Northey, Matthew; Vishe, Pankaj On the Hasse principle for complete intersections. (English) Zbl 07825740 Compos. Math. 160, No. 4, 771-835 (2024). MSC: 11D72 11P55 14G05 PDFBibTeX XMLCite \textit{M. Northey} and \textit{P. Vishe}, Compos. Math. 160, No. 4, 771--835 (2024; Zbl 07825740) Full Text: DOI arXiv OA License
Nguyen, D. T. Generalized divisor functions in arithmetic progressions. II. (English) Zbl 07811754 Proc. Edinb. Math. Soc., II. Ser. 67, No. 1, 28-56 (2024). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11M06 PDFBibTeX XMLCite \textit{D. T. Nguyen}, Proc. Edinb. Math. Soc., II. Ser. 67, No. 1, 28--56 (2024; Zbl 07811754) Full Text: DOI arXiv OA License
Males, Joshua A note on the equidistribution of 3-colour partitions. (English) Zbl 07803224 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 001, 8 p. (2024). MSC: 11P82 PDFBibTeX XMLCite \textit{J. Males}, SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 001, 8 p. (2024; Zbl 07803224) Full Text: DOI arXiv
Cesana, Giulia; Craig, William; Males, Joshua Asymptotic equidistribution for partition statistics and topological invariants. (English) Zbl 07794617 J. Number Theory 256, 373-396 (2024). MSC: 11P82 11P83 05A17 05A15 PDFBibTeX XMLCite \textit{G. Cesana} et al., J. Number Theory 256, 373--396 (2024; Zbl 07794617) Full Text: DOI arXiv
Berndt, Bruce C.; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk Partitions with multiplicities associated with divisor functions. (English) Zbl 07791618 J. Math. Anal. Appl. 533, No. 1, Article ID 127987, 32 p. (2024). MSC: 11P82 11P55 11M06 11L20 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., J. Math. Anal. Appl. 533, No. 1, Article ID 127987, 32 p. (2024; Zbl 07791618) Full Text: DOI
Quellmalz, Michael; Elbau, Peter; Scherzer, Otmar; Steidl, Gabriele Motion detection in diffraction tomography by common circle methods. (English) Zbl 07782518 Math. Comput. 93, No. 346, 747-784 (2024). MSC: 92C55 78A46 42B05 PDFBibTeX XMLCite \textit{M. Quellmalz} et al., Math. Comput. 93, No. 346, 747--784 (2024; Zbl 07782518) Full Text: DOI arXiv
Bridges, Walter; Franke, Johann; Males, Joshua Sign changes in statistics for plane partitions. (English) Zbl 1525.05009 J. Math. Anal. Appl. 530, No. 1, Article ID 127719, 27 p. (2024). MSC: 05A17 11P82 11P83 PDFBibTeX XMLCite \textit{W. Bridges} et al., J. Math. Anal. Appl. 530, No. 1, Article ID 127719, 27 p. (2024; Zbl 1525.05009) Full Text: DOI arXiv
Han, Xue; Liu, Huafeng Powers of 2 in two Goldbach-Linnik type problems involving prime cubes. (English) Zbl 07756941 Discrete Math. 347, No. 1, Article ID 113674, 9 p. (2024). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 PDFBibTeX XMLCite \textit{X. Han} and \textit{H. Liu}, Discrete Math. 347, No. 1, Article ID 113674, 9 p. (2024; Zbl 07756941) Full Text: DOI
Guth, Larry Decoupling estimates in Fourier analysis. (English) Zbl 07821733 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1054-1089 (2023). MSC: 42B10 42B20 11L15 PDFBibTeX XMLCite \textit{L. Guth}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1054--1089 (2023; Zbl 07821733) Full Text: DOI arXiv OA License
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 PDFBibTeX XMLCite \textit{E. Huang}, Czech. Math. J. 73, No. 4, 1219--1228 (2023; Zbl 07790570) Full Text: DOI
Vlăduţ, S. G.; Dymov, A. V.; Kuksin, S. B.; Maiocchi, A. A refinement of Heath-Brown’s theorem on quadratic forms. (English. Russian original) Zbl 07787325 Sb. Math. 214, No. 5, 627-675 (2023); translation from Mat. Sb. 214, No. 5, 18-68 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E20 11P55 PDFBibTeX XMLCite \textit{S. G. Vlăduţ} et al., Sb. Math. 214, No. 5, 627--675 (2023; Zbl 07787325); translation from Mat. Sb. 214, No. 5, 18--68 (2023) Full Text: DOI arXiv MNR
Holley-Reid, John; Rouse, Jeremy The number of representations of \(n\) as a growing number of squares. (English) Zbl 07786737 Involve 16, No. 5, 727-735 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E25 41A60 PDFBibTeX XMLCite \textit{J. Holley-Reid} and \textit{J. Rouse}, Involve 16, No. 5, 727--735 (2023; Zbl 07786737) Full Text: DOI arXiv
