Albano, Paolo On the propagation of flatness for second order hypoelliptic operators. (English) Zbl 07971469 J. Differ. Equations 416, Part 2, 1380-1389 (2025). MSC: 35B05 35B45 35B60 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Bach, Francis Sum-of-squares relaxations for polynomial min-max problems over simple sets. (English) Zbl 07969255 Math. Program. 209, No. 1-2 (A), 475-501 (2025). MSC: 90C22 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Debus, Sebastian; Goel, Charu; Kuhlmann, Salma; Riener, Cordian On nonnegative invariant quartics in type \(A\). (English) Zbl 07955776 J. Symb. Comput. 128, Article ID 102393, 12 p. (2025). MSC: 14P10 14Q30 20F55 12D15 13A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krishnan, Pushpa On evaluation of convolution sums involving divisor functions and partition functions. (English) Zbl 07938194 Vietnam J. Math. 53, No. 1, 51-72 (2025). MSC: 11A25 11E20 11E25 11F20 11M36 11P83 × Cite Format Result Cite Review PDF Full Text: DOI
Ottaviani, Giorgio; Teixeira Turatti, Ettore Generalized identifiability of sums of squares. (English) Zbl 07938144 J. Algebra 661, 641-656 (2025). Reviewer: Raquel Mallavibarrena (Madrid) MSC: 14N07 14N05 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Metzlaff, Tobias On symmetry adapted bases in trigonometric optimization. (English) Zbl 07923139 J. Symb. Comput. 127, Article ID 102369, 19 p. (2025). MSC: 13A50 33B10 90C23 × Cite Format Result Cite Review PDF Full Text: DOI
Laplagne, Santiago; Valdettaro, Marcelo Strictly positive polynomials in the boundary of the SOS cone. (English) Zbl 07923136 J. Symb. Comput. 127, Article ID 102359, 26 p. (2025). Reviewer: Jose Capco (Linz) MSC: 13D02 13P10 14P99 14Q30 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mandal, Priyabrata On the non-reality of totally positive fields. (English) Zbl 07907978 Int. J. Math. Comput. Sci. 20, No. 1, 183-185 (2025). MSC: 11E10 11E81 12D15 16K20 × Cite Format Result Cite Review PDF Full Text: DOI
Mukherjee, Arijit; Sutradhar, Arindam Gram-like matrix preserving extensions of noncommutative polynomials to sum of Hermitian Squares. arXiv:2501.12063 Preprint, arXiv:2501.12063 [math.OC] (2025). MSC: 14P05 14N25 13D02 05C50 11E25 90C90 × Cite Format Result Cite Full Text: arXiv OA License
Guo, Feng; Wang, Jie Positivstellensätze for polynomial matrices with universal quantifiers. arXiv:2501.03470 Preprint, arXiv:2501.03470 [math.OC] (2025). MSC: 90C23 15A54 13J30 14P10 11E25 12D15 × Cite Format Result Cite Full Text: arXiv
Eum, Ick Sun Representation numbers by quadratic forms of certain levels. (English) Zbl 07960128 J. Korean Math. Soc. 61, No. 6, 1127-1143 (2024). MSC: 11E25 11E45 11F11 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Yong; Liu, Jing; Tian, Yisheng Strong approximation and Hasse principle for integral quadratic forms over affine curves. (English) Zbl 07958567 Acta Arith. 216, No. 3, 277-289 (2024). MSC: 11E04 11E25 11E57 20G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bringmann, Kathrin; Jang, Min-Joo; Kane, Ben; Tse, Alvin Cheuk Hin Representations of integers as sums of four polygonal numbers and partial theta functions. (English) Zbl 07950688 Res. Math. Sci. 11, No. 4, Paper No. 71, 27 p. (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E45 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Park, Dayoon Completing an universal \(m\)-gonal form with a closing unary piece-gonal form with a closing unary piece. (English) Zbl 07948206 Res. Number Theory 10, No. 4, Paper No. 92, 16 p. (2024). MSC: 11E25 11D85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Araújo, Gabriel; Ferra, Igor A.; Ragognette, Luis F. Global hypoellipticity of sums of squares on compact manifolds. (English) Zbl 07943193 J. Inst. Math. Jussieu 23, No. 5, 2405-2439 (2024). MSC: 35H10 35R01 35R03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
