023; Zbl 1516.14107) Full Text: DOI arXiv
Akbary, Amir; Aygin, Zafer Selcuk Sums of triangular numbers and sums of squares. (English) Zbl 1506.11055 J. Math. Anal. Appl. 517, No. 1, Article ID 126580, 26 p. (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F11 PDF BibTeX XML Cite \textit{A. Akbary} and \textit{Z. S. Aygin}, J. Math. Anal. Appl. 517, No. 1, Article ID 126580, 26 p. (2023; Zbl 1506.11055) Full Text: DOI arXiv
Papp, Dávid Duality of sum of nonnegative circuit polynomials and optimal SONC bounds. (English) Zbl 1491.90116 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 1491.90116) Full Text: DOI arXiv
Michalska, Maria Real Nullstellensatz and sums of squares. (English) Zbl 1510.13010 Krasiński, Tadeusz (ed.) et al., Analytic and algebraic geometry 4. On the occasion of the 70th birthday of Wojciech Kucharz and the 80th birthday of Tadeusz Winiarski. Łódź: Łódź University Press. 121-136 (2022). MSC: 13J30 12D15 14P05 PDF BibTeX XML Cite \textit{M. Michalska}, in: Analytic and algebraic geometry 4. On the occasion of the 70th birthday of Wojciech Kucharz and the 80th birthday of Tadeusz Winiarski. Łódź: Łódź University Press. 121--136 (2022; Zbl 1510.13010) Full Text: DOI
Mbirika, aBa; Spilker, Jürgen GCD of sums of \(k\) consecutive squares of generalized Fibonacci numbers. (English) Zbl 1520.11028 Fibonacci Q. 60, No. 5, Spec. Iss., 255-269 (2022). MSC: 11B39 11A05 11B50 PDF BibTeX XML Cite \textit{a. Mbirika} and \textit{J. Spilker}, Fibonacci Q. 60, No. 5, 255--269 (2022; Zbl 1520.11028) Full Text: arXiv Link
Somashekara, D. D.; Thulasi, M. B. Hurwitz type results for certain representations of integers as sums of squares. (English) Zbl 1509.11024 Proc. Jangjeon Math. Soc. 25, No. 3, 331-345 (2022). MSC: 11E25 14H42 PDF BibTeX XML Cite \textit{D. D. Somashekara} and \textit{M. B. Thulasi}, Proc. Jangjeon Math. Soc. 25, No. 3, 331--345 (2022; Zbl 1509.11024) Full Text: DOI
Dressler, Mareike; Murray, Riley Algebraic perspectives on signomial optimization. (English) Zbl 07673259 SIAM J. Appl. Algebra Geom. 6, No. 4, 650-684 (2022). MSC: 14P99 90C25 90C23 52A20 28B15 PDF BibTeX XML Cite \textit{M. Dressler} and \textit{R. Murray}, SIAM J. Appl. Algebra Geom. 6, No. 4, 650--684 (2022; Zbl 07673259) Full Text: DOI arXiv
Hendel, Russell Jay Sums of squares: methods for proving identity families. (English) Zbl 1508.11046 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory V. Selected papers based on the presentations at the CANT 2021 workshop, New York, NY, USA, virtual event, May 24–28, 2021. Cham: Springer. Springer Proc. Math. Stat. 395, 239-252 (2022). MSC: 11E25 11B39 PDF BibTeX XML Cite \textit{R. J. Hendel}, Springer Proc. Math. Stat. 395, 239--252 (2022; Zbl 1508.11046) Full Text: DOI arXiv
Rodriguez Caballero, José Manuel A \(q\)-analog of Jacobi’s two squares formula and its applications. (English) Zbl 1521.11017 Hardy-Ramanujan J. 45, 84-87 (2022). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11C08 11B65 11E25 11N13 PDF BibTeX XML Cite \textit{J. M. Rodriguez Caballero}, Hardy-Ramanujan J. 45, 84--87 (2022; Zbl 1521.11017) Full Text: arXiv Link