Vavilov, N. A. Computers as a novel mathematical reality. II: Waring’s problem. (English) Zbl 07786634 Dokl. Math. 107, No. 3, 143-172 (2023). MSC: 11-03 11P05 11P55 11D85 PDFBibTeX XMLCite \textit{N. A. Vavilov}, Dokl. Math. 107, No. 3, 143--172 (2023; Zbl 07786634) Full Text: DOI
Wang, Yuchao; Yao, Weili On the saturation number for singular cubic surfaces. (English) Zbl 07786162 Sci. China, Math. 66, No. 12, 2803-2818 (2023). MSC: 11D25 11P32 11P55 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. Yao}, Sci. China, Math. 66, No. 12, 2803--2818 (2023; Zbl 07786162) Full Text: DOI arXiv
Chen, Yong-Gao; Yang, Quan-Hui; Zhao, Lilu On infinite arithmetic progressions in sumsets. (English) Zbl 07786152 Sci. China, Math. 66, No. 12, 2669-2682 (2023). MSC: 11B13 11B25 11N05 11P55 PDFBibTeX XMLCite \textit{Y.-G. Chen} et al., Sci. China, Math. 66, No. 12, 2669--2682 (2023; Zbl 07786152) Full Text: DOI
Cook, Brian; Hughes, Kevin; Palsson, Eyvindur Discrete restriction estimates for forms in many variables. (English) Zbl 07781884 Proc. Edinb. Math. Soc., II. Ser. 66, No. 4, 923-939 (2023). MSC: 11D72 11L07 11P55 42B05 42B25 PDFBibTeX XMLCite \textit{B. Cook} et al., Proc. Edinb. Math. Soc., II. Ser. 66, No. 4, 923--939 (2023; Zbl 07781884) Full Text: DOI OA License
Liu, Jianya; Zhao, Lilu On forms in prime variables. (English) Zbl 07772569 Trans. Am. Math. Soc. 376, No. 12, 8621-8656 (2023). MSC: 11P55 11P32 11D45 11D72 PDFBibTeX XMLCite \textit{J. Liu} and \textit{L. Zhao}, Trans. Am. Math. Soc. 376, No. 12, 8621--8656 (2023; Zbl 07772569) Full Text: DOI arXiv
Ding, Pengyong On a variance associated with the distribution of real sequences in arithmetic progressions. (English) Zbl 07771592 Acta Arith. 211, No. 3, 229-263 (2023). MSC: 11N64 11P55 PDFBibTeX XMLCite \textit{P. Ding}, Acta Arith. 211, No. 3, 229--263 (2023; Zbl 07771592) Full Text: DOI
Brüdern, Jörg Another Waring-Goldbach problem. (English) Zbl 07771568 Acta Arith. 210, 125-132 (2023). Reviewer: Michael Th. Rassias (Vari) MSC: 11P55 11P32 PDFBibTeX XMLCite \textit{J. Brüdern}, Acta Arith. 210, 125--132 (2023; Zbl 07771568) Full Text: DOI
Pintz, János A new explicit formula in the additive theory of primes with applications. I: The explicit formula for the Goldbach problem and the Generalized Twin Prime Problem. (English) Zbl 07771566 Acta Arith. 210, 53-94 (2023). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P32 11P55 11M20 11M26 PDFBibTeX XMLCite \textit{J. Pintz}, Acta Arith. 210, 53--94 (2023; Zbl 07771566) Full Text: DOI
Ghidelli, Luca On gaps between sums of four fourth powers. (English) Zbl 07770417 Acta Arith. 208, No. 4, 295-324 (2023). Reviewer: Jean-Marc Deshouillers (Bordeaux) MSC: 11P05 11P55 11B05 PDFBibTeX XMLCite \textit{L. Ghidelli}, Acta Arith. 208, No. 4, 295--324 (2023; Zbl 07770417) Full Text: DOI arXiv
Han, Xue; Liu, Huafeng A pair of equations in eight prime cubes and powers of 2. (English) Zbl 07760889 Bull. Aust. Math. Soc. 108, No. 2, 244-253 (2023). Reviewer: Maurizio Laporta (Napoli) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{X. Han} and \textit{H. Liu}, Bull. Aust. Math. Soc. 108, No. 2, 244--253 (2023; Zbl 07760889) Full Text: DOI
Long, Xuan; Hu, Liqun; Yang, Bo A pair of equations in two prime squares, four prime cubes and powers of two. (English) Zbl 07760629 Ramanujan J. 62, No. 3, 885-897 (2023). MSC: 11P32 11P55 PDFBibTeX XMLCite \textit{X. Long} et al., Ramanujan J. 62, No. 3, 885--897 (2023; Zbl 07760629) Full Text: DOI
Ribeiro, Celso C.; Urrutia, Sebastián; de Werra, Dominique A tutorial on graph models for scheduling round-robin sports tournaments. (English) Zbl 07745327 Int. Trans. Oper. Res. 30, No. 6, 3267-3295 (2023). MSC: 90-XX PDFBibTeX XMLCite \textit{C. C. Ribeiro} et al., Int. Trans. Oper. Res. 30, No. 6, 3267--3295 (2023; Zbl 07745327) Full Text: DOI