She, Yue-Feng; Zhou, Guang-Liang Numbers represented by restricted sums of four squares. (English) Zbl 07941294 Rocky Mt. J. Math. 54, No. 4, 1141-1147 (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11D85 20G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Gauthier, Claude On algebraic entangled algebras and fields. (English) Zbl 07940137 JP J. Algebra Number Theory Appl. 63, No. 5, 413-434 (2024). MSC: 08A05 12F05 12D15 11R52 30E20 81P40 × Cite Format Result Cite Review PDF Full Text: DOI
Kotschick, D. The geometry of numbers. (Geometrie der Zahlen.) (German) Zbl 07937633 Elem. Math. 79, No. 3, 98-108 (2024). Reviewer: Martin Lukarevski (Štip) MSC: 52A10 11H99 52-01 51M05 51-01 11-02 × Cite Format Result Cite Review PDF Full Text: DOI
Schweighofer, Markus; Vargas, Luis Felipe Sum-of-squares certificates for copositivity via test states. (English) Zbl 07932028 SIAM J. Appl. Algebra Geom. 8, No. 4, 797-820 (2024). MSC: 12D15 05C31 05C69 13J30 15Bxx 14P10 90C22 90C23 90C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Korobenko, Lyudmila; Sawyer, Eric Sums of squares. III: Hypoellipticity in the infinitely degenerate regime. (English) Zbl 07928000 Rev. Mat. Iberoam. 40, No. 4, 1249-1292 (2024). MSC: 35B65 35J70 35H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bove, Antonio; Chinni, Gregorio On a sum of squares operator related to the Schrödinger equation with a magnetic field. (English) Zbl 07925464 Ann. Mat. Pura Appl. (4) 203, No. 5, 2037-2055 (2024). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 35H10 35H20 35B65 35A20 35A27 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Julia Q. D.; Tang, Dazhao Proofs of some conjectural Hurwitz type identities for three squares due to Cooper and Hirschhorn. (English) Zbl 07922123 J. Math. Anal. Appl. 539, No. 1, Part 1, Article ID 128525, 20 p. (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11P83 05A17 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chunlin Positive density subsets in amenable groups. (English) Zbl 07920477 J. Dyn. Differ. Equations 36, No. 3, 2283-2288 (2024). MSC: 37A44 28D15 11E25 × Cite Format Result Cite Review PDF Full Text: DOI
di Dio, Philipp J. On positivity preservers with constant coefficients and their generators. (English) Zbl 07920075 J. Algebra 660, 882-907 (2024). MSC: 44A60 22E65 22E66 17B65 47A57 12D15 47B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nullwala, Murtuza; Garge, Anuradha S. Matrices as a diagonal quadratic form over rings of integers of certain quadratic number fields. (English) Zbl 07916014 Linear Multilinear Algebra 72, No. 12, 2069-2089 (2024). MSC: 11E25 15A24 15B33 11A05 × Cite Format Result Cite Review PDF Full Text: DOI
Costa, Renato Dias Gaps on the intersection numbers of sections on a rational elliptic surface. (English) Zbl 07909687 Beitr. Algebra Geom. 65, No. 3, 573-599 (2024). MSC: 14J27 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Ishan; Sarkar, Amites Sums of two squares visualized. (English) Zbl 07906849 Am. Math. Mon. 131, No. 7, 558-565 (2024). Reviewer: Rusen Li (Xiangtan) MSC: 11A41 11A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manzano-Flores, Gonzalo Sums of squares in function fields over Henselian discretely valued fields. (English) Zbl 07905689 J. Pure Appl. Algebra 228, No. 12, Article ID 107756, 16 p. (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 12D15 12J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramakrishnan, B.; Vaishya, Lalit Figurate numbers, forms of mixed type, and their representation numbers. (English) Zbl 07904948 Ramanujan J. 64, No. 4, 1261-1284 (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F11 11F30 11E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Idrissi, Marouane Il; Bousquet, Nicolas; Gamboa, Fabrice; Iooss, Bertrand; Loubes, Jean-Michel Quantile-constrained Wasserstein projections for robust interpretability of numerical and machine learning models. (English) Zbl 07904141 Electron. J. Stat. 18, No. 2, 2721-2770 (2024). MSC: 62F35 49K40 68T01 62H30 62P30 62P99 41A10 97R30 11E25 49Q12 65F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Granville, Andrew; Sedunova, Alisa; Sabuncu, Cihan The multiplication table constant and sums of two squares. (English) Zbl 07903830 Acta Arith. 214, 499-522 (2024). Reviewer: Péter Pál Pach (Budapest) MSC: 11N37 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maynard, James A note on integers expressible as the sum of three squares of primes. (English) Zbl 07903825 Acta Arith. 214, 399-419 (2024). MSC: 11N05 11N35 × Cite Format Result Cite Review PDF Full Text: DOI
Choudhry, Ajai; Maji, Bibekananda Finite sequences of integers expressible as sums of two squares. (English) Zbl 1548.11063 Int. J. Number Theory 20, No. 7, 1755-1766 (2024). MSC: 11D09 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baro, E.; Fernando, José F.; Gamboa, J. M. Rings of differentiable semialgebraic functions. (English) Zbl 07902506 Sel. Math., New Ser. 30, No. 4, Paper No. 71, 56 p. (2024). Reviewer: José Javier Etayo (Madrid) MSC: 14P10 46E25 12D15 13E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De las Cuevas, Gemma; Klingler, Andreas; Netzer, Tim Polynomial decompositions with invariance and positivity inspired by tensors. (English) Zbl 1546.15012 Linear Algebra Appl. 698, 537-588 (2024). MSC: 15A69 14N07 11E25 13A50 81V70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Russell, Oliver; Sun, Wei Using sums-of-squares to prove Gaussian product inequalities. (English) Zbl 1545.60025 Depend. Model. 12, Article ID 20240003, 13 p. (2024). MSC: 60E15 62H12 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mula, Olga; Nouy, Anthony Moment-SoS methods for optimal transport problems. (English) Zbl 1545.49046 Numer. Math. 156, No. 4, 1541-1578 (2024). MSC: 49Q22 49M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yanqiu; Ilyin, Michael Sparse distribution of lattice points in annular regions. (English) Zbl 07894721 J. Number Theory 264, 277-294 (2024). MSC: 11P21 11K06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kimmel, Noam; Kuperberg, Vivian Consecutive runs of sums of two squares. (English) Zbl 07894716 J. Number Theory 264, 135-147 (2024). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11N05 11N36 11N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Charu; Hess, Sarah; Kuhlmann, Salma Cones between the cones of positive semidefinite forms and sums of squares. (English) Zbl 1543.11041 Adv. Geom. 24, No. 3, 357-367 (2024). MSC: 11E25 11E76 14A10 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Al-Assad, Hafez A generalisation of Legendre’s three-square theorem. (Russian. English summary) Zbl 1541.11036 Chebyshevskiĭ Sb. 25, No. 1(92), 127-137 (2024). MSC: 11E25 14G25 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Chirkov, M. A. On the growth function of \(n\)-valued dynamics. (English. Russian original) Zbl 1545.14035 Math. Notes 115, No. 3, 420-426 (2024); translation from Mat. Zametki 115, No. 3, 458-465 (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 12D15 37J70 × Cite Format Result Cite Review PDF Full Text: DOI