Castañeda Roldán, Netzahualcóyotl; Castañeda Roldán, Cuauhtémoc H. A review of triangular square numbers. (Una mirada a los números cuadrados triangulares.) (Spanish) Zbl 1506.11004 Misc. Mat. 75, 5-22 (2022). MSC: 11A05 11E25 PDF BibTeX XML Cite \textit{N. Castañeda Roldán} and \textit{C. H. Castañeda Roldán}, Misc. Mat. 75, 5--22 (2022; Zbl 1506.11004) Full Text: DOI
Hale, Cameron G.; Kelleher, Jonathan R.; Mayer, John C. Multiplicity of hexagon numbers. (English) Zbl 1521.97003 Coll. Math. J. 53, No. 5, 335-346 (2022). MSC: 97F60 11D09 11E25 PDF BibTeX XML Cite \textit{C. G. Hale} et al., Coll. Math. J. 53, No. 5, 335--346 (2022; Zbl 1521.97003) Full Text: DOI
Prugsapitak, Supawadee; Thongngam, Nattaporn Representation of integers of the form \(x^2 + ky^2 - lz^2\). (English) Zbl 1516.11046 J. Integer Seq. 25, No. 8, Article 22.8.5, 7 p. (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 PDF BibTeX XML Cite \textit{S. Prugsapitak} and \textit{N. Thongngam}, J. Integer Seq. 25, No. 8, Article 22.8.5, 7 p. (2022; Zbl 1516.11046) Full Text: Link
Brown, Ezra; Rice, Adrian An accessible proof of Hurwitz’s sums of squares theorem. (English) Zbl 1505.11067 Math. Mag. 95, No. 5, 422-436 (2022). MSC: 11E25 11R52 PDF BibTeX XML Cite \textit{E. Brown} and \textit{A. Rice}, Math. Mag. 95, No. 5, 422--436 (2022; Zbl 1505.11067) Full Text: DOI
Jeyakumar, V.; Lee, J. H.; Lee, G. M.; Li, G.; Woolnough, D. Sums of squares polynomial program reformulations for adjustable robust linear optimization problems with separable polynomial decision rules. (English) Zbl 1509.90134 Set-Valued Var. Anal. 30, No. 4, 1363-1380 (2022). MSC: 90C17 90C05 65K10 90C23 90C46 PDF BibTeX XML Cite \textit{V. Jeyakumar} et al., Set-Valued Var. Anal. 30, No. 4, 1363--1380 (2022; Zbl 1509.90134) Full Text: DOI
Broudy, Isaac A.; Lovejoy, Jeremy Arithmetic properties of Schur-type overpartitions. (English) Zbl 1508.11100 Involve 15, No. 3, 489-505 (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 11E25 11P84 PDF BibTeX XML Cite \textit{I. A. Broudy} and \textit{J. Lovejoy}, Involve 15, No. 3, 489--505 (2022; Zbl 1508.11100) Full Text: DOI
Bringmann, Kathrin; Kane, Ben Conjectures of Sun about sums of polygonal numbers. (English) Zbl 1508.11044 Matematica 1, No. 4, 809-828 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11F27 PDF BibTeX XML Cite \textit{K. Bringmann} and \textit{B. Kane}, Matematica 1, No. 4, 809--828 (2022; Zbl 1508.11044) Full Text: DOI arXiv
Krásenský, Jakub; Raška, Martin; Sgallová, Ester Pythagoras numbers of orders in biquadratic fields. (English) Zbl 1508.11047 Expo. Math. 40, No. 4, 1181-1228 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E12 11R04 11R80 PDF BibTeX XML Cite \textit{J. Krásenský} et al., Expo. Math. 40, No. 4, 1181--1228 (2022; Zbl 1508.11047) Full Text: DOI arXiv
Chinni, Gregorio; Derridj, Makhlouf On the microlocal regularity of the analytic vectors for “sums of squares” of vector fields. (English) Zbl 1507.35084 Math. Z. 302, No. 4, 1983-2003 (2022). Reviewer: Chikh Bouzar (Oran) MSC: 35H10 35H20 35B65 35A27 PDF BibTeX XML Cite \textit{G. Chinni} and \textit{M. Derridj}, Math. Z. 302, No. 4, 1983--2003 (2022; Zbl 1507.35084) Full Text: DOI arXiv
Agnihotri, R.; Vaishya, L. A note on holomorphic generalized eta quotient. (English) Zbl 07614053 Acta Math. Hung. 167, No. 2, 393-403 (2022). MSC: 11E25 11F11 11F30 11E20 PDF BibTeX XML Cite \textit{R. Agnihotri} and \textit{L. Vaishya}, Acta Math. Hung. 167, No. 2, 393--403 (2022; Zbl 07614053) Full Text: DOI
