Han, Xue; Liu, Huafeng; Yue, Ruiyang Goldbach-Linnik type problems involving unequal powers of primes and powers of 2. (English) Zbl 07922268 Bull. Belg. Math. Soc. - Simon Stevin 31, No. 2, 220-237 (2024). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshida, Yuuya Asymptotic and non-asymptotic results for a binary additive problem involving Piatetski-Shapiro numbers. (English) Zbl 07921105 J. Number Theory 265, 138-180 (2024). MSC: 11D85 11D04 11D72 11L07 11B30 11B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Mengdi Waring-Goldbach problem in short intervals. (English) Zbl 07903062 Isr. J. Math. 261, No. 2, 637-669 (2024). MSC: 11P32 11P55 11P05 11L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jinjiang; Long, Linji; Zhang, Min On Waring-Goldbach problem for two squares and five biquadrates. (English) Zbl 07881019 Indian J. Pure Appl. Math. 55, No. 2, 776-793 (2024). MSC: 11P05 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Bhakta, Subham; Krishnamoorthy, Srilakshmi; Muneeswaran, R. Congruence classes for modular forms over small sets. (English) Zbl 07872252 Int. J. Number Theory 20, No. 6, 1621-1647 (2024). MSC: 11F30 11L07 11P05 11B37 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coppersmith, Don; Mossinghoff, Michael J.; Scheinerman, Danny; Vanderkam, Jeffrey M. Ideal solutions in the Prouhet-Tarry-Escott problem. (English) Zbl 07872164 Math. Comput. 93, No. 349, 2473-2501 (2024). MSC: 11D72 11Y50 11D79 11P05 11R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bera, Ranjan; Nair, Saranya G. Newton polygons and the constant associated with the Prouhet-Tarry-Escott problem. (English) Zbl 07856589 Acta Arith. 213, No. 1, 75-95 (2024). MSC: 11D72 11B75 11D41 11P05 × Cite Format Result Cite Review PDF Full Text: DOI
Kaushik, Rahul; Singh, Anupam Waring problem for triangular matrix algebra. (English) Zbl 07842025 Linear Algebra Appl. 692, 135-159 (2024). Reviewer: Xiaodong Zhao (Zhengzhou) MSC: 11P05 11G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goswami, Ankush Gauss circle problem over smooth integers. (English) Zbl 07831273 New York J. Math. 30, 270-294 (2024). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11L20 11L40 11N37 11P05 × Cite Format Result Cite Review PDF Full Text: Link
Kishore, Krishna; Vasiu, Adrian; Zhan, Sailun Waring problem for matrices over finite fields. (English) Zbl 07821474 J. Pure Appl. Algebra 228, No. 7, Article ID 107656, 25 p. (2024). Reviewer: Arne Winterhof (Linz) MSC: 11P05 11T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brüdern, Jörg; Wooley, Trevor D. On Waring’s problem: beyond Freĭman’s theorem. (English) Zbl 07808993 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12820, 25 p. (2024). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Muangma, Kunlathida; Rodtes, Kijti Matrices over commutative rings as sums of higher powers. (English) Zbl 07808508 Linear Multilinear Algebra 72, No. 2, 296-324 (2024). MSC: 11C20 11P05 15B36 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Iosevich, Alex; Langowski, Bartosz; Mirek, Mariusz; Szarek, Tomasz Z. Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres. (English) Zbl 07802413 Math. Ann. 388, No. 2, 2041-2120 (2024). Reviewer: Nikolaj M. Glazunov (Sofia) MSC: 11P05 37A99 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Li, Jinjiang; Xue, Fei; Zhang, Min A quaternary Diophantine inequality with prime numbers of a special form. (English) Zbl 07796578 Ramanujan J. 63, No. 2, 259-291 (2024). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L07 11L20 11P05 11P32 11N36 × 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). MSC: 11P05 11F37 11N35 11N36 11P32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Browning, Tim; Verzobio, Matteo Counting integer points on affine surfaces with a side condition. arXiv:2408.11453 Preprint, arXiv:2408.11453 [math.NT] (2024). MSC: 11D45 11D09 11D41 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Bruedern, Joerg; Wooley, Trevor D. Estimates for smooth Weyl sums on minor arcs. arXiv:2408.06441 Preprint, arXiv:2408.06441 [math.NT] (2024). MSC: 11L07 11L15 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Prakash, Om Northcott property and universality of higher degree forms. arXiv:2407.19974 Preprint, arXiv:2407.19974 [math.NT] (2024). MSC: 11E10 11E76 11G50 11H06 11P05 11R04 11R20 11R80 × Cite Format Result Cite Full Text: arXiv OA License