Ionescu, Alexandru D.; Magyar, Ákos; Mirek, Mariusz; Szarek, Tomasz Z. Polynomial sequences in discrete nilpotent groups of step 2. (English) Zbl 07741155 Adv. Nonlinear Stud. 23, Article ID 20230085, 24 p. (2023). MSC: 37A30 37A44 42B25 45P05 PDFBibTeX XMLCite \textit{A. D. Ionescu} et al., Adv. Nonlinear Stud. 23, Article ID 20230085, 24 p. (2023; Zbl 07741155) Full Text: DOI arXiv
Krause, Ben; Roos, Joris Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: \(\ell^p\) bounds for \(p > 1\). (English) Zbl 1522.42040 J. Funct. Anal. 285, No. 10, Article ID 110123, 19 p. (2023). MSC: 42B25 42B20 42B15 PDFBibTeX XMLCite \textit{B. Krause} and \textit{J. Roos}, J. Funct. Anal. 285, No. 10, Article ID 110123, 19 p. (2023; Zbl 1522.42040) Full Text: DOI arXiv
Chen, Gongrui On exceptional sets in the Waring-Goldbach problem for fifth powers. (English) Zbl 07739360 Ramanujan J. 62, No. 1, 329-346 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P55 11P05 PDFBibTeX XMLCite \textit{G. Chen}, Ramanujan J. 62, No. 1, 329--346 (2023; Zbl 07739360) Full Text: DOI
Craig, William Seaweed algebras and the index statistic for partitions. (English) Zbl 07732447 J. Math. Anal. Appl. 528, No. 2, Article ID 127544, 23 p. (2023). Reviewer: Nian Hong Zhou (Shanghai) MSC: 11P82 05A17 17B05 PDFBibTeX XMLCite \textit{W. Craig}, J. Math. Anal. Appl. 528, No. 2, Article ID 127544, 23 p. (2023; Zbl 07732447) Full Text: DOI arXiv
Ding, Yuchen; Zhou, Guang-Liang Sum of higher divisor function with prime summands. (English) Zbl 07729528 Czech. Math. J. 73, No. 2, 621-631 (2023). MSC: 11N37 11A41 11P55 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{G.-L. Zhou}, Czech. Math. J. 73, No. 2, 621--631 (2023; Zbl 07729528) Full Text: DOI
Lou, Miao Triple correlations of ternary divisor functions. II. (English) Zbl 1528.11098 Int. J. Number Theory 19, No. 7, 1525-1551 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11P55 11T23 PDFBibTeX XMLCite \textit{M. Lou}, Int. J. Number Theory 19, No. 7, 1525--1551 (2023; Zbl 1528.11098) Full Text: DOI
Murty, M. Ram; Sinha, Kaneenika An introduction to the circle method. (English) Zbl 07713442 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 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{K. Sinha}, An introduction to the circle method. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07713442) Full Text: DOI
Sanjaya, Gian Cordana; Wang, Xiaoheng On the squarefree values of \(a^4+b^3\). (English) Zbl 07710873 Math. Ann. 386, No. 3-4, 1237-1265 (2023). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N32 11N36 11N45 PDFBibTeX XMLCite \textit{G. C. Sanjaya} and \textit{X. Wang}, Math. Ann. 386, No. 3--4, 1237--1265 (2023; Zbl 07710873) Full Text: DOI arXiv
Schlosser, Michael J.; Zhou, Nian Hong On the infinite Borwein product raised to a positive real power. (English) Zbl 07695117 Ramanujan J. 61, No. 2, 515-543 (2023). MSC: 11P55 11F03 11F30 26D20 PDFBibTeX XMLCite \textit{M. J. Schlosser} and \textit{N. H. Zhou}, Ramanujan J. 61, No. 2, 515--543 (2023; Zbl 07695117) Full Text: DOI arXiv
Bridges, Walter; Bringmann, Kathrin Taylor coefficients of false Jacobi forms and ranks of unimodal sequences. (English) Zbl 07691780 Adv. Math. 426, Article ID 109074, 33 p. (2023). Reviewer: Larry Rolen (Dublin) MSC: 11P82 11F50 PDFBibTeX XMLCite \textit{W. Bridges} and \textit{K. Bringmann}, Adv. Math. 426, Article ID 109074, 33 p. (2023; Zbl 07691780) Full Text: DOI arXiv
Balestrieri, Francesca; Rome, Nick Average Bateman-Horn for Kummer polynomials. (English) Zbl 1525.11103 Acta Arith. 207, No. 4, 315-350 (2023). MSC: 11N32 11N36 11N37 11P55 14G05 PDFBibTeX XMLCite \textit{F. Balestrieri} and \textit{N. Rome}, Acta Arith. 207, No. 4, 315--350 (2023; Zbl 1525.11103) Full Text: DOI arXiv
Mirek, Jarosław; Słomian, Wojciech; Wróbel, Błażej On the solution of Waring problem with a multiplicative error term: dimension-free estimates. (English) Zbl 07688421 Proc. Am. Math. Soc. 151, No. 8, 3365-3379 (2023). Reviewer: Victor Wang (Princeton) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Mirek} et al., Proc. Am. Math. Soc. 151, No. 8, 3365--3379 (2023; Zbl 07688421) Full Text: DOI arXiv