Pushpa, K.; Vasuki, K. R. Evaluation of convolution sums \(\sum_{l+15m=n} \sigma (l) \sigma (m)\) and \(\sum_{3l+5m=n} \sigma (l) \sigma (m)\). (English) Zbl 1501.11014 Indian J. Pure Appl. Math. 53, No. 4, 1110-1121 (2022). MSC: 11A25 11E20 11E25 11F20 11M36 PDF BibTeX XML Cite \textit{K. Pushpa} and \textit{K. R. Vasuki}, Indian J. Pure Appl. Math. 53, No. 4, 1110--1121 (2022; Zbl 1501.11014) Full Text: DOI
Köklüce, Bülent Representations by certain octonary quadratic forms with coefficients 1, 2, 5 and 10. (English) Zbl 1498.11112 Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 55, 27 p. (2022). MSC: 11E25 11E20 11F11 11F20 11F27 PDF BibTeX XML Cite \textit{B. Köklüce}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 55, 27 p. (2022; Zbl 1498.11112) Full Text: DOI
Waibel, Fabian Uniform bounds for norms of theta series and arithmetic applications. (English) Zbl 1508.11049 Math. Proc. Camb. Philos. Soc. 173, No. 3, 669-691 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F27 11F30 11P05 11N37 PDF BibTeX XML Cite \textit{F. Waibel}, Math. Proc. Camb. Philos. Soc. 173, No. 3, 669--691 (2022; Zbl 1508.11049) Full Text: DOI arXiv
Kim, Kyoungmin; Oh, Byeong-Kweon A sum of squares not divisible by a prime. (English) Zbl 1510.11099 Ramanujan J. 59, No. 3, 653-670 (2022). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11E45 PDF BibTeX XML Cite \textit{K. Kim} and \textit{B.-K. Oh}, Ramanujan J. 59, No. 3, 653--670 (2022; Zbl 1510.11099) Full Text: DOI arXiv
Chinni, Gregorio (Semi-)global analytic hypoellipticity for a class of “sums of squares” which fail to be locally analytic hypoelliptic. (English) Zbl 1505.35093 Proc. Am. Math. Soc. 150, No. 12, 5193-5202 (2022). Reviewer: Sérgio Luís Zani (São Carlos) MSC: 35H10 35A27 35H20 35B65 PDF BibTeX XML Cite \textit{G. Chinni}, Proc. Am. Math. Soc. 150, No. 12, 5193--5202 (2022; Zbl 1505.35093) Full Text: DOI arXiv
Roberto, Kaique Matias de Andrade; Mariano, Hugo Luiz On superrings of polynomials and algebraically closed multifields. (English) Zbl 1515.03168 J. Appl. Log. - IfCoLog J. Log. Appl. 9, No. 1, 419-444 (2022). MSC: 03C60 11E81 12D15 14P10 PDF BibTeX XML Cite \textit{K. M. de A. Roberto} and \textit{H. L. Mariano}, J. Appl. Log. - IfCoLog J. Log. Appl. 9, No. 1, 419--444 (2022; Zbl 1515.03168) Full Text: arXiv
Ribeiro, Hugo Rafael de Oliveira; Mariano, Hugo Luiz Horn-geometric axioms for faithfully quadratic rings. (English) Zbl 1516.11048 J. Appl. Log. - IfCoLog J. Log. Appl. 9, No. 1, 405-418 (2022). MSC: 11E81 11E70 12D15 03C65 PDF BibTeX XML Cite \textit{H. R. de O. Ribeiro} and \textit{H. L. Mariano}, J. Appl. Log. - IfCoLog J. Log. Appl. 9, No. 1, 405--418 (2022; Zbl 1516.11048)
Bruno, Tommaso Homogeneous algebras via heat kernel estimates. (English) Zbl 1507.46027 Trans. Am. Math. Soc. 375, No. 10, 6903-6946 (2022). MSC: 46E36 58J35 43A85 46E35 46F10 22E25 PDF BibTeX XML Cite \textit{T. Bruno}, Trans. Am. Math. Soc. 375, No. 10, 6903--6946 (2022; Zbl 1507.46027) Full Text: DOI arXiv