Anthony, Lucas; Burton, Joe; Deegbe, Irene; England, Sarah; Hamblen, Spencer; Knowles, Reagan; Stewart, Sarah; Wright, Hannah Waring Numbers of Ramified \(p\)-adic Rings. arXiv:2407.14624 Preprint, arXiv:2407.14624 [math.NT] (2024). MSC: 11P05 11E95 11E25 12D15 × Cite Format Result Cite Full Text: arXiv OA License
Arala, Nuno; Getz, Jayce R.; Hou, Jiaqi; Hsu, Chun-Hsien; Li, Huajie; Wang, Victor Y. A nonabelian circle method. arXiv:2407.11804 Preprint, arXiv:2407.11804 [math.NT] (2024). MSC: 11D85 11F70 11P05 11P55 × Cite Format Result Cite Full Text: arXiv OA License
Rome, Nick; Yamagishi, Shuntaro Integral solutions to systems of diagonal equations. arXiv:2406.09256 Preprint, arXiv:2406.09256 [math.NT] (2024). MSC: 11P55 11P05 11D45 11D72 × Cite Format Result Cite Full Text: arXiv OA License
Bruedern, Joerg; Wooley, Trevor D. Estimates for smooth Weyl sums on major arcs. arXiv:2405.18608 Preprint, arXiv:2405.18608 [math.NT] (2024). MSC: 11L07 11L15 11P55 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Benfield, Brennan; Lippard, Oliver Integers that are not the sum of positive powers. arXiv:2404.08193 Preprint, arXiv:2404.08193 [math.NT] (2024). MSC: 11P05 11D09 11D25 11P81 11Y50 × Cite Format Result Cite Full Text: arXiv OA License
Benfield, Brennan; Lippard, Oliver; Roy, Arindam End behavior of Ramanujan’s taxicab numbers. arXiv:2404.08190 Preprint, arXiv:2404.08190 [math.NT] (2024). MSC: 11P05 11D09 11D25 11P81 11Y50 × Cite Format Result Cite Full Text: arXiv OA License
de la Bretèche, Régis; Tenenbaum, Gérald Mean values of arithmetic functions and application to sums of powers. arXiv:2403.19320 Preprint, arXiv:2403.19320 [math.NT] (2024). MSC: 11N25 11N37 11N64 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Zhu, Daniel G. A correction to a result of Chinburg and Henriksen on powers of integer polynomials. arXiv:2402.10121 Preprint, arXiv:2402.10121 [math.NT] (2024). MSC: 13F20 11C08 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Bruedern, Joerg; Wooley, Trevor D. Partitio Numerorum: sums of squares and higher powers. arXiv:2402.09537 Preprint, arXiv:2402.09537 [math.NT] (2024). MSC: 11P55 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Brüdern, Jörg A quaternary Waring-Goldbach problem. (Ein quaternäres Waring-Goldbach-problem.) (German. English summary) Zbl 07914625 Maier, Helmut (ed.) et al., Number theory in memory of Eduard Wirsing. Cham: Springer. 73-90 (2023). MSC: 11P32 × Cite Format Result Cite Review PDF Full Text: DOI
Campbell, Geoffrey B. A rational is a sum of four 4th and four 5th powers. (English) Zbl 1535.11052 Aust. Math. Soc. Gaz. 50, No. 3, 117-119 (2023). MSC: 11D85 11P05 00A08 × Cite Format Result Cite Review PDF
Rakhmonov, Zarullo Khusenovich Generalization of Waring’s problem for nine almost proportional cubes. (Russian. English summary) Zbl 1532.11133 Chebyshevskiĭ Sb. 24, No. 3(89), 71-94 (2023). MSC: 11P05 11P55 11L07 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Huang, Enxun On pairs of Goldbach-Linnik equations with unequal powers of primes. (English) Zbl 07790570 Czech. Math. J. 73, No. 4, 1219-1228 (2023). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Han, X.; Liu, H. Slim exceptional sets of Waring-Goldbach problems involving squares and cubes of primes. (English. Russian original) Zbl 1537.11128 Sb. Math. 214, No. 5, 744-756 (2023); translation from Mat. Sb. 214, No. 5, 140-152 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Vavilov, N. A. Computers as a novel mathematical reality. II: Waring’s problem. (English) Zbl 1532.11004 Dokl. Math. 107, No. 3, 143-172 (2023). MSC: 11-03 11P05 11P55 11D85 × Cite Format Result Cite Review PDF Full Text: DOI