He, Bing Hecke-type series involving infinite products. (English) Zbl 1543.05007 Eur. J. Comb. 120, Article ID 103959, 20 p. (2024). MSC: 05A19 11E25 11P81 11B83 11B75 05A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blomer, Valentin; Brumley, Farrell Simultaneous equidistribution of toric periods and fractional moments of \(L\)-functions. (English) Zbl 07875498 J. Eur. Math. Soc. (JEMS) 26, No. 8, 2745-2796 (2024). Reviewer: Sami Omar (Sukhair) MSC: 11F67 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jakimczuk, Rafael A general formula in composition theory. (English) Zbl 1548.11017 Math. Slovaca 74, No. 3, 577-586 (2024). MSC: 11A25 11E25 05A15 11B75 11P81 × Cite Format Result Cite Review PDF Full Text: DOI
Blekherman, Grigoriy; Chen, Justin; Jung, Jaewoo Sums of squares, Hankel index and almost real rank. (English) Zbl 1544.14058 Forum Math. Sigma 12, Paper No. e70, 21 p. (2024). Reviewer: Simone Naldi (Limoges) MSC: 14P99 13J30 14H99 52A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Niu, Yi-Shuai; Le Thi, Hoai An; Pham, Dinh Tao On difference-of-SOS and difference-of-convex-SOS decompositions for polynomials. (English) Zbl 07860641 SIAM J. Optim. 34, No. 2, 1852-1878 (2024). MSC: 12Dxx 65K05 90C22 90C25 90C26 90C30 90C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deutsch, Jesse Ira Near universal property of a quadratic form of Hessian discriminant 4. (English) Zbl 07858264 Quaest. Math. 47, No. 5, 1055-1061 (2024). Reviewer: Pavlo Yatsyna (Espoo) MSC: 11E25 11D57 × Cite Format Result Cite Review PDF Full Text: DOI
Bobkov, S. G. On the remainder term in the approximate Fourier inversion formula for distribution functions. (English. Russian original) Zbl 1540.42010 J. Math. Sci., New York 281, No. 4, 566-583 (2024); translation from Probl. Mat. Anal. 127, 83-96 (2024). MSC: 42A38 60E05 11E25 × Cite Format Result Cite Review PDF Full Text: DOI
Hanselka, Christoph; Kummer, Mario Positive Ulrich sheaves. (English) Zbl 1544.14056 Can. J. Math. 76, No. 3, 881-914 (2024). Reviewer: Yeongrak Kim (Busan) MSC: 14P05 14J60 14M12 12D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Zhaonan; Deng, Yingpu Finding sums of four squares via complex continued fractions. (English) Zbl 1547.11051 Integers 24, Paper A25, 15 p. (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11A55 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Dutta, Pranjal; Saxena, Nitin; Thierauf, Thomas Weighted sum-of-squares lower bounds for univariate polynomials imply \(\mathsf{VP} \neq \mathsf{VNP}\). (English) Zbl 07851987 Comput. Complexity 33, No. 1, Paper No. 3, 54 p. (2024). MSC: 03D15 68Q17 11E25 12Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Horváth, Márton Cubic sublattices. (English) Zbl 1539.52013 Discrete Comput. Geom. 71, No. 4, 1369-1380 (2024). MSC: 52C07 11H06 11R52 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Singhal, Kush Near-miss identities and spinor genus classification of ternary quadratic forms with congruence conditions. (English) Zbl 07850232 Int. J. Number Theory 20, No. 4, 951-993 (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E45 11F37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaudhury, Srijonee Shabnam Sums of squares of integral multiples of an integral element of real bi-quadratic fields. (English) Zbl 07846616 Ramanujan J. 64, No. 2, 419-451 (2024). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11R16 11R80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alzalg, Baha; Benakkouche, Lilia The nonconvex second-order cone: algebraic structure toward optimization. (English) Zbl 1546.90176 J. Optim. Theory Appl. 201, No. 2, 631-667 (2024). MSC: 90C26 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Schmüdgen, Konrad; Schötz, Matthias Positivstellensätze for semirings. (English) Zbl 1541.13026 Math. Ann. 389, No. 1, 947-985 (2024). Reviewer: Lorenzo Baldi (Leipzig) MSC: 13J30 12D15 14P10 44A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yao, Olivia X. M. New congruences modulo 9 for the coefficients of Gordon-McIntosh’s mock theta function \(\xi (q)\). (English) Zbl 07841636 Quaest. Math. 47, No. 2, 239-248 (2024). Reviewer: Mircea Merca (București) MSC: 11P83 05A17 × Cite Format Result Cite Review PDF Full Text: DOI