Browning, Tim; Sawin, Will Free rational curves on low degree hypersurfaces and the circle method. (English) Zbl 1524.14059 Algebra Number Theory 17, No. 3, 719-748 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 14H10 11D45 11P55 14G05 14J20 PDFBibTeX XMLCite \textit{T. Browning} and \textit{W. Sawin}, Algebra Number Theory 17, No. 3, 719--748 (2023; Zbl 1524.14059) Full Text: DOI arXiv
Wooley, Trevor D. Subconvexity in inhomogeneous Vinogradov systems. (English) Zbl 07673948 Q. J. Math. 74, No. 1, 389-418 (2023). Reviewer: Guangshi Lü (Jinan) MSC: 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Q. J. Math. 74, No. 1, 389--418 (2023; Zbl 07673948) Full Text: DOI arXiv
Brüdern, Jörg; Wooley, Trevor D. Pairs of diagonal quartic forms: the non-singular Hasse principle. (English) Zbl 1525.11037 Q. J. Math. 74, No. 1, 101-128 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 11D72 14G12 11P55 11L15 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, Q. J. Math. 74, No. 1, 101--128 (2023; Zbl 1525.11037) 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 PDFBibTeX XMLCite \textit{L. Hu}, Ramanujan J. 60, No. 4, 1081--1094 (2023; Zbl 1528.11103) 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 PDFBibTeX XMLCite \textit{R. Zhang}, Ramanujan J. 60, No. 4, 1069--1080 (2023; Zbl 1525.11113) Full Text: DOI
Jackson, Faye; Otgonbayar, Misheel Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions. (English) Zbl 1511.05013 J. Number Theory 248, 310-342 (2023). MSC: 05A17 11P82 11P81 PDFBibTeX XMLCite \textit{F. Jackson} and \textit{M. Otgonbayar}, J. Number Theory 248, 310--342 (2023; Zbl 1511.05013) Full Text: DOI arXiv
Chern, Shane Nonmodular infinite products and a conjecture of Seo and Yee. (English) Zbl 1523.11184 Adv. Math. 417, Article ID 108932, 40 p. (2023). Reviewer: Mihály Szalay (Budapest) MSC: 11P82 05A17 11P55 PDFBibTeX XMLCite \textit{S. Chern}, Adv. Math. 417, Article ID 108932, 40 p. (2023; Zbl 1523.11184) Full Text: DOI arXiv
Zhao, Yuetong; Zhai, Wenguang; Li, Jinjiang Sums of the \(k\)th divisor function of the ternary quadratic with prime variables. (English) Zbl 07659063 Ramanujan J. 60, No. 2, 485-504 (2023). Reviewer: Enrique Treviño (Lake Forest) MSC: 11P55 11N37 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Ramanujan J. 60, No. 2, 485--504 (2023; Zbl 07659063) Full Text: DOI
Li, Boyang; Wang, Yuchao Diophantine approximation with prime variables and mixed powers. (English) Zbl 07659057 Ramanujan J. 60, No. 2, 371-389 (2023). Reviewer: Guangshi Lü (Jinan) MSC: 11D75 11P32 11N36 PDFBibTeX XMLCite \textit{B. Li} and \textit{Y. Wang}, Ramanujan J. 60, No. 2, 371--389 (2023; Zbl 07659057) 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 PDFBibTeX XMLCite \textit{Z. Wei}, Ramanujan J. 60, No. 2, 295--316 (2023; Zbl 1510.11103) Full Text: DOI
Maier, Helmut; Rassias, Michael Th. The ternary Goldbach problem with two Piatetski-Shapiro primes and a prime with a missing digit. (English) Zbl 1518.11067 Commun. Contemp. Math. 25, No. 2, Article ID 2150101, 45 p. (2023). Reviewer: Maurizio Laporta (Napoli) MSC: 11P32 11N05 11A63 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Commun. Contemp. Math. 25, No. 2, Article ID 2150101, 45 p. (2023; Zbl 1518.11067) Full Text: DOI arXiv
Akbal, Yıldırım; Güloğlu, Ahmet M. Variations on a theme of Mirsky. (English) Zbl 1515.11097 Int. J. Number Theory 19, No. 1, 1-39 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11N05 11P55 PDFBibTeX XMLCite \textit{Y. Akbal} and \textit{A. M. Güloğlu}, Int. J. Number Theory 19, No. 1, 1--39 (2023; Zbl 1515.11097) Full Text: DOI
Sardari, Naser Talebizadeh; Zargar, Masoud Optimal strong approximation for quadrics over \(\mathbb{F}_q [t]\). (English) Zbl 1517.11069 Adv. Math. 413, Article ID 108852, 62 p. (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11G35 11E12 11P55 11R58 14G12 05C12 PDFBibTeX XMLCite \textit{N. T. Sardari} and \textit{M. Zargar}, Adv. Math. 413, Article ID 108852, 62 p. (2023; Zbl 1517.11069) Full Text: DOI arXiv