de la Bretèche, Régis; Tenenbaum, Gérald Two upper bounds for the Erdős-Hooley delta-function. (English) Zbl 1537.11123 Sci. China, Math. 66, No. 12, 2683-2692 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Li On pairs of eight cubes of primes and powers of 2. (English) Zbl 07784972 Ramanujan J. 62, No. 4, 935-951 (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Brüdern, Jörg Another Waring-Goldbach problem. (English) Zbl 1540.11135 Acta Arith. 210, 125-132 (2023). Reviewer: Michael Th. Rassias (Vari) MSC: 11P55 11P32 × Cite Format Result Cite Review PDF Full Text: DOI
Brüdern, Jörg; Wooley, Trevor D. On Waring’s problem for larger powers. (English) Zbl 1535.11133 J. Reine Angew. Math. 805, 115-142 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11P05 11P55 11J71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghidelli, Luca On gaps between sums of four fourth powers. (English) Zbl 1540.11132 Acta Arith. 208, No. 4, 295-324 (2023). Reviewer: Jean-Marc Deshouillers (Bordeaux) MSC: 11P05 11P55 11B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suzuki, Yuta On the sum of a prime power and a power in short intervals. (English) Zbl 1536.11154 Ark. Mat. 61, No. 2, 437-474 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11P32 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Xue; Liu, Huafeng A pair of equations in eight prime cubes and powers of 2. (English) Zbl 1534.11121 Bull. Aust. Math. Soc. 108, No. 2, 244-253 (2023). Reviewer: Maurizio Laporta (Napoli) MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Min; Bai, Hongxin; Li, Jinjiang On the Waring-Goldbach problem for two squares and four cubes. (English) Zbl 1524.11177 Open Math. 21, Article ID 20220608, 21 p. (2023). MSC: 11P05 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Arias, Fabián; Borja, Jerson; Anaya, Samuel Counting integers representable as sums of \(k\)-th powers modulo \(n\). (English) Zbl 1525.11107 J. Integer Seq. 26, No. 8, Article 23.8.1, 17 p. (2023). MSC: 11P05 11D85 × Cite Format Result Cite Review PDF Full Text: Link
Paluszyński, Maciej; Zienkiewicz, Jacek On maximal function of discrete rough truncated Hilbert transforms. (English) Zbl 1523.42031 Ann. Mat. Pura Appl. (4) 202, No. 6, 2785-2801 (2023). MSC: 42B25 42B20 44A15 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Jakimczuk, Rafael Some questions on the distribution of prime gaps and some formulas involving prime gaps. (English) Zbl 1528.11102 Gulf J. Math. 15, No. 1, 7-41 (2023). MSC: 11P05 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gongrui On exceptional sets in the Waring-Goldbach problem for fifth powers. (English) Zbl 1530.11078 Ramanujan J. 62, No. 1, 329-346 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P55 11P05 × Cite Format Result Cite Review PDF Full Text: DOI
Brešar, Matej; Šemrl, Peter The Waring problem for matrix algebras. II. (English) Zbl 1532.16018 Bull. Lond. Math. Soc. 55, No. 4, 1880-1889 (2023). Reviewer: Allan Berele (Chicago) MSC: 16R10 16S50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Wiener, Michael J. The largest integer not the sum of distinct 8th powers. (English) Zbl 1539.11127 J. Integer Seq. 26, No. 5, Article 23.5.4, 19 p. (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11B50 11P70 × Cite Format Result Cite Review PDF Full Text: Link
Li, Jinjiang; Xue, Fei; Zhang, Min On the Waring-Goldbach problem for one square, four cubes and one biquadrate. (English) Zbl 1532.11132 Bull. Aust. Math. Soc. 107, No. 3, 416-431 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P05 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Hajdu, L.; Tijdeman, R. The Diophantine equation \(f(x)=g(y)\) for polynomials with simple rational roots. (English) Zbl 07731122 J. Lond. Math. Soc., II. Ser. 108, No. 1, 309-339 (2023). Reviewer: Maciej Ulas (Kraków) MSC: 11N32 11B75 11D41 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Wooley, Trevor D. Paucity problems and some relatives