Gorodetsky, Ofir Magic squares, the symmetric group and Möbius randomness. (English) Zbl 1537.60012 Monatsh. Math. 204, No. 1, 27-46 (2024). MSC: 60B20 05E05 05A15 05E10 11K65 11L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guth, Larry; Maldague, Dominique; Wang, Hong Improved decoupling for the parabola. (English) Zbl 1536.42006 J. Eur. Math. Soc. (JEMS) 26, No. 3, 875-917 (2024). MSC: 42B10 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nullwala, Murtuza; Garge, Anuradha S. Universality of certain diagonal quadratic forms for matrices over a ring of integers. (English) Zbl 1548.11071 Indian J. Pure Appl. Math. 55, No. 1, 54-68 (2024). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 15A24 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Bove, Antonio Analytic and Gevrey regularity for certain sums of two squares in two variables. (English) Zbl 1537.35160 Tôhoku Math. J. (2) 76, No. 1, 1-85 (2024). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 35H10 35H20 35B65 35A20 35A27 × Cite Format Result Cite Review PDF Full Text: DOI
Dospolova, Mariia; Kochetkova, Ekaterina; Mortenson, Eric T. A new Andrews-Crandall-type identity and the number of integer solutions to \(x^2 +2y^2 +2z^2 =n\). (English) Zbl 1544.11040 Ramanujan J. 63, No. 4, 969-994 (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11B65 05A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferguson, Andrew; Ottaviani, Giorgio; Safey el Din, Mohab; Teixeira Turatti, Ettore On the degree of varieties of sum of squares. (English) Zbl 07821460 J. Pure Appl. Algebra 228, No. 7, Article ID 107638, 15 p. (2024). MSC: 14N07 14N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laplagne, Santiago Sum of squares decomposition of positive polynomials with rational coefficients. (English) Zbl 1541.14082 J. Pure Appl. Algebra 228, No. 7, Article ID 107631, 8 p. (2024). Reviewer: Jose Capco (Linz) MSC: 14P99 90C22 13P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mughetti, Marco Some advances in analytic hypoellipticity. (English) Zbl 1534.35078 “Bruno Pini” Mathematical Analysis Seminar 2023. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 101-128 (2024). MSC: 35H10 35H20 35B65 35A20 35A27 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Wei; Wang, Weijia; Zhang, Hao A structure theorem for the restricted sum of four squares. (English) Zbl 1543.11042 Finite Fields Appl. 95, Article ID 102398, 17 p. (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Zichen Universal sums of triangular numbers and squares. (English) Zbl 1543.11043 J. Number Theory 259, 1-15 (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F27 11F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Münkel, Florian; Pehlivan, Lerna; Williams, Kenneth S. Infinite product representations of some \(q\)-series. (English) Zbl 1533.05028 Ramanujan J. 63, No. 3, 839-872 (2024). MSC: 05A19 05A15 05A30 11D85 11E25 × Cite Format Result Cite Review PDF Full Text: DOI
