Katthän, Lukas; Naumann, Helen; Theobald, Thorsten A unified framework of SAGE and SONC polynomials and its duality theory. (English) Zbl 07328922 Math. Comput. 90, No. 329, 1297-1322 (2021). MSC: 14P05 90C30 52A20 12D15 PDF BibTeX XML Cite \textit{L. Katthän} et al., Math. Comput. 90, No. 329, 1297--1322 (2021; Zbl 07328922) Full Text: DOI
Chan, Wai Kiu; Icaza, María Inés Hermite reduction and a Waring’s problem for integral quadratic forms over number fields. (English) Zbl 07319113 Trans. Am. Math. Soc. 374, No. 4, 2967-2985 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E12 11E25 11E39 PDF BibTeX XML Cite \textit{W. K. Chan} and \textit{M. I. Icaza}, Trans. Am. Math. Soc. 374, No. 4, 2967--2985 (2021; Zbl 07319113) Full Text: DOI
Grimm, David; Leep, David B. Hereditarily non-Pythagorean fields. (English) Zbl 07318824 J. Algebra 574, 434-452 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 12D15 11E25 11R04 12F05 12F15 PDF BibTeX XML Cite \textit{D. Grimm} and \textit{D. B. Leep}, J. Algebra 574, 434--452 (2021; Zbl 07318824) Full Text: DOI
Ye, Dongxi Proof of a conjecture of Cooper. (English) Zbl 07318728 J. Number Theory 222, 38-47 (2021). MSC: 11E25 11F11 PDF BibTeX XML Cite \textit{D. Ye}, J. Number Theory 222, 38--47 (2021; Zbl 07318728) Full Text: DOI
Gondard-Cozette, Danielle Number of connected components of a real variety and \(\mathbb{R}\)-places. (Nombre de composantes connexes d’une variete reelle et \(\mathbb{R}\)-places.) (French. English summary) Zbl 07317145 J. Pure Appl. Algebra 225, No. 7, Article ID 106611, 13 p. (2021). MSC: 12D15 14P25 12J10 14Q20 PDF BibTeX XML Cite \textit{D. Gondard-Cozette}, J. Pure Appl. Algebra 225, No. 7, Article ID 106611, 13 p. (2021; Zbl 07317145) Full Text: DOI
Escorcielo, Paula; Perrucci, Daniel On sum of squares certificates of non-negativity on a strip. (English) Zbl 07317141 J. Pure Appl. Algebra 225, No. 7, Article ID 106607, 22 p. (2021). MSC: 12D15 13J30 14P10 PDF BibTeX XML Cite \textit{P. Escorcielo} and \textit{D. Perrucci}, J. Pure Appl. Algebra 225, No. 7, Article ID 106607, 22 p. (2021; Zbl 07317141) Full Text: DOI
Dressler, Mareike Real zeros of SONC polynomials. (English) Zbl 07317136 J. Pure Appl. Algebra 225, No. 7, Article ID 106602, 24 p. (2021). MSC: 12D15 14P05 26C10 11E10 11E25 52B20 90C25 05E99 PDF BibTeX XML Cite \textit{M. Dressler}, J. Pure Appl. Algebra 225, No. 7, Article ID 106602, 24 p. (2021; Zbl 07317136) Full Text: DOI
Mayer, Thorsten Polyhedral faces in Gram spectrahedra of binary forms. (English) Zbl 07309769 Linear Algebra Appl. 608, 133-157 (2021). MSC: 52A20 90C22 14P99 15A PDF BibTeX XML Cite \textit{T. Mayer}, Linear Algebra Appl. 608, 133--157 (2021; Zbl 07309769) Full Text: DOI
Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension. (English) Zbl 07305924 SIAM J. Optim. 31, No. 1, 114-141 (2021). MSC: 90C22 65K05 90C26 05C15 14P10 12D15 PDF BibTeX XML Cite \textit{J. Wang} et al., SIAM J. Optim. 31, No. 1, 114--141 (2021; Zbl 07305924) Full Text: DOI
Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard TSSOS: a moment-SOS hierarchy that exploits term sparsity. (English) Zbl 07305921 SIAM J. Optim. 31, No. 1, 30-58 (2021). MSC: 14P10 90C22 12D15 12Y05 PDF BibTeX XML Cite \textit{J. Wang} et al., SIAM J. Optim. 31, No. 1, 30--58 (2021; Zbl 07305921) Full Text: DOI
Osińska-Ulrych, Beata; Skalski, Grzegorz; Szlachcińska, Anna Łojasiewicz inequality for a pair of semialgebraic functions. (English) Zbl 07300218 Bull. Sci. Math. 166, Article ID 102927, 27 p. (2021). MSC: 14R99 11E25 14P05 32S70 PDF BibTeX XML Cite \textit{B. Osińska-Ulrych} et al., Bull. Sci. Math. 166, Article ID 102927, 27 p. (2021; Zbl 07300218) Full Text: DOI
Kala, Vítězslav; Yatsyna, Pavlo Lifting problem for universal quadratic forms. (English) Zbl 07289458 Adv. Math. 377, Article ID 107497, 25 p. (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11R11 11R18 11H06 11H55 PDF BibTeX XML Cite \textit{V. Kala} and \textit{P. Yatsyna}, Adv. Math. 377, Article ID 107497, 25 p. (2021; Zbl 07289458) Full Text: DOI
Banerjee, Soumyarup; Batavia, Manav; Kane, Ben; Kyranbay, Muratzhan; Park, Dayoon; Saha, Sagnik; So, Hiu Chun; Varyani, Piyush Fermat’s polygonal number theorem for repeated generalized polygonal numbers. (English) Zbl 07276980 J. Number Theory 220, 163-181 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11D85 11E12 11E25 PDF BibTeX XML Cite \textit{S. Banerjee} et al., J. Number Theory 220, 163--181 (2021; Zbl 07276980) Full Text: DOI
Hu, Guangwei; Lü, Guangshi Sums of higher divisor functions. (English) Zbl 07276975 J. Number Theory 220, 61-74 (2021). MSC: 11N37 11E25 11P55 PDF BibTeX XML Cite \textit{G. Hu} and \textit{G. Lü}, J. Number Theory 220, 61--74 (2021; Zbl 07276975) Full Text: DOI