of Vinogradov’s mean value theorem. (English) Zbl 07725807 Math. Proc. Camb. Philos. Soc. 175, No. 2, 327-343 (2023). MSC: 11D45 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jacob, Leif; Külshammer, Burkhard Congruences for sums of powers of an integer. (English) Zbl 1538.11171 Publ. Math. Debr. 103, No. 1-2, 97-113 (2023). Reviewer: Olivier Ramaré (Marseille) MSC: 11P05 11D85 11B13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Podestá, Ricardo A.; Videla, Denis E. Waring numbers over finite commutative local rings. (English) Zbl 1540.11133 Discrete Math. 346, No. 10, Article ID 113567, 22 p. (2023). MSC: 11P05 12E20 05C25 05C12 13A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murty, M. Ram; Sinha, Kaneenika An introduction to the circle method. (English) Zbl 1531.11001 Student Mathematical Library 104. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7203-0/pbk; 978-1-4704-7424-9/ebook). xix, 257 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11Pxx 11Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Panja, Saikat; Prasad, Sachchidanand The image of polynomials and Waring type problems on upper triangular matrix algebras. (English) Zbl 1530.16026 J. Algebra 631, 148-193 (2023). Reviewer: Radoslav M. Dimitrić (New York) MSC: 16S50 16R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Warren, Benjamin Lee Integers as sums of four tetrahedral numbers and eight pentatope numbers in one identity. (English) Zbl 1527.11073 Am. Math. Mon. 130, No. 6, 522 (2023). MSC: 11P05 × Cite Format Result Cite Review PDF Full Text: DOI
Mirek, Jarosław; Słomian, Wojciech; Wróbel, Błażej On the solution of Waring problem with a multiplicative error term: dimension-free estimates. (English) Zbl 1531.11094 Proc. Am. Math. Soc. 151, No. 8, 3365-3379 (2023). Reviewer: Victor Wang (Princeton) MSC: 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pliego, Javier On Waring’s problem in sums of three cubes for smaller powers. (English) Zbl 1531.11095 J. Aust. Math. Soc. 114, No. 3, 378-405 (2023). Reviewer: Temenoujka Peneva (Plovdiv) MSC: 11P05 11P55 11D85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Casarotti, Alex; Mella, Massimiliano From non-defectivity to identifiability. (English) Zbl 07683503 J. Eur. Math. Soc. (JEMS) 25, No. 3, 913-931 (2023). MSC: 14N05 15A69 15A72 11P05 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dias, Thiago; Gondim, Rodrigo Waring problems and the Lefschetz properties. (English) Zbl 1509.13001 Sel. Math., New Ser. 29, No. 3, Paper No. 32, 21 p. (2023). Reviewer: Piotr Pokora (Kraków) MSC: 13A02 13D40 13E10 14N15 14N20 15A69 15A23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brešar, Matej; Šemrl, Peter The Waring problem for matrix algebras. (English) Zbl 1525.16021 Isr. J. Math. 253, No. 1, 381-405 (2023). Reviewer: Wenchao Zhang (Huizhou) MSC: 16R20 16R30 16R50 15A24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wooley, Trevor D. Subconvexity in inhomogeneous Vinogradov systems. (English) Zbl 1536.11150 Q. J. Math. 74, No. 1, 389-418 (2023). Reviewer: Guangshi Lü (Jinan) MSC: 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Liqun Two results on unlike powers of primes and powers of 2 in the Waring-Goldbach problem. (English) Zbl 1528.11103 Ramanujan J. 60, No. 4, 1081-1094 (2023). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Rui Goldbach-Linnik type problems with mixed powers of primes. (English) Zbl 1525.11113 Ramanujan J. 60, No. 4, 1069-1080 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Warren, Benjamin Lee A new polygonal number theorem. (English) Zbl 1507.11088 Am. Math. Mon. 130, No. 4, 334 (2023). MSC: 11P05 × Cite Format Result Cite Review PDF Full Text: DOI