Baldi, Lorenzo; Slot, Lucas Degree bounds for Putinar’s Positivstellensatz on the hypercube. (English) Zbl 1548.13060 SIAM J. Appl. Algebra Geom. 8, No. 1, 1-25 (2024). MSC: 13J30 14P10 90C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Marteau-Ferey, Ulysse; Bach, Francis; Rudi, Alessandro Second order conditions to decompose smooth functions as sums of squares. (English) Zbl 1540.90218 SIAM J. Optim. 34, No. 1, 616-641 (2024). MSC: 90C26 58C05 53A99 90C56 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jeronimo, Gabriela; Perrucci, Daniel Rational certificates of non-negativity on semialgebraic subsets of cylinders. (English) Zbl 07808743 J. Pure Appl. Algebra 228, No. 6, Article ID 107596, 12 p. (2024). Reviewer: Aris Daniilidis (Wien) MSC: 12D15 13J30 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Becher, Karim Johannes; Zaninelli, Marco Bounding the Pythagoras number of a field by \(2^n +1\). (English) Zbl 1544.11039 J. Pure Appl. Algebra 228, No. 6, Article ID 107573, 17 p. (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Błachut, Kacper; Kowalczyk, Tomasz Sums of squares on hypersurfaces. (English) Zbl 1548.14175 Result. Math. 79, No. 2, Paper No. 90, 11 p. (2024). MSC: 14P05 26C99 90C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Liping; Lin, Bernard L. S. Proofs of some conjectures of Sun on representations by linear combinations of triangular numbers. (English) Zbl 1543.11039 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 17, 18 p. (2024). Reviewer: Zhihong Sun (Huaian) MSC: 11D85 11E25 × Cite Format Result Cite Review PDF Full Text: DOI
Banerjee, Soumyarup On a conjecture of Sun about sums of restricted squares. (English) Zbl 07794613 J. Number Theory 256, 253-289 (2024). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11F37 11N35 11N36 11P32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thompson, Katherine The sum of four squares over real quadratic number fields. (English) Zbl 1547.11050 Int. J. Number Theory 20, No. 1, 47-72 (2024). Reviewer: Pavlo Yatsyna (Espoo) MSC: 11E12 11E25 11E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Becher, Karim Johannes; Grimm, David Nonsplit conics in the reduction of an arithmetic curve. (English) Zbl 07780720 Math. Z. 306, No. 1, Paper No. 12, 16 p. (2024). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12D15 12J10 12J25 14H05 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mandal, P.; Preeti, R.; Soman, A. Totally positive field extensions and the Pythagorean index. (English) Zbl 1535.12001 J. Algebra Appl. 23, No. 2, Article ID 2450034, 15 p. (2024). Reviewer: Detlev Hoffmann (Dortmund) MSC: 12D15 11E10 11E81 12F10 16K20 16W10 × Cite Format Result Cite Review PDF Full Text: DOI
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 1528.15026 Linear Algebra Appl. 680, 1-27 (2024). Reviewer: Ali Shukur (Kufa) MSC: 15B35 15A18 05C50 × Cite Format Result Cite Review PDF 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). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N64 11T24 11T55 15B05 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Kaczorowski, Jerzy; Ratajczak, Waldemar; Nijkamp, Peter; Górnisiewicz, Krzysztof Economic hierarchical spatial systems – new properties of Löschian numbers. (English) Zbl 1545.11034 Appl. Math. Comput. 461, Article ID 128319, 11 p. (2024). MSC: 11E25 11D09 91B72 91D20 11N37 52C15 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Guo-Shuai; Schlosser, Michael J. Supercongruences involving Domb numbers and binary quadratic forms. (English) Zbl 1530.11004 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 11, 14 p. (2024). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11B83 11E16 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davis, Maria M.; Papp, Dávid Rational dual certificates for weighted sums-of-squares polynomials with boundable bit size. (English) Zbl 1533.90077 J. Symb. Comput. 121, Article ID 102254, 27 p. (2024). MSC: 90C23 14Q30 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Filaseta, Michael; Klein, Jonah; Sabuncu, Cihan On extreme values of \(r_3(n)\) in arithmetic progressions. arXiv:2412.01988 Preprint, arXiv:2412.01988 [math.NT] (2024). MSC: 11E25 11E20 11N37 × Cite Format Result Cite Full Text: arXiv OA License