Brown, Ron; Merzel, Jonathan L. The space of \(\mathbb{R}\)-places on a rational function field. (English) Zbl 07262041 J. Algebra 565, 489-512 (2021). MSC: 12J20 12D15 12E30 14P99 PDF BibTeX XML Cite \textit{R. Brown} and \textit{J. L. Merzel}, J. Algebra 565, 489--512 (2021; Zbl 07262041) Full Text: DOI
Henrion, Didier (ed.); Kuhlmann, Salma (ed.); Speicher, Roland (ed.); Vinnikov, Victor (ed.) Real algebraic geometry with a view toward hyperbolic programming and free probability. Abstracts from the workshop held March 1–7, 2020. (English) Zbl 07329563 Oberwolfach Rep. 17, No. 1, 639-712 (2020). MSC: 00B05 00B25 14-06 12-06 14Pxx 12D15 14A22 46L54 52Axx 90C23 93B25 13Pxx 14Qxx 90C22 PDF BibTeX XML Cite \textit{D. Henrion} (ed.) et al., Oberwolfach Rep. 17, No. 1, 639--712 (2020; Zbl 07329563) Full Text: DOI
Ntienjem, Ebénézer Evaluation of convolution sums entailing mixed divisor functions for a class of levels. (English) Zbl 07328079 N. Z. J. Math. 50, 125-180 (2020). MSC: 11A25 11F11 11F20 11E20 11E25 11F27 PDF BibTeX XML Cite \textit{E. Ntienjem}, N. Z. J. Math. 50, 125--180 (2020; Zbl 07328079) Full Text: Link
Sun, Zhi-Hong Representations by linear combinations of triangular numbers. (English) Zbl 07316796 J. Ramanujan Math. Soc. 35, No. 4, 373-389 (2020). MSC: 11D85 11E25 30B10 33E20 PDF BibTeX XML Cite \textit{Z.-H. Sun}, J. Ramanujan Math. Soc. 35, No. 4, 373--389 (2020; Zbl 07316796) Full Text: Link
Rybalov, A. N. On generic complexity of the problem of representation of natural numbers by sum of two squares. (Russian. English summary) Zbl 07312018 Prikl. Diskretn. Mat. 2020, No. 48, 93-99 (2020). MSC: 68 05 PDF BibTeX XML Cite \textit{A. N. Rybalov}, Prikl. Diskretn. Mat. 2020, No. 48, 93--99 (2020; Zbl 07312018) Full Text: DOI MNR
Koda, Genki Representation of the norm of ideals by quadratic forms with congruence conditions. (English) Zbl 07311578 SUT J. Math. 56, No. 1, 21-37 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11R37 11R65 PDF BibTeX XML Cite \textit{G. Koda}, SUT J. Math. 56, No. 1, 21--37 (2020; Zbl 07311578) Full Text: Link
Singh, Anup Kumar; Ye, Dongxi Ramanujan-Mordell type formulas associated to certain quadratic forms of discriminant \(20^k\) or \(32^k\). (English) Zbl 07301248 Indian J. Pure Appl. Math. 51, No. 3, 1083-1096 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F03 11F20 11F11 11E20 PDF BibTeX XML Cite \textit{A. K. Singh} and \textit{D. Ye}, Indian J. Pure Appl. Math. 51, No. 3, 1083--1096 (2020; Zbl 07301248) Full Text: DOI
Escorcielo, Paula; Perrucci, Daniel A version of Putinar’s Positivstellensatz for cylinders. (English) Zbl 07299917 J. Pure Appl. Algebra 224, No. 12, Article ID 106448, 15 p. (2020). MSC: 12D15 13J30 14P10 PDF BibTeX XML Cite \textit{P. Escorcielo} and \textit{D. Perrucci}, J. Pure Appl. Algebra 224, No. 12, Article ID 106448, 15 p. (2020; Zbl 07299917) Full Text: DOI
Basse-O’Connor, Andreas; Pedersen, Jan; Rohde, Victor On infinite divisibility of a class of two-dimensional vectors in the second Wiener chaos. (English) Zbl 07296194 Mod. Stoch., Theory Appl. 7, No. 3, 267-289 (2020). MSC: 60E07 60G15 62H05 62H10 PDF BibTeX XML Cite \textit{A. Basse-O'Connor} et al., Mod. Stoch., Theory Appl. 7, No. 3, 267--289 (2020; Zbl 07296194) Full Text: DOI
Bove, Antonio; Mughetti, Marco Analytic hypoellipticity for sums of squares in the presence of symplectic non Treves strata. (English) Zbl 1454.35055 J. Inst. Math. Jussieu 19, No. 6, 1877-1888 (2020). MSC: 35H10 35H20 35B65 35A20 35A27 PDF BibTeX XML Cite \textit{A. Bove} and \textit{M. Mughetti}, J. Inst. Math. Jussieu 19, No. 6, 1877--1888 (2020; Zbl 1454.35055) Full Text: DOI
Earnest, A. G.; Kim, Ji Young Integral quadratic forms avoiding arithmetic progressions. (English) Zbl 07285854 Int. J. Number Theory 16, No. 10, 2141-2148 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11B25 11E12 11E20 PDF BibTeX XML Cite \textit{A. G. Earnest} and \textit{J. Y. Kim}, Int. J. Number Theory 16, No. 10, 2141--2148 (2020; Zbl 07285854) Full Text: DOI
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru Bilinear forms in Weyl sums for modular square roots and applications. (English) Zbl 07281396 Adv. Math. 375, Article ID 107369, 58 p. (2020). MSC: 11A15 11E25 11K38 11L07 11L20 11N32 PDF BibTeX XML Cite \textit{A. Dunn} et al., Adv. Math. 375, Article ID 107369, 58 p. (2020; Zbl 07281396) Full Text: DOI