Baruah, Nayandeep Deka; Das, Hirakjyoti Relations among representations of integers by certain quadratic forms. (English) Zbl 1502.11042 Indian J. Pure Appl. Math. 53, No. 3, 672-682 (2022). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E20 PDF BibTeX XML Cite \textit{N. D. Baruah} and \textit{H. Das}, Indian J. Pure Appl. Math. 53, No. 3, 672--682 (2022; Zbl 1502.11042) Full Text: DOI
Kurdyka, Krzysztof; Rudnicka, Katarzyna; Spodzieja, Stanisław Exponential convexifying of polynomials. (English) Zbl 1504.14098 Bull. Sci. Math. 180, Article ID 103197, 23 p. (2022). Reviewer: Tobias Kaiser (Passau) MSC: 14P10 12D15 11E25 26B25 PDF BibTeX XML Cite \textit{K. Kurdyka} et al., Bull. Sci. Math. 180, Article ID 103197, 23 p. (2022; Zbl 1504.14098) Full Text: DOI arXiv
Banerjee, Soumyarup; Kane, Ben Finiteness theorems for universal sums of squares of almost primes. (English) Zbl 1502.11051 Trans. Am. Math. Soc. 375, No. 11, 7669-7714 (2022). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F11 11E45 PDF BibTeX XML Cite \textit{S. Banerjee} and \textit{B. Kane}, Trans. Am. Math. Soc. 375, No. 11, 7669--7714 (2022; Zbl 1502.11051) Full Text: DOI arXiv
Ribeiro, Hugo Rafael de Oliveira; Roberto, Kaique Matias de Andrade; Mariano, Hugo Luiz Functorial relationships between multirings and the various abstract theories of quadratic forms. (English) Zbl 1503.11078 São Paulo J. Math. Sci. 16, No. 1, 5-42 (2022). Reviewer: Adam Chapman (Tel Hai) MSC: 11E81 12D15 14P10 PDF BibTeX XML Cite \textit{H. R. de O. Ribeiro} et al., São Paulo J. Math. Sci. 16, No. 1, 5--42 (2022; Zbl 1503.11078) Full Text: DOI arXiv
Chamizo, Fernando; Jiménez-Urroz, Jorge Extendable orthogonal sets of integral vectors. (English) Zbl 07595102 Res. Math. Sci. 9, No. 4, Paper No. 59, 13 p. (2022). Reviewer: Anton Shutov (Vladimir) MSC: 11D09 11E25 11D85 PDF BibTeX XML Cite \textit{F. Chamizo} and \textit{J. Jiménez-Urroz}, Res. Math. Sci. 9, No. 4, Paper No. 59, 13 p. (2022; Zbl 07595102) Full Text: DOI arXiv
Yao, Olivia X. M.; Liu, Eric H.; Bian, Min Automatic proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers. (English) Zbl 1497.11092 Ramanujan J. 59, No. 2, 365-378 (2022). MSC: 11D85 11E25 PDF BibTeX XML Cite \textit{O. X. M. Yao} et al., Ramanujan J. 59, No. 2, 365--378 (2022; Zbl 1497.11092) Full Text: DOI
Aygin, Zafer Selcuk; Williams, Kenneth S. An application of binary quadratic forms of discriminant \(-31\) to modular forms. (English) Zbl 1501.11056 Bull. Aust. Math. Soc. 106, No. 2, 269-272 (2022). Reviewer: Ilker Inam (Bilecik) MSC: 11F11 11E25 11F20 11F27 PDF BibTeX XML Cite \textit{Z. S. Aygin} and \textit{K. S. Williams}, Bull. Aust. Math. Soc. 106, No. 2, 269--272 (2022; Zbl 1501.11056) Full Text: DOI
Sun, Zhi-Hong Congruences for certain families of Apéry-like sequences. (English) Zbl 07584107 Czech. Math. J. 72, No. 3, 875-912 (2022). MSC: 05A10 05A19 11A07 11B68 11E25 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Czech. Math. J. 72, No. 3, 875--912 (2022; Zbl 07584107) Full Text: DOI
Hur, Youngmi; Lubberts, Zachary; Okoudjou, Kasso A. Multivariate tight wavelet frames with few generators and high vanishing moments. (English) Zbl 1500.42019 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 5, Article ID 2250009, 27 p. (2022). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C40 42C15 PDF BibTeX XML Cite \textit{Y. Hur} et al., Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 5, Article ID 2250009, 27 p. (2022; Zbl 1500.42019) Full Text: DOI arXiv