Hu, Guangwei; Lü, Guangshi Jutila’s circle method and \(\mathrm{GL}(2) \times \mathrm{GL}(2)\) shifted convolution sums. (English) Zbl 1512.11041 J. Number Theory 242, 709-724 (2023). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F30 11F66 11E76 11P55 PDFBibTeX XMLCite \textit{G. Hu} and \textit{G. Lü}, J. Number Theory 242, 709--724 (2023; Zbl 1512.11041) Full Text: DOI
Hughes, Kevin; Wooley, Trevor D. Discrete restriction for \((x,x^3)\) and related topics. (English) Zbl 07711430 Int. Math. Res. Not. 2022, No. 20, 15612-15631 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P55 11P05 35Q55 42B10 PDFBibTeX XMLCite \textit{K. Hughes} and \textit{T. D. Wooley}, Int. Math. Res. Not. 2022, No. 20, 15612--15631 (2022; Zbl 07711430) Full Text: DOI arXiv
Maier, Helmut; Rassias, Michael Th. The ternary Goldbach problem with a missing digit and other primes of special types. (English) Zbl 07672494 Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 333-362 (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11P32 11N05 11A63 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, in: Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 333--362 (2022; Zbl 07672494) Full Text: DOI
Kong, Yafang An asymptotic formula for the number of prime solutions for multivariate linear equations. (English) Zbl 1506.11128 Front. Math. China 17, No. 6, 1001-1013 (2022); translation from Adv. Math., Beijing 51, No. 4, 661-672 (2022). MSC: 11P32 11P55 PDFBibTeX XMLCite \textit{Y. Kong}, Front. Math. China 17, No. 6, 1001--1013 (2022; Zbl 1506.11128); translation from Adv. Math., Beijing 51, No. 4, 661--672 (2022) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Q. Zhang}, Czech. Math. J. 72, No. 4, 1167--1174 (2022; Zbl 07655791) Full Text: DOI
Hua, Guodong A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form. (English) Zbl 07655781 Czech. Math. J. 72, No. 4, 1047-1054 (2022). MSC: 11F30 11F41 11N37 PDFBibTeX XMLCite \textit{G. Hua}, Czech. Math. J. 72, No. 4, 1047--1054 (2022; Zbl 07655781) 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 PDFBibTeX XMLCite \textit{S. Hathi}, Acta Arith. 206, No. 4, 353--372 (2022; Zbl 1522.11100) Full Text: DOI arXiv
Zhou, Guang-Liang; Ding, Yuchen Sums of the higher divisor function of diagonal homogeneous forms. (English) Zbl 1498.11200 Ramanujan J. 59, No. 3, 933-945 (2022). MSC: 11N37 11E76 11P55 PDFBibTeX XMLCite \textit{G.-L. Zhou} and \textit{Y. Ding}, Ramanujan J. 59, No. 3, 933--945 (2022; Zbl 1498.11200) Full Text: DOI
Ge, Zhenchao Additive properties for sets of polynomial values. (English) Zbl 07602923 Mosc. J. Comb. Number Theory 11, No. 3, 247-261 (2022). MSC: 11B13 11P55 PDFBibTeX XMLCite \textit{Z. Ge}, Mosc. J. Comb. Number Theory 11, No. 3, 247--261 (2022; Zbl 07602923) Full Text: DOI
de la Bretèche, Régis; Granville, Andrew Exponential sums with multiplicative coefficients and applications. (English) Zbl 1505.11124 Trans. Am. Math. Soc. 375, No. 10, 6875-6901 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11L03 11P55 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{A. Granville}, Trans. Am. Math. Soc. 375, No. 10, 6875--6901 (2022; Zbl 1505.11124) Full Text: DOI arXiv
Bisui, Nantu Kumar; Panda, Geetanjali Adaptive trust region scheme for multi-objective optimization problem using Geršgorin circle theorem. (English) Zbl 1498.49050 J. Appl. Math. Comput. 68, No. 4, 2151-2172 (2022). MSC: 49M37 65K05 65K10 90C26 90C29 PDFBibTeX XMLCite \textit{N. K. Bisui} and \textit{G. Panda}, J. Appl. Math. Comput. 68, No. 4, 2151--2172 (2022; Zbl 1498.49050) Full Text: DOI
Jiang, Yujiao; Lü, Guangshi; Wang, Zhiwei Averaged forms of two conjectures of Erdős and Pomerance, and their applications. (English) Zbl 1506.11125 Adv. Math. 409, Part A, Article ID 108592, 42 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11P55 11N25 11N36 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Adv. Math. 409, Part A, Article ID 108592, 42 p. (2022; Zbl 1506.11125) Full Text: DOI