Sun, Zhi-Wei New results similar to Lagrange’s four-square theorem. arXiv:2411.14308 Preprint, arXiv:2411.14308 [math.NT] (2024). MSC: 11B13 11E20 11E25 11D85 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Goel, Charu; Hess, Sarah; Kuhlmann, Salma Separating Cones defined by Toric Varieties: Some Properties and Open Problems. arXiv:2411.06468 Preprint, arXiv:2411.06468 [math.AG] (2024). MSC: 11E25 11E76 14A10 14P10 × Cite Format Result Cite Full Text: arXiv OA License
Flores, Daniel Existence of \(K\)-multimagic squares and magic squares of \(k\)th powers with distinct entries. arXiv:2411.01091 Preprint, arXiv:2411.01091 [math.NT] (2024). MSC: 11D45 11D72 11P55 11E76 11L07 05B15 05B20 × Cite Format Result Cite Full Text: arXiv
Kala, Vitezslav; Krásenský, Jakub; Romeo, Giuliano Universality criterion sets for quadratic forms over number fields. arXiv:2410.22507 Preprint, arXiv:2410.22507 [math.NT] (2024). MSC: 11E12 11E20 11E25 11R04 11R80 × Cite Format Result Cite Full Text: arXiv OA License
Benoist, Olivier On the field of meromorphic functions on a Stein surface. arXiv:2410.16809 Preprint, arXiv:2410.16809 [math.AG] (2024). MSC: 32E10 32A20 12G05 12J15 11E25 × Cite Format Result Cite Full Text: arXiv
Bulkhali, Nasser Abdo Saeed; Sun, Zhi-Wei Universal sums via products of Ramanujan’s theta functions. arXiv:2410.14605 Preprint, arXiv:2410.14605 [math.NT] (2024). MSC: 11D72 11E20 11E25 11F27 14H42 × Cite Format Result Cite Full Text: arXiv OA License
Hu, Yong; Liu, Jing; Xu, Fei Integral Springer Theorem for Quadratic Lattices under Base Change of Odd Degree. arXiv:2410.10311 Preprint, arXiv:2410.10311 [math.NT] (2024). MSC: 11E04 11E12 11E25 11E57 20G35 × Cite Format Result Cite Full Text: arXiv OA License
Doležálek, Matěj Generalizing Hurwitz’s quaternionic proof of Lagrange’s and Jacobi’s four-square theorems. arXiv:2409.16970 Preprint, arXiv:2409.16970 [math.NT] (2024). MSC: 11R52 11E12 11E25 11R80 × Cite Format Result Cite Full Text: arXiv OA License
Blekherman, Grigoriy; Sinn, Rainer; Smith, Gregory G.; Velasco, Mauricio Nonnegativity certificates on real algebraic surfaces. arXiv:2409.08834 Preprint, arXiv:2409.08834 [math.AG] (2024). MSC: 14J26 14P05 12D15 × Cite Format Result Cite Full Text: arXiv OA License
Chwiedziuk, Ondřej; Doležálek, Matěj; Hlavinková, Simona; Pěchoučková, Emma; Pezlar, Zdeněk; Prakash, Om; Růžičková, Anna; Zindulka, Mikuláš No proper generalized quadratic forms are universal over quadratic fields. arXiv:2409.07941 Preprint, arXiv:2409.07941 [math.NT] (2024). MSC: 11E12 11E20 11E25 11R11 11R27 11R80 × Cite Format Result Cite Full Text: arXiv OA License
Sun, Zhi-Hong Congruences for the Apéry numbers modulo \(p^3\). arXiv:2409.06544 Preprint, arXiv:2409.06544 [math.NT] (2024). MSC: 11A07 05A10 05A19 11B68 11E25 × Cite Format Result Cite Full Text: arXiv OA License
Baier, Stephan; Chattopadhyay, Aishik Small solutions of generic ternary quadratic congruences to general moduli. arXiv:2408.15360 Preprint, arXiv:2408.15360 [math.NT] (2024). MSC: 11D79 11E04 11E25 11L40 11T24 × Cite Format Result Cite Full Text: arXiv OA License
Sun, Zhi-Hong; Ye, Dongxi Supercongruences via Beukers’ method. arXiv:2408.09776 Preprint, arXiv:2408.09776 [math.NT] (2024). MSC: 11A07 11B65 11E25 11F03 11F20 × Cite Format Result Cite Full Text: arXiv OA License
Akbary, Amir; Totani, Yash Binary quadratic forms of odd class number. arXiv:2408.00184 Preprint, arXiv:2408.00184 [math.NT] (2024). MSC: 11E25 11E45 × Cite Format Result Cite Full Text: arXiv
Sun, Zhi-Hong Elliptic curves and the residue-counts of \(x^2+bx+c/x\) modulo \(p\). arXiv:2407.15432 Preprint, arXiv:2407.15432 [math.NT] (2024). MSC: 11A15 11A07 11E25 11L10 11G20 × Cite Format Result Cite Full Text: arXiv OA License