Bal, Hartosh Singh; Bhatnagar, Gaurav The partition-frequency enumeration matrix. (English) Zbl 1505.11133 Ramanujan J. 59, No. 1, 51-86 (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11P81 11P83 11A25 05A17 PDF BibTeX XML Cite \textit{H. S. Bal} and \textit{G. Bhatnagar}, Ramanujan J. 59, No. 1, 51--86 (2022; Zbl 1505.11133) Full Text: DOI arXiv
Brooks, Jennifer; Grundmeier, Dusty; Schenck, Hal Algebraic properties of Hermitian sums of squares. II. (English) Zbl 1496.32002 Proc. Am. Math. Soc. 150, No. 8, 3471-3476 (2022). MSC: 32A08 32A17 32H35 PDF BibTeX XML Cite \textit{J. Brooks} et al., Proc. Am. Math. Soc. 150, No. 8, 3471--3476 (2022; Zbl 1496.32002) Full Text: DOI arXiv
Lin, Wang; Yang, Zhengfeng; Ding, Zuohua Reachable set estimation and safety verification of nonlinear systems via iterative sums of squares programming. (English) Zbl 1495.93013 J. Syst. Sci. Complex. 35, No. 3, 1154-1172 (2022). MSC: 93B03 93C10 93C15 PDF BibTeX XML Cite \textit{W. Lin} et al., J. Syst. Sci. Complex. 35, No. 3, 1154--1172 (2022; Zbl 1495.93013) Full Text: DOI
Qin, Hourong Congruent numbers, quadratic forms and \(K_2\). (English) Zbl 1503.11141 Math. Ann. 383, No. 3-4, 1647-1686 (2022). Reviewer: Kevin Hutchinson (Dublin) MSC: 11R70 11E25 11G05 PDF BibTeX XML Cite \textit{H. Qin}, Math. Ann. 383, No. 3--4, 1647--1686 (2022; Zbl 1503.11141) Full Text: DOI
Laurent, Monique; Vargas, Luis Felipe On the exactness of sum-of-squares approximations for the cone of \(5 \times 5\) copositive matrices. (English) Zbl 1493.90127 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 1493.90127) Full Text: DOI arXiv
Hu, Sheng-Long Certifying the global optimality of quartic minimization over the sphere. (English) Zbl 1513.13056 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 1513.13056) Full Text: DOI
Escorcielo, Paula; Perrucci, Daniel A few more extensions of Putinar’s Positivstellensatz to non-compact sets. (English) Zbl 1498.12001 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 1498.12001) Full Text: DOI arXiv
Dickmann, M.; Miraglia, F.; Ribeiro, H. Special groups and quadratic forms over rings with non-zero-divisor coefficients. (English) Zbl 1501.11055 Fundam. Math. 258, No. 2, 153-209 (2022). Reviewer: Adam Chapman (Tel Hai) 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 1501.11055) Full Text: DOI
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 1497.11091 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 1497.11091) Full Text: DOI Link
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 1505.11068 Math. Notes 111, No. 5, 736-746 (2022); translation from Mat. Zametki 111, No. 5, 726-737 (2022). Reviewer: Meinhard Peters (Münster) 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 1505.11068); translation from Mat. Zametki 111, No. 5, 726--737 (2022) Full Text: DOI
Ngoc Hoang Anh Mai; Lasserre, Jean-Bernard; Magron, Victor Positivity certificates and polynomial optimization on non-compact semialgebraic sets. (English) Zbl 1494.90073 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 1494.90073) Full Text: DOI arXiv