Bridges, Walter; Franke, Johann; Garnowski, Taylor Asymptotics for the twisted eta-product and applications to sign changes in partitions. (English) Zbl 1504.11109 Res. Math. Sci. 9, No. 4, Paper No. 61, 31 p. (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 11P83 PDFBibTeX XMLCite \textit{W. Bridges} et al., Res. Math. Sci. 9, No. 4, Paper No. 61, 31 p. (2022; Zbl 1504.11109) 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 PDFBibTeX XMLCite \textit{X. Lü}, Chin. Ann. Math., Ser. A 43, No. 1, 103--112 (2022; Zbl 1513.11168) Full Text: DOI
Krause, Ben; Mirek, Mariusz; Tao, Terence Pointwise ergodic theorems for non-conventional bilinear polynomial averages. (English) Zbl 1505.37010 Ann. Math. (2) 195, No. 3, 997-1109 (2022). Reviewer: Michael L. Blank (Moskva) MSC: 37A30 37A44 37A46 42A45 42A50 42A85 43A25 11L03 11L07 11L15 11P55 PDFBibTeX XMLCite \textit{B. Krause} et al., Ann. Math. (2) 195, No. 3, 997--1109 (2022; Zbl 1505.37010) Full Text: DOI arXiv
Homentcovschi, Dorel; Murray, Bruce T. Determination of the Hall voltage for the case of a Hall plate having piecewise constant Hall angle. (English) Zbl 1502.30120 Z. Angew. Math. Phys. 73, No. 5, Paper No. 198, 18 p. (2022). MSC: 30E25 30E10 78A30 PDFBibTeX XMLCite \textit{D. Homentcovschi} and \textit{B. T. Murray}, Z. Angew. Math. Phys. 73, No. 5, Paper No. 198, 18 p. (2022; Zbl 1502.30120) Full Text: DOI
Craig, William On the number of parts in congruence classes for partitions into distinct parts. (English) Zbl 1505.11135 Res. Number Theory 8, No. 3, Paper No. 52, 24 p. (2022). Reviewer: Stephan Wagner (Uppsala) MSC: 11P82 05A17 11P81 PDFBibTeX XMLCite \textit{W. Craig}, Res. Number Theory 8, No. 3, Paper No. 52, 24 p. (2022; Zbl 1505.11135) Full Text: DOI arXiv
Bringmann, Kathrin; Craig, William; Males, Joshua; Ono, Ken Distributions on partitions arising from Hilbert schemes and hook lengths. (English) Zbl 1494.05008 Forum Math. Sigma 10, Paper No. e49, 30 p. (2022). MSC: 05A17 05A15 11P82 14C05 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Forum Math. Sigma 10, Paper No. e49, 30 p. (2022; Zbl 1494.05008) Full Text: DOI arXiv
Ghosh, Amit; Sarnak, Peter Integral points on Markoff type cubic surfaces. (English) Zbl 1510.11088 Invent. Math. 229, No. 2, 689-749 (2022). Reviewer: Victor Wang (Princeton) MSC: 11D25 11D45 PDFBibTeX XMLCite \textit{A. Ghosh} and \textit{P. Sarnak}, Invent. Math. 229, No. 2, 689--749 (2022; Zbl 1510.11088) Full Text: DOI arXiv
Anderson, Theresa C.; Kumchev, Angel V.; Palsson, Eyvindur A. Discrete maximal operators over surfaces of higher codimension. (English) Zbl 1492.42015 Matematica 1, No. 2, 442-479 (2022). MSC: 42B25 11P55 PDFBibTeX XMLCite \textit{T. C. Anderson} et al., Matematica 1, No. 2, 442--479 (2022; Zbl 1492.42015) Full Text: DOI arXiv
Giannitsi, Christina; Lacey, Michael T.; Mousavi, Hamed; Rahimi, Yaghoub Improving and maximal inequalities for primes in progressions. (English) Zbl 1499.11287 Banach J. Math. Anal. 16, No. 3, Paper No. 42, 25 p. (2022). MSC: 11N13 11P55 PDFBibTeX XMLCite \textit{C. Giannitsi} et al., Banach J. Math. Anal. 16, No. 3, Paper No. 42, 25 p. (2022; Zbl 1499.11287) Full Text: DOI arXiv
Ciolan, Alexandru Inequalities between overpartition ranks for all moduli. (English) Zbl 1498.11208 Ramanujan J. 58, No. 2, 463-489 (2022). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P82 11P55 PDFBibTeX XMLCite \textit{A. Ciolan}, Ramanujan J. 58, No. 2, 463--489 (2022; Zbl 1498.11208) Full Text: DOI arXiv
Garnowski, Taylor Asymptotics for Bailey-type mock theta functions. (English) Zbl 1515.11042 Ramanujan J. 58, No. 3, 835-869 (2022). MSC: 11F27 33D15 11M45 11P55 11P82 PDFBibTeX XMLCite \textit{T. Garnowski}, Ramanujan J. 58, No. 3, 835--869 (2022; Zbl 1515.11042) Full Text: DOI arXiv