Parrilo, Pablo A. (ed.); Thomas, Rekha R. (ed.) Sum of squares: theory and applications. AMS short course, Baltimore, MD, USA, January 14–15, 2019. (English) Zbl 1451.11010 Proceedings of Symposia in Applied Mathematics 77. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5025-0/pbk; 978-1-4704-6040-2/ebook). vii, 142 p. (2020). MSC: 11-06 11E25 14P05 68Q15 00B25 PDF BibTeX XML Cite \textit{P. A. Parrilo} (ed.) and \textit{R. R. Thomas} (ed.), Sum of squares: theory and applications. AMS short course, Baltimore, MD, USA, January 14--15, 2019. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1451.11010) Full Text: DOI
Gath, Yoav A. The solution of the sphere problem for the Heisenberg group. (English) Zbl 07268670 J. Ramanujan Math. Soc. 35, No. 2, 149-157 (2020). MSC: 11P21 11E25 11H16 PDF BibTeX XML Cite \textit{Y. A. Gath}, J. Ramanujan Math. Soc. 35, No. 2, 149--157 (2020; Zbl 07268670) Full Text: Link
Kala, Vítězslav; Yatsyna, Pavlo Sums of squares in \(S\)-integers. (English) Zbl 07258102 New York J. Math. 26, 1145-1154 (2020). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E12 11R11 PDF BibTeX XML Cite \textit{V. Kala} and \textit{P. Yatsyna}, New York J. Math. 26, 1145--1154 (2020; Zbl 07258102) Full Text: Link
Gładki, Paweł; Worytkiewicz, Krzysztof Witt rings of quadratically presentable fields. (English) Zbl 1453.11053 Categ. Gen. Algebr. Struct. Appl. 12, No. 1, 1-23 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 11E81 11E25 06F25 12J15 12D15 PDF BibTeX XML Cite \textit{P. Gładki} and \textit{K. Worytkiewicz}, Categ. Gen. Algebr. Struct. Appl. 12, No. 1, 1--23 (2020; Zbl 1453.11053) Full Text: Link
Sun, Zhi-Hong Congruences involving binomial coefficients and Apéry-like numbers. (English) Zbl 07254825 Publ. Math. 96, No. 3-4, 315-346 (2020). MSC: 11A07 11A15 11B50 11B65 11B68 11E25 11F11 33C45 65Q30 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Publ. Math. 96, No. 3--4, 315--346 (2020; Zbl 07254825) Full Text: DOI
Sun, Zhi-Wei New series for powers of \(\pi\) and related congruences. (English) Zbl 07249992 Electron Res. Arch. 28, No. 3, 1273-1342 (2020). MSC: 11A07 11B65 05A19 11E25 33F10 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Electron Res. Arch. 28, No. 3, 1273--1342 (2020; Zbl 07249992) Full Text: DOI
Krachun, Dmitry; Sun, Zhi-Wei On sums of four pentagonal numbers with coefficients. (English) Zbl 07249485 Electron Res. Arch. 28, No. 1, 559-566 (2020). MSC: 11B13 11E25 11D85 11E20 11P70 PDF BibTeX XML Cite \textit{D. Krachun} and \textit{Z.-W. Sun}, Electron Res. Arch. 28, No. 1, 559--566 (2020; Zbl 07249485) Full Text: DOI
Harutyunyan, Davit A note on the extreme points of the cone of quasiconvex quadratic forms with orthotropic symmetry. (English) Zbl 1440.74104 J. Elasticity 140, No. 1, 79-93 (2020). MSC: 74E30 15A69 49J45 15A63 12D15 12E10 74B05 74B20 PDF BibTeX XML Cite \textit{D. Harutyunyan}, J. Elasticity 140, No. 1, 79--93 (2020; Zbl 1440.74104) Full Text: DOI
Fichou, Goulwen; Monnier, Jean-Philippe; Quarez, Ronan Substitution property for the ring of continuous rational functions. (English) Zbl 1441.14190 Ishikawa, Masaharu (ed.) et al., Singularities – Kagoshima 2017. Proceedings of the 5th Franco-Japanese-Vietnamese symposium on singularities, Kagoshima, Japan, October 27 – November 3, 2017. Hackensack, NJ: World Scientific. 71-93 (2020). MSC: 14P05 14P20 11E25 26C15 PDF BibTeX XML Cite \textit{G. Fichou} et al., in: Singularities -- Kagoshima 2017. Proceedings of the 5th Franco-Japanese-Vietnamese symposium on singularities, Kagoshima, Japan, October 27 -- November 3, 2017. Hackensack, NJ: World Scientific. 71--93 (2020; Zbl 1441.14190) Full Text: DOI
Kreuzer, Martin; Rosenberger, Gerhard On the numbers of the form \(x^2 + 11y^2\). (English) Zbl 07237952 Baginski, Paul (ed.) et al., Elementary theory of groups and group rings, and related topics. Proceedings of the conference held at Fairfield University and at the Graduate Center, CUNY, New York, NY, USA, November 1–2, 2018. Berlin: De Gruyter (ISBN 978-3-11-063673-4/hbk; 978-3-11-063838-7/ebook). De Gruyter Proceedings in Mathematics, 177-202 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11E25 11F06 20F05 20F65 PDF BibTeX XML Cite \textit{M. Kreuzer} and \textit{G. Rosenberger}, in: Elementary theory of groups and group rings, and related topics. Proceedings of the conference held at Fairfield University and at the Graduate Center, CUNY, New York, NY, USA, November 1--2, 2018. Berlin: De Gruyter. 177--202 (2020; Zbl 07237952) Full Text: DOI
Dawson, Robert J. MacG. Partitioning the \(5\times 5\) array into restrictions of circles. (English) Zbl 1450.52011 Contrib. Discrete Math. 15, No. 1, 12-21 (2020). Reviewer: Gabriela Cristescu (Arad) MSC: 52C05 PDF BibTeX XML Cite \textit{R. J. MacG. Dawson}, Contrib. Discrete Math. 15, No. 1, 12--21 (2020; Zbl 1450.52011) Full Text: DOI