Demiroğlu Karabulut, Yeşim An analogue of Furstenberg-Sárközy’s theorem and an alternative solution to Waring’s problem over finite fields. (English) Zbl 1525.11108 Expo. Math. 41, No. 1, 164-185 (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 05C20 05C25 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Y. C. On the conical hull of moment vectors. (English) Zbl 1519.44003 Sib. Math. J. 64, No. 2, 469-470 (2023). MSC: 44A60 11P05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jingbo \(g\)-invariant on unary Hermitian lattices over imaginary quadratic fields with class number 2 or 3. (English) Zbl 1520.11048 J. Algebra 622, 636-675 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E39 11E41 11Y40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Li Two prime squares, four prime cubes and powers of 2. (English) Zbl 1525.11109 Ramanujan J. 60, No. 2, 427-445 (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Zhining Sums of \(k\)-th powers and Fourier coefficients of cusp forms. (English) Zbl 1510.11103 Ramanujan J. 60, No. 2, 295-316 (2023). MSC: 11F30 11P05 11P55 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Panja, Saikat; Saini, Prachi; Singh, Anupam Images of polynomial maps with constants. arXiv:2312.13865 Preprint, arXiv:2312.13865 [math.GR] (2023). MSC: 16S50 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Kowalczyk, Tomasz; Vill, Julian On higher Pythagoras numbers of polynomial rings. arXiv:2311.07356 Preprint, arXiv:2311.07356 [math.AG] (2023). MSC: 11P05 14Q30 × Cite Format Result Cite Full Text: arXiv OA License
Han, Qi On partial differential equations of Waring’s-problem form in several complex variables. arXiv:2309.06616 Preprint, arXiv:2309.06616 [math.CV] (2023). MSC: 32A15 32A20 35F20 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Chafamo, Daniel; Shanmugam, Vignesh; Tokcan, Neriman Robust Bayesian Tensor Factorization with Zero-Inflated Poisson Model and Consensus Aggregation. arXiv:2308.08060 Preprint, arXiv:2308.08060 [stat.ML] (2023). MSC: 92Bxx 62F15 68-XX 68Txx 11E76 11P05 12D15 14N10 × Cite Format Result Cite Full Text: arXiv OA License
Han, Xue; Liu, Huafeng Goldbach-Linnik type problems involving one prime, four prime cubes and powers of 2. arXiv:2307.10313 Preprint, arXiv:2307.10313 [math.NT] (2023). MSC: 11P05 11P32 11P55 × Cite Format Result Cite Full Text: arXiv OA License
Nguyen, Kien Huu Exponential sums and motivic oscillation index of arbitrary ideals and their applications. arXiv:2305.19732 Preprint, arXiv:2305.19732 [math.NT] (2023). MSC: 11L07 11S40 11D79 11P05 14B05 14E18 11U09 03C98 × Cite Format Result Cite Full Text: arXiv OA License
Panja, Saikat; Saini, Prachi; Singh, Anupam Surjectivity of polynomial maps on Matrices. arXiv:2305.19731 Preprint, arXiv:2305.19731 [math.GR] (2023). MSC: 16S50 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Avni, Nir; Meiri, Chen Conjugacy width in uniform higher rank arithmetic groups of orthogonal type. arXiv:2304.13173 Preprint, arXiv:2304.13173 [math.GR] (2023). MSC: 20G30 11E57 11P05 × Cite Format Result Cite Full Text: arXiv OA License
Biggs, Kirsti D.; Brandes, Julia A minimalist version of the circle method and Diophantine problems over thin sets. arXiv:2304.07891 Preprint, arXiv:2304.07891 [math.NT] (2023). MSC: 11P55 11P05 11D45 11D85 11B13 × Cite Format Result Cite Full Text: arXiv OA License
Baier, Stephan; Lynch, Sean B. Large sieve inequalities with power moduli and Waring’s problem. arXiv:2303.07613 Preprint, arXiv:2303.07613 [math.NT] (2023). MSC: 11B57 11P05 11D75 11J71 11L03 11L07 × Cite Format Result Cite Full Text: arXiv OA License
Li, Sanhua A ternary Diophantine inequality involving prime powers. (English) Zbl 07887888 Adv. Math., Beijing 51, No. 3, 447-470 (2022). MSC: 11P32 11D75 11J25 11P05 × Cite Format Result Cite Review PDF