Krause, Ben; Roos, Joris Discrete analogues of maximally modulated singular integrals of Stein-Wainger type. (English) Zbl 1491.42011 J. Eur. Math. Soc. (JEMS) 24, No. 9, 3183-3213 (2022). Reviewer: Ferit Gürbüz (Hakkari) MSC: 42B15 42B20 42B25 47G10 PDFBibTeX XMLCite \textit{B. Krause} and \textit{J. Roos}, J. Eur. Math. Soc. (JEMS) 24, No. 9, 3183--3213 (2022; Zbl 1491.42011) Full Text: DOI arXiv
Boyer, Simon; Robert, Olivier Rational points on an intersection of diagonal forms. (English) Zbl 1505.11131 Acta Arith. 203, No. 2, 165-194 (2022). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11D72 11D45 11D41 11L07 PDFBibTeX XMLCite \textit{S. Boyer} and \textit{O. Robert}, Acta Arith. 203, No. 2, 165--194 (2022; Zbl 1505.11131) Full Text: DOI arXiv
Yamagishi, Shuntaro Diophantine equations in primes: density of prime points on affine hypersurfaces. (English) Zbl 1504.11057 Duke Math. J. 171, No. 4, 831-884 (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11D45 11D72 11P32 11P55 PDFBibTeX XMLCite \textit{S. Yamagishi}, Duke Math. J. 171, No. 4, 831--884 (2022; Zbl 1504.11057) Full Text: DOI arXiv
Kıral, Eren Mehmet; Kuan, Chan Ieong; Lesesvre, Didier Subconvexity for twisted \(\mathrm{GL}_3\) \(L\)-functions. (English) Zbl 1495.11064 Acta Arith. 202, No. 3, 281-302 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11F66 PDFBibTeX XMLCite \textit{E. M. Kıral} et al., Acta Arith. 202, No. 3, 281--302 (2022; Zbl 1495.11064) Full Text: DOI arXiv
Talmage, Alan Simultaneous cubic and quadratic diagonal equations in 12 prime variables. (English) Zbl 1498.11202 Ramanujan J. 57, No. 3, 863-905 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P32 PDFBibTeX XMLCite \textit{A. Talmage}, Ramanujan J. 57, No. 3, 863--905 (2022; Zbl 1498.11202) Full Text: DOI arXiv
Li, Guoquan The Pintz-Steiger-Szemerédi estimate for intersective quadratic polynomials in function fields. (English) Zbl 1505.11132 Int. J. Number Theory 18, No. 2, 417-466 (2022). Reviewer: Huafeng Liu (Jinan) MSC: 11P55 11T55 PDFBibTeX XMLCite \textit{G. Li}, Int. J. Number Theory 18, No. 2, 417--466 (2022; Zbl 1505.11132) Full Text: DOI
Mastrostefano, Daniele A lower bound for the variance of generalized divisor functions in arithmetic progressions. (English) Zbl 1489.11155 Ramanujan J. 57, No. 2, 623-695 (2022). MSC: 11N64 11B25 PDFBibTeX XMLCite \textit{D. Mastrostefano}, Ramanujan J. 57, No. 2, 623--695 (2022; Zbl 1489.11155) Full Text: DOI arXiv
Zhao, Xiaodong Goldbach-Linnik type problems on cubes of primes. (English) Zbl 1498.11203 Ramanujan J. 57, No. 1, 239-251 (2022). Reviewer: Huafeng Liu (Jinan) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{X. Zhao}, Ramanujan J. 57, No. 1, 239--251 (2022; Zbl 1498.11203) Full Text: DOI
Ren, Xiumin; Zhang, Wei On sums of biquadratic powers with almost equal primes. (English) Zbl 1497.11248 Ramanujan J. 57, No. 1, 71-78 (2022). MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{X. Ren} and \textit{W. Zhang}, Ramanujan J. 57, No. 1, 71--78 (2022; Zbl 1497.11248) Full Text: DOI
Anderson, Theresa C.; Cook, Brian; Hughes, Kevin; Kumchev, Angel On the ergodic Waring-Goldbach problem. (English) Zbl 1489.37008 J. Funct. Anal. 282, No. 5, Article ID 109334, 39 p. (2022). MSC: 37A30 37A44 37A46 PDFBibTeX XMLCite \textit{T. C. Anderson} et al., J. Funct. Anal. 282, No. 5, Article ID 109334, 39 p. (2022; Zbl 1489.37008) Full Text: DOI arXiv
Garnowski, Taylor Asymptotic distribution of odd balanced unimodal sequences with rank congruent to \(a\) modulo \(c\). (English) Zbl 1489.11164 Res. Number Theory 8, No. 1, Paper No. 2, 15 p. (2022); correction ibid. 8, No. 2, Paper No. 20, 1 p. (2022). Reviewer: Mihály Szalay (Budapest) MSC: 11P82 05A17 11F37 PDFBibTeX XMLCite \textit{T. Garnowski}, Res. Number Theory 8, No. 1, Paper No. 2, 15 p. (2022; Zbl 1489.11164) Full Text: DOI arXiv
Zhao, Lilu Translation invariant quadratic forms and dense sets of primes. (English) Zbl 1500.11026 Trans. Am. Math. Soc. 375, No. 1, 725-752 (2022). Reviewer: Kaisa Matomäki (Turku) MSC: 11D09 11P55 11N36 PDFBibTeX XMLCite \textit{L. Zhao}, Trans. Am. Math. Soc. 375, No. 1, 725--752 (2022; Zbl 1500.11026) Full Text: DOI arXiv