Oishi-Tomiyasu, Ryoko Positive-definite ternary quadratic forms with the same representations over \(\mathbb Z\). (English) Zbl 1452.11036 Int. J. Number Theory 16, No. 7, 1493-1534 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E20 11H55 PDF BibTeX XML Cite \textit{R. Oishi-Tomiyasu}, Int. J. Number Theory 16, No. 7, 1493--1534 (2020; Zbl 1452.11036) Full Text: DOI
Sam, Northshield A short proof of Fermat’s two-square theorem. (English) Zbl 1451.11025 Am. Math. Mon. 127, No. 7, 638 (2020). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E41 PDF BibTeX XML Cite \textit{N. Sam}, Am. Math. Mon. 127, No. 7, 638 (2020; Zbl 1451.11025) Full Text: DOI
Hoffmann, Detlev W. Sums of integers and sums of their squares. (English) Zbl 07221819 Acta Arith. 194, No. 3, 295-313 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11D04 11D09 PDF BibTeX XML Cite \textit{D. W. Hoffmann}, Acta Arith. 194, No. 3, 295--313 (2020; Zbl 07221819) Full Text: DOI
Kim, Daejun On a quadratic Waring’s problem with congruence conditions. (English) Zbl 1448.11077 Acta Arith. 194, No. 1, 73-97 (2020). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11E12 11E25 11P05 PDF BibTeX XML Cite \textit{D. Kim}, Acta Arith. 194, No. 1, 73--97 (2020; Zbl 1448.11077) Full Text: DOI
Wu, Hai-Liang; Sun, Zhi-Wei On the 1-3-5 conjecture and related topics. (English) Zbl 07221794 Acta Arith. 193, No. 3, 253-268 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11D85 11E20 11F27 11F37 PDF BibTeX XML Cite \textit{H.-L. Wu} and \textit{Z.-W. Sun}, Acta Arith. 193, No. 3, 253--268 (2020; Zbl 07221794) Full Text: DOI
Bian, Min; Chern, Shane; Sang, Doris D. M.; Xia, Ernest X. W. Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers. (English) Zbl 07219270 Int. J. Number Theory 16, No. 6, 1275-1294 (2020). MSC: 11D85 11E25 PDF BibTeX XML Cite \textit{M. Bian} et al., Int. J. Number Theory 16, No. 6, 1275--1294 (2020; Zbl 07219270) Full Text: DOI
Sun, Zhi-Hong Transformation formulas for the number of representations of \(n\) by linear combinations of four triangular numbers. (English) Zbl 07218766 Bull. Aust. Math. Soc. 102, No. 1, 39-49 (2020). MSC: 11D85 11E20 11E25 30B10 33E20 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Bull. Aust. Math. Soc. 102, No. 1, 39--49 (2020; Zbl 07218766) Full Text: DOI
Després, Bruno; Herda, Maxime Computation of sum of squares polynomials from data points. (English) Zbl 07210679 SIAM J. Numer. Anal. 58, No. 3, 1719-1743 (2020). Reviewer: Markus Schweighofer (Konstanz) MSC: 90C23 11E25 65K05 PDF BibTeX XML Cite \textit{B. Després} and \textit{M. Herda}, SIAM J. Numer. Anal. 58, No. 3, 1719--1743 (2020; Zbl 07210679) Full Text: DOI
Li, Zane Kun Effective \(L^2\) decoupling for the parabola. (English) Zbl 1442.42032 Mathematika 66, No. 3, 681-712 (2020). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B10 11D09 11E25 PDF BibTeX XML Cite \textit{Z. K. Li}, Mathematika 66, No. 3, 681--712 (2020; Zbl 1442.42032) Full Text: DOI
Hu, Guangwei; Jiang, Yujiao; Lü, Guangshi The Fourier coefficients of \(\Theta \)-series in arithmetic progressions. (English) Zbl 07209602 Mathematika 66, No. 1, 39-55 (2020). MSC: 11B25 11E25 11F11 11F30 PDF BibTeX XML Cite \textit{G. Hu} et al., Mathematika 66, No. 1, 39--55 (2020; Zbl 07209602) Full Text: DOI
Cifuentes, Diego; Kahle, Thomas; Parrilo, Pablo Sums of squares in Macaulay2. (English) Zbl 1439.13068 J. Softw. Algebra Geom. 10, 17-24 (2020). MSC: 13J30 13P25 90C22 13-04 PDF BibTeX XML Cite \textit{D. Cifuentes} et al., J. Softw. Algebra Geom. 10, 17--24 (2020; Zbl 1439.13068) Full Text: DOI
Cammarota, Valentina; Klurman, Oleksiy; Wigman, Igor Boundary effect on the nodal length for arithmetic random waves, and spectral semi-correlations. (English) Zbl 1441.60026 Commun. Math. Phys. 376, No. 2, 1261-1310 (2020). MSC: 60G15 58J50 60F05 60G60 11E25 PDF BibTeX XML Cite \textit{V. Cammarota} et al., Commun. Math. Phys. 376, No. 2, 1261--1310 (2020; Zbl 1441.60026) Full Text: DOI
Horiba, Hiroto; Kida, Masanari; Koda, Genki Galois theoretic study on simultaneous representation of primes by binary quadratic forms. (English) Zbl 07202832 J. Number Theory 213, 370-387 (2020). MSC: 11R21 11R32 11E25 PDF BibTeX XML Cite \textit{H. Horiba} et al., J. Number Theory 213, 370--387 (2020; Zbl 07202832) Full Text: DOI
Kim, Myung-Hwan; Oh, Byeong-Kweon; Park, Dayoon Binary quadratic forms represented by sums of squares in an essentially unique way. (English) Zbl 1441.11077 Ramanujan J. 52, No. 2, 445-458 (2020). Reviewer: Anton Shutov (Vladimir) MSC: 11E25 11E45 PDF BibTeX XML Cite \textit{M.-H. Kim} et al., Ramanujan J. 52, No. 2, 445--458 (2020; Zbl 1441.11077) Full Text: DOI