Brüdern, Jörg; Wooley, Trevor D. A paucity problem for certain triples of diagonal equations. (English) Zbl 1534.11043 Bull. Lond. Math. Soc. 54, No. 4, 1396-1412 (2022). MSC: 11D45 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hughes, Kevin; Wooley, Trevor D. Discrete restriction for \((x,x^3)\) and related topics. (English) Zbl 1541.11084 Int. Math. Res. Not. 2022, No. 20, 15612-15631 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P55 11P05 35Q55 42B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Zhang, Qingqing On an additive problem of unlike powers in short intervals. (English) Zbl 07655791 Czech. Math. J. 72, No. 4, 1167-1174 (2022). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Hathi, Shehzad Representation of even integers as a sum of squares of primes and powers of two. (English) Zbl 1522.11100 Acta Arith. 206, No. 4, 353-372 (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P55 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lycan, Ron; Ponomarenko, Vadim Sums of two generalized tetrahedral numbers. (English) Zbl 1504.11104 PUMP J. Undergrad. Res. 5, 206-217 (2022). MSC: 11P05 × Cite Format Result Cite Review PDF Full Text: Link
Sanna, Carlo; Shallit, Jeffrey; Zhang, Shun The largest entry in the inverse of a Vandermonde matrix. (English) Zbl 1506.15006 Linear Multilinear Algebra 70, No. 20, 5634-5641 (2022). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 15B99 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brandes, Julia; Hughes, Kevin On the inhomogeneous Vinogradov system. (English) Zbl 1508.11040 Bull. Aust. Math. Soc. 106, No. 3, 396-403 (2022). MSC: 11D45 11D85 11L15 11P05 42B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Podestá, Ricardo A.; Videla, Denis E. A reduction formula for Waring numbers through generalized Paley graphs. (English) Zbl 1511.11085 J. Algebr. Comb. 56, No. 4, 1255-1285 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 05C25 05C12 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cochrane, Todd; Ostergaard, Misty; Spencer, Craig Homogeneous additive congruences. (English) Zbl 1498.11105 Rocky Mt. J. Math. 52, No. 4, 1295-1317 (2022). MSC: 11D79 11P05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cui, Lu; Ma, Minghui On arithmetic properties of Cantor sets. (English) Zbl 1517.11126 Sci. China, Math. 65, No. 10, 2035-2060 (2022). MSC: 11P05 11P32 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lü, Xiaodong Two prime squares, four prime cubes and powers of 2. (Chinese. English summary) Zbl 1513.11168 Chin. Ann. Math., Ser. A 43, No. 1, 103-112 (2022). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinjiang; Xue, Fei; Zhang, Min A ternary Diophantine inequality with prime numbers of a special form. (English) Zbl 1513.11167 Period. Math. Hung. 85, No. 1, 14-31 (2022). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11P32 11N36 11L07 11L20 11P05 × Cite Format Result Cite Review PDF Full Text: DOI
Ponomarenko, Vadim Sums of generalized octahedral numbers. (English) Zbl 1498.11201 Am. Math. Mon. 129, No. 7, 677 (2022). MSC: 11P05 × Cite Format Result Cite Review PDF Full Text: DOI
Brüdern, Jörg; Wooley, Trevor D. On smooth Weyl sums over biquadrates and Waring’s problem. (English) Zbl 1504.11103 Acta Arith. 204, No. 1, 19-40 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11L15 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jinjiang; Zhang, Min; Xue, Fei On a ternary Diophantine equation involving fractional powers with prime variables of a special form. (English) Zbl 1512.11061 Ramanujan J. 58, No. 4, 1171-1199 (2022). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11L07 11L20 11P05 11P32 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Hajdu, L.; Papp, Á.; Tijdeman, R. The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations. (English) Zbl 1496.11126 Ramanujan J. 58, No. 4, 1075-1093 (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11P05 11B75 11D41 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Barai, Rakesh; Garge, Anuradha S. Trace and discriminant criteria for a matrix to be a sum of sixth and eighth powers of matrices. (English) Zbl 1493.11063 Integers 22, Paper A25, 14 p. (2022). MSC: 11C20 11P05 15B36 15B33 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Zhu, Li Goldbach-Linnik type problems on eight cubes of primes. (English) Zbl 1505.11129 Rocky Mt. J. Math. 52, No. 3, 1127-1139 (2022). Reviewer: Victor Wang (Princeton) MSC: 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI Link