Chu, Hùng Việt On a curious identity of Ramanujan. (English) Zbl 1455.11022 J. Integer Seq. 23, No. 2, Article 20.2.4, 11 p. (2020). Reviewer: Amin Witno (Amman) MSC: 11A67 11E25 PDF BibTeX XML Cite \textit{H. V. Chu}, J. Integer Seq. 23, No. 2, Article 20.2.4, 11 p. (2020; Zbl 1455.11022) Full Text: Link
Lombardi, Henri; Perrucci, Daniel; Roy, Marie-Françoise An elementary recursive bound for effective Positivstellensatz and Hilbert’s 17th problem. (English) Zbl 07196840 Memoirs of the American Mathematical Society 1277. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-470-44108-1/pbk; 978-1-4704-5662-7/ebook). v, 125 p. (2020). MSC: 14-02 12D15 14P99 13J30 PDF BibTeX XML Cite \textit{H. Lombardi} et al., An elementary recursive bound for effective Positivstellensatz and Hilbert's 17th problem. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07196840) Full Text: DOI
Pratt, Kyle Primes from sums of two squares and missing digits. (English) Zbl 1453.11120 Proc. Lond. Math. Soc. (3) 120, No. 6, 770-830 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N05 11N32 11N36 11A63 PDF BibTeX XML Cite \textit{K. Pratt}, Proc. Lond. Math. Soc. (3) 120, No. 6, 770--830 (2020; Zbl 1453.11120) Full Text: DOI
Buckley, Anita; Šivic, Klemen New examples of extremal positive linear maps. (English) Zbl 1440.15017 Linear Algebra Appl. 598, 110-144 (2020). MSC: 15A63 15B48 13J30 15A86 47L07 52A40 PDF BibTeX XML Cite \textit{A. Buckley} and \textit{K. Šivic}, Linear Algebra Appl. 598, 110--144 (2020; Zbl 1440.15017) Full Text: DOI
Brooks, Jennifer; Grundmeier, Dusty Algebraic properties of Hermitian sums of squares. (English) Zbl 07189674 Complex Var. Elliptic Equ. 65, No. 4, 695-712 (2020). MSC: 32V99 12D15 14P05 PDF BibTeX XML Cite \textit{J. Brooks} and \textit{D. Grundmeier}, Complex Var. Elliptic Equ. 65, No. 4, 695--712 (2020; Zbl 07189674) Full Text: DOI
Baruah, Nayandeep Deka; Kaur, Mandeep; Kim, Mingyu; Oh, Byeong-Kweon Proofs of some conjectures of Z. -H. Sun on relations between sums of squares and sums of triangular numbers. (English) Zbl 07187876 Indian J. Pure Appl. Math. 51, No. 1, 11-38 (2020). MSC: 11D85 11E20 11E25 33E20 PDF BibTeX XML Cite \textit{N. D. Baruah} et al., Indian J. Pure Appl. Math. 51, No. 1, 11--38 (2020; Zbl 07187876) Full Text: DOI
Džambić, Amir Jacobi’s four-square theorem and the zeta function of Hurwitz quaternions. (Jacobis Vierquadratesatz und die Zetafunktion der Hurwitz-Quaternionen.) (German) Zbl 1436.11035 Math. Semesterber. 67, No. 1, 27-41 (2020). MSC: 11E25 11R52 PDF BibTeX XML Cite \textit{A. Džambić}, Math. Semesterber. 67, No. 1, 27--41 (2020; Zbl 1436.11035) Full Text: DOI
Oswald, Nicola M. R. Found in the bed – a simple proof of the Eulerian four-squares identity. („im Bett gefunden …“ – ein einfacher Beweis der Eulerschen Vierquadrateidentität.) (German) Zbl 07187502 Math. Semesterber. 67, No. 1, 21-26 (2020). MSC: 01A55 11-03 11E25 PDF BibTeX XML Cite \textit{N. M. R. Oswald}, Math. Semesterber. 67, No. 1, 21--26 (2020; Zbl 07187502) Full Text: DOI
Chen, Dandan; Wang, Liuquan Representations of mock theta functions. (English) Zbl 1437.11062 Adv. Math. 365, Article ID 107037, 72 p. (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11F27 11B65 33D15 11E25 11F11 11P84 PDF BibTeX XML Cite \textit{D. Chen} and \textit{L. Wang}, Adv. Math. 365, Article ID 107037, 72 p. (2020; Zbl 1437.11062) Full Text: DOI
Patane, Frank A proof of Hecke’s formula for binary quadratic forms. (English) Zbl 1436.11034 Int. J. Number Theory 16, No. 2, 233-240 (2020). MSC: 11E16 11E25 11F27 11H55 11R29 PDF BibTeX XML Cite \textit{F. Patane}, Int. J. Number Theory 16, No. 2, 233--240 (2020; Zbl 1436.11034) Full Text: DOI
Sun, Zhi-Wei Universal sums of three quadratic polynomials. (English) Zbl 07177492 Sci. China, Math. 63, No. 3, 501-520 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11D85 11E20 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Sci. China, Math. 63, No. 3, 501--520 (2020; Zbl 07177492) Full Text: DOI
Rebák, Örs Generalization of a Ramanujan identity. (English) Zbl 07147008 Am. Math. Mon. 127, No. 1, 80-83 (2020). Reviewer: Anton Shutov (Vladimir) MSC: 11E25 11Y60 PDF BibTeX XML Cite \textit{Ö. Rebák}, Am. Math. Mon. 127, No. 1, 80--83 (2020; Zbl 07147008) Full Text: DOI
Jiao, Liguo; Lee, Jae Hyoung Fractional optimization problems with support functions: exact SDP relaxations. (English) Zbl 1454.90095 Linear Nonlinear Anal. 5, No. 2, Spec. Iss., 255-268 (2019). MSC: 90C32 90C22 90C25 65K05 PDF BibTeX XML Cite \textit{L. Jiao} and \textit{J. H. Lee}, Linear Nonlinear Anal. 5, No. 2, 255--268 (2019; Zbl 1454.90095) Full Text: Link
Sun, Zhihong Eisenstein and cubic, quartic reciprocity laws. (English) Zbl 07295515 J. Nanjing Univ., Math. Biq. 36, No. 2, 185-200 (2019). MSC: 01A05 11A07 11A15 11E25 PDF BibTeX XML Cite \textit{Z. Sun}, J. Nanjing Univ., Math. Biq. 36, No. 2, 185--200 (2019; Zbl 07295515) Full Text: DOI
Franušić, Zrinka; Jadrijević, Borka \(D(n)\)-quadruples in the ring of integers of \(\mathbb{Q}(\sqrt {2}, \sqrt {3})\). (English) Zbl 07289599 Math. Slovaca 69, No. 6, 1263-1278 (2019). MSC: 11E25 11R16 11Y99 PDF BibTeX XML Cite \textit{Z. Franušić} and \textit{B. Jadrijević}, Math. Slovaca 69, No. 6, 1263--1278 (2019; Zbl 07289599) Full Text: DOI
Williams, Kenneth S. Some formulas of Liouville in the spirit of Gauss. (English) Zbl 1434.11092 Math. Mag. 92, No. 2, 83-90 (2019). MSC: 11E25 11D85 11E20 PDF BibTeX XML Cite \textit{K. S. Williams}, Math. Mag. 92, No. 2, 83--90 (2019; Zbl 1434.11092) Full Text: DOI
Lasserre, Jean B.; Emin, Youssouf Semidefinite relaxations for Lebesgue and Gaussian measures of unions of basic semialgebraic sets. (English) Zbl 1453.90116 Math. Oper. Res. 44, No. 4, 1477-1493 (2019). MSC: 90C22 90C26 14P10 28A75 PDF BibTeX XML Cite \textit{J. B. Lasserre} and \textit{Y. Emin}, Math. Oper. Res. 44, No. 4, 1477--1493 (2019; Zbl 1453.90116) Full Text: DOI
Wu, Hai-Liang; Sun, Zhi-Wei Some universal quadratic sums over the integers. (English) Zbl 1445.11022 Electron Res. Arch. 27, 69-87 (2019). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11D85 11E20 PDF BibTeX XML Cite \textit{H.-L. Wu} and \textit{Z.-W. Sun}, Electron Res. Arch. 27, 69--87 (2019; Zbl 1445.11022) Full Text: DOI
Jang, Min-Joo; Kane, Ben; Kohnen, Winfried; Man, Siu Hang Interesting identities involving weighted representations of integers as sums of arbitrarily many squares. (English) Zbl 1431.11060 Proc. Natl. Acad. Sci. USA 116, No. 39, 19374-19379 (2019). MSC: 11F27 11E25 11E45 11F37 PDF BibTeX XML Cite \textit{M.-J. Jang} et al., Proc. Natl. Acad. Sci. USA 116, No. 39, 19374--19379 (2019; Zbl 1431.11060) Full Text: DOI
Xu, Jia; Yao, Yong A proof of Hilbert’s theorem on ternary quartic forms. (English) Zbl 1442.11068 J. Math. Inequal. 13, No. 4, 1001-1009 (2019). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 14P05 PDF BibTeX XML Cite \textit{J. Xu} and \textit{Y. Yao}, J. Math. Inequal. 13, No. 4, 1001--1009 (2019; Zbl 1442.11068) Full Text: DOI
Dimabayao, Jerome T.; Ponomarenko, Vadim; Tigas, Orland James Q. On the monoid of monic binary quadratic forms. (English) Zbl 1449.11097 Miskolc Math. Notes 20, No. 2, 863-871 (2019). MSC: 11N32 11E25 11A41 PDF BibTeX XML Cite \textit{J. T. Dimabayao} et al., Miskolc Math. Notes 20, No. 2, 863--871 (2019; Zbl 1449.11097) Full Text: DOI
Somashekara, D. D.; Vidya, K. N. Hurwitz type results for sums of squares and sums of triangular numbers. (English) Zbl 1435.11027 Adv. Stud. Contemp. Math., Kyungshang 29, No. 4, 577-590 (2019). MSC: 11B34 11E25 PDF BibTeX XML Cite \textit{D. D. Somashekara} and \textit{K. N. Vidya}, Adv. Stud. Contemp. Math., Kyungshang 29, No. 4, 577--590 (2019; Zbl 1435.11027) Full Text: DOI
Crespo, Teresa; Hajto, Zbigniew Picard-Vessiot extensions of real differential fields. (English) Zbl 1447.12004 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 13B05 14P05 12D15 PDF BibTeX XML Cite \textit{T. Crespo} and \textit{Z. Hajto}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019; Zbl 1447.12004) Full Text: DOI
Alaca, Ayşe; Alaca, Şaban; Ntienjem, Ebénézer The convolution sum \(\sum_{al+bm=n}\sigma(l)\sigma(m)\) for \((a,b) = (1,28),(4,7),(1,14),(2,7),(1,7)\). (English) Zbl 1455.11011 Kyungpook Math. J. 59, No. 3, 377-389 (2019). MSC: 11A25 11E20 11E25 11F11 11F20 PDF BibTeX XML Cite \textit{A. Alaca} et al., Kyungpook Math. J. 59, No. 3, 377--389 (2019; Zbl 1455.11011) Full Text: DOI
Saunderson, James Certifying polynomial nonnegativity via hyperbolic optimization. (English) Zbl 1441.14196 SIAM J. Appl. Algebra Geom. 3, No. 4, 661-690 (2019). MSC: 14P10 52A20 90C22 90C25 11E25 PDF BibTeX XML Cite \textit{J. Saunderson}, SIAM J. Appl. Algebra Geom. 3, No. 4, 661--690 (2019; Zbl 1441.14196) Full Text: DOI arXiv
Ntienjem, Ebénézer Elementary evaluation of convolution sums involving the divisor function for a class of levels. (English) Zbl 1428.11017 North-West. Eur. J. Math. 5, 101-165 (2019). MSC: 11A25 11F20 11E20 11E25 PDF BibTeX XML Cite \textit{E. Ntienjem}, North-West. Eur. J. Math. 5, 101--165 (2019; Zbl 1428.11017) Full Text: Link
Zhu, Bangzhu; Ye, Shunxin; He, Kaijian; Chevallier, Julien; Xie, Rui Measuring the risk of European carbon market: an empirical mode decomposition-based value at risk approach. (English) Zbl 1434.62242 Ann. Oper. Res. 281, No. 1-2, 373-395 (2019). MSC: 62P20 91B05 62M10 PDF BibTeX XML Cite \textit{B. Zhu} et al., Ann. Oper. Res. 281, No. 1--2, 373--395 (2019; Zbl 1434.62242) Full Text: DOI
Komeiji, Hikaru; Kim, Sunyoung; Yamashita, Makoto On the conditions for the finite termination of ADMM and its applications to SOS polynomials feasibility problems. (English) Zbl 1425.90076 Comput. Optim. Appl. 74, No. 2, 317-344 (2019). MSC: 90C22 90C25 90C26 PDF BibTeX XML Cite \textit{H. Komeiji} et al., Comput. Optim. Appl. 74, No. 2, 317--344 (2019; Zbl 1425.90076) Full Text: DOI
Shiu, Peter On a result of Bambah and Chowla. (English) Zbl 07133439 Integers 19, Paper A48, 6 p. (2019). MSC: 11E25 11N37 PDF BibTeX XML Cite \textit{P. Shiu}, Integers 19, Paper A48, 6 p. (2019; Zbl 07133439) Full Text: Link
Isnaini, Uha; Melham, Ray; Toh, Pee Choon The number of representations of a positive integer by triangular, square and decagonal numbers. (English) Zbl 07128335 Bull. Korean Math. Soc. 56, No. 5, 1143-1157 (2019). MSC: 11E25 11E16 PDF BibTeX XML Cite \textit{U. Isnaini} et al., Bull. Korean Math. Soc. 56, No. 5, 1143--1157 (2019; Zbl 07128335) Full Text: DOI
Alaca, Şaban; Kesicioglu, Yavuz Evaluation of the convolution sum \(\sum_{Al+bm=n} \sigma(l) \sigma(m)\) for \((a,b)=(1,48),(3,16),(1,54),(2,27)\). (English) Zbl 07126908 Funct. Approximatio, Comment. Math. 61, No. 1, 27-45 (2019). MSC: 11A25 11E20 11E20 11E25 11F11 11F20 11F27 PDF BibTeX XML Cite \textit{Ş. Alaca} and \textit{Y. Kesicioglu}, Funct. Approximatio, Comment. Math. 61, No. 1, 27--45 (2019; Zbl 07126908) Full Text: DOI Euclid
Ramakrishnan, B.; Sahu, Brundaban; Singh, Anup Kumar On the number of representations of certain quadratic forms in 8 variables. (English) Zbl 07125685 Anni, Samuele (ed.) et al., Automorphic forms and related topics. Building bridges: 3rd EU/US summer school and workshop on automorphic forms and related topics, Sarajevo, Bosnia and Herzegovina, July 11–22, 2016. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3525-7/pbk; 978-1-4704-5317-6/ebook). Contemporary Mathematics 732, 215-224 (2019). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F11 11F99 11F20 11F30 PDF BibTeX XML Cite \textit{B. Ramakrishnan} et al., Contemp. Math. 732, 215--224 (2019; Zbl 07125685) Full Text: DOI Link
Haensch, Anna; Kane, Ben An algebraic and analytic approach to spinor exceptional behavior in translated lattices. (English) Zbl 07125672 Anni, Samuele (ed.) et al., Automorphic forms and related topics. Building bridges: 3rd EU/US summer school and workshop on automorphic forms and related topics, Sarajevo, Bosnia and Herzegovina, July 11–22, 2016. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3525-7/pbk; 978-1-4704-5317-6/ebook). Contemporary Mathematics 732, 85-90 (2019). MSC: 11E20 11E25 11E81 11H55 05A30 PDF BibTeX XML Cite \textit{A. Haensch} and \textit{B. Kane}, Contemp. Math. 732, 85--90 (2019; Zbl 07125672) Full Text: DOI
Alaca, Ayşe; Altiary, Mada Representations by quaternary quadratic forms with coefficients 1, 2, 5 or 10. (English) Zbl 1440.11048 Commun. Korean Math. Soc. 34, No. 1, 27-41 (2019). MSC: 11E25 11E20 11F11 11F20 11F27 PDF BibTeX XML Cite \textit{A. Alaca} and \textit{M. Altiary}, Commun. Korean Math. Soc. 34, No. 1, 27--41 (2019; Zbl 1440.11048) Full Text: DOI
Putinar, Mihai; Shimorin, Serguei Positive integral kernels for polar derivatives. (English) Zbl 1429.30012 Aleman, Alexandru (ed.) et al., Analysis of operators on function spaces. The Serguei Shimorin memorial volume. Including extended versions of lectures of the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute, Stockholm, Sweden in the summer of 2018. Cham: Springer. Trends Math., 251-258 (2019). MSC: 30C15 26C10 42A16 PDF BibTeX XML Cite \textit{M. Putinar} and \textit{S. Shimorin}, in: Analysis of operators on function spaces. The Serguei Shimorin memorial volume. Including extended versions of lectures of the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute, Stockholm, Sweden in the summer of 2018. Cham: Springer. 251--258 (2019; Zbl 1429.30012) Full Text: DOI
Elsholtz, Christian; Frei, Christopher Arithmetic progressions in binary quadratic forms and norm forms. (English) Zbl 07118824 Bull. Lond. Math. Soc. 51, No. 4, 595-602 (2019). MSC: 11E25 11D57 11E12 PDF BibTeX XML Cite \textit{C. Elsholtz} and \textit{C. Frei}, Bull. Lond. Math. Soc. 51, No. 4, 595--602 (2019; Zbl 07118824) Full Text: DOI
Arias, Fabián; Borja, Jerson; Rubio, Luis Counting integers representable as images of polynomials modulo \(n\). (English) Zbl 1455.11010 J. Integer Seq. 22, No. 6, Article 19.6.7, 20 p. (2019). MSC: 11A07 11B13 11B37 11E25 PDF BibTeX XML Cite \textit{F. Arias} et al., J. Integer Seq. 22, No. 6, Article 19.6.7, 20 p. (2019; Zbl 1455.11010) Full Text: Link arXiv
Sun, Zhi-Wei Restricted sums of four squares. (English) Zbl 1451.11026 Int. J. Number Theory 15, No. 9, 1863-1893 (2019). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11D85 11E20 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Int. J. Number Theory 15, No. 9, 1863--1893 (2019; Zbl 1451.11026) Full Text: DOI arXiv
Doyle, Greg; Muskat, Joseph B.; Pehlivan, Lerna; Williams, Kenneth S. Positive integers represented by regular primitive positive-definite integral ternary quadratic forms. (English) Zbl 07110017 Integers 19, Paper A45, 41 p. (2019). MSC: 11E25 PDF BibTeX XML Cite \textit{G. Doyle} et al., Integers 19, Paper A45, 41 p. (2019; Zbl 07110017) Full Text: Link
Sardari, Naser T. Optimal strong approximation for quadratic forms. (English) Zbl 1443.11030 Duke Math. J. 168, No. 10, 1887-1927 (2019). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11P55 11J13 PDF BibTeX XML Cite \textit{N. T. Sardari}, Duke Math. J. 168, No. 10, 1887--1927 (2019; Zbl 1443.11030) Full Text: DOI Euclid
Blekherman, Grigoriy; Smith, Gregory G.; Velasco, Mauricio Sharp degree bounds for sum-of-squares certificates on projective curves. (English. French summary) Zbl 1441.14189 J. Math. Pures Appl. (9) 129, 61-86 (2019). MSC: 14P05 12D15 14H45 PDF BibTeX XML Cite \textit{G. Blekherman} et al., J. Math. Pures Appl. (9) 129, 61--86 (2019; Zbl 1441.14189) Full Text: DOI
Blekherman, Grigoriy; Plaumann, Daniel; Sinn, Rainer; Vinzant, Cynthia Low-rank sum-of-squares representations on varieties of minimal degree. (English) Zbl 1439.14167 Int. Math. Res. Not. 2019, No. 1, 33-54 (2019). MSC: 14P10 14P05 12D15 14H45 PDF BibTeX XML Cite \textit{G. Blekherman} et al., Int. Math. Res. Not. 2019, No. 1, 33--54 (2019; Zbl 1439.14167) Full Text: DOI arXiv
Dummit, David S. Classes of order 4 in the strict class group of number fields and remarks on unramified quadratic extensions of unit type. (English. French summary) Zbl 07101855 Ann. Math. Qué. 43, No. 2, 221-231 (2019). MSC: 11R29 11R37 11R27 11E25 PDF BibTeX XML Cite \textit{D. S. Dummit}, Ann. Math. Qué. 43, No. 2, 221--231 (2019; Zbl 07101855) Full Text: DOI
Magron, Victor; Garoche, Pierre-Loic; Henrion, Didier; Thirioux, Xavier Semidefinite approximations of reachable sets for discrete-time polynomial systems. (English) Zbl 1421.90110 SIAM J. Control Optim. 57, No. 4, 2799-2820 (2019). MSC: 90C22 93C55 PDF BibTeX XML Cite \textit{V. Magron} et al., SIAM J. Control Optim. 57, No. 4, 2799--2820 (2019; Zbl 1421.90110) Full Text: DOI arXiv
Stroth, Gernot; Waldecker, Rebecca Elementary algebra and number theory. 2nd corrected and updated edition. (Elementare Algebra und Zahlentheorie.) (German) Zbl 1429.11003 Mathematik Kompakt. Cham: Birkhäuser (ISBN 978-3-030-25297-7/pbk; 978-3-030-25298-4/ebook). xi, 170 p. (2019). MSC: 11-01 12-01 00A05 97F60 97Hxx PDF BibTeX XML Cite \textit{G. Stroth} and \textit{R. Waldecker}, Elementare Algebra und Zahlentheorie. Cham: Birkhäuser (2019; Zbl 1429.11003) Full Text: DOI
Kalmynin, Alexander Intervals between consecutive numbers which are sums of two squares. (English) Zbl 07096329 Mathematika 65, No. 4, 1018-1032 (2019). MSC: 11E25 11B05 PDF BibTeX XML Cite \textit{A. Kalmynin}, Mathematika 65, No. 4, 1018--1032 (2019; Zbl 07096329) Full Text: DOI arXiv
Dietmann, Rainer; Elsholtz, Christian Sums of two numbers having only prime factors congruent to one modulo four. (English) Zbl 1455.11064 Pańkowski, Łukasz (ed.) et al., Number theory week 2017. Proceedings of the conference on the occasion of the 60th birthday of Jerzy Kaczorowski, Poznań, Poland, September 4–8, 2017. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 118, 177-179 (2019). MSC: 11E25 11N36 11P32 PDF BibTeX XML Cite \textit{R. Dietmann} and \textit{C. Elsholtz}, Banach Cent. Publ. 118, 177--179 (2019; Zbl 1455.11064) Full Text: DOI
Sun, Zhi-Hong The number of representations of \(n\) as a linear combination of triangular numbers. (English) Zbl 1435.11074 Int. J. Number Theory 15, No. 6, 1191-1218 (2019). MSC: 11E25 11D85 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Int. J. Number Theory 15, No. 6, 1191--1218 (2019; Zbl 1435.11074) Full Text: DOI
Flaut, Cristina Some remarks about the levels and sublevels of algebras obtained by the Cayley-Dickson process. (English) Zbl 07075205 Algebr. Represent. Theory 22, No. 3, 651-663 (2019). Reviewer: Detlev Hoffmann (Dortmund) MSC: 17A35 11E04 11E25 17A20 17A45 17A75 PDF BibTeX XML Cite \textit{C. Flaut}, Algebr. Represent. Theory 22, No. 3, 651--663 (2019; Zbl 07075205) Full Text: DOI arXiv