Mallesham, Kummari; Prakash, Gyan; Ramana, D. S. Representation of integers as monochromatic sums of squares of primes. (English) Zbl 1495.11114 J. Number Theory 231, 102-119 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N36 11P99 PDFBibTeX XMLCite \textit{K. Mallesham} et al., J. Number Theory 231, 102--119 (2022; Zbl 1495.11114) Full Text: DOI
Gafni, Ayla Partitions into prime powers. (English) Zbl 1523.11180 Mathematika 67, No. 2, 468-488 (2021). MSC: 11P55 11P82 11L07 11L20 PDFBibTeX XMLCite \textit{A. Gafni}, Mathematika 67, No. 2, 468--488 (2021; Zbl 1523.11180) Full Text: DOI arXiv
Kumchev, Angel V. On a two-dimensional exponential sum. (English) Zbl 1521.11053 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 371-383 (2021). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L15 11P55 PDFBibTeX XMLCite \textit{A. V. Kumchev}, Springer Proc. Math. Stat. 347, 371--383 (2021; Zbl 1521.11053) Full Text: DOI
Zagier, Don Power partitions and a generalized eta transformation property. (English) Zbl 1503.11134 Hardy-Ramanujan J. 44, 1-18 (2021). Reviewer: Emil Alexandru Ciolan (Bonn) MSC: 11P82 05A18 PDFBibTeX XMLCite \textit{D. Zagier}, Hardy-Ramanujan J. 44, 1--18 (2021; Zbl 1503.11134) Full Text: DOI HAL
Sofos, Efthymios; Visse-Martindale, Erik The density of fibres with a rational point for a fibration over hypersurfaces of low degree. (La densité des fibres possédant un point rationnel pour une fibration au-dessus d’une hypersurface de bas degré.) (English. French summary) Zbl 1487.14058 Ann. Inst. Fourier 71, No. 2, 679-709 (2021). MSC: 14G05 11D85 11G35 11P55 14D06 14D10 PDFBibTeX XMLCite \textit{E. Sofos} and \textit{E. Visse-Martindale}, Ann. Inst. Fourier 71, No. 2, 679--709 (2021; Zbl 1487.14058) Full Text: DOI arXiv
Liu, Jianya; Zhao, Lilu Representation by sums of unlike powers. (English) Zbl 1487.11089 J. Reine Angew. Math. 781, 19-55 (2021). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Liu} and \textit{L. Zhao}, J. Reine Angew. Math. 781, 19--55 (2021; Zbl 1487.11089) Full Text: DOI arXiv
Hu, Guangwei; Lü, Guangshi Shifted convolution sums of \(\mathrm{GL}(m)\) cusp forms with \(\Theta\)-series. (English) Zbl 1475.11077 Ramanujan J. 56, No. 2, 555-584 (2021). MSC: 11F30 11P55 PDFBibTeX XMLCite \textit{G. Hu} and \textit{G. Lü}, Ramanujan J. 56, No. 2, 555--584 (2021; Zbl 1475.11077) Full Text: DOI
Li, Jinjiang; Zhang, Min; Zhao, Yuetong Slim exceptional set for sums of mixed powers of primes. (English) Zbl 1478.11113 Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 29, 25 p. (2021). MSC: 11P05 11P32 11P55 PDFBibTeX XMLCite \textit{J. Li} et al., Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 29, 25 p. (2021; Zbl 1478.11113) Full Text: DOI
Baker, Roger Some Diophantine equations and inequalities with primes. (English) Zbl 1484.11195 Funct. Approximatio, Comment. Math. 64, No. 2, 203-250 (2021). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P32 11P55 11N36 11D75 PDFBibTeX XMLCite \textit{R. Baker}, Funct. Approximatio, Comment. Math. 64, No. 2, 203--250 (2021; Zbl 1484.11195) Full Text: DOI arXiv
Yau, Kam Hung Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer. (English) Zbl 1483.11221 Funct. Approximatio, Comment. Math. 64, No. 1, 77-108 (2021). Reviewer: Maurizio Laporta (Napoli) MSC: 11P32 11P55 11T23 PDFBibTeX XMLCite \textit{K. H. Yau}, Funct. Approximatio, Comment. Math. 64, No. 1, 77--108 (2021; Zbl 1483.11221) Full Text: DOI arXiv
Li, Weiping Small prime solutions of a Diophantine equation with one prime and five cubes of primes. (English) Zbl 1484.11197 Funct. Approximatio, Comment. Math. 64, No. 1, 47-69 (2021). MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{W. Li}, Funct. Approximatio, Comment. Math. 64, No. 1, 47--69 (2021; Zbl 1484.11197) Full Text: DOI
Browning, Tim Cubic forms and the circle method. (English) Zbl 1493.11003 Progress in Mathematics 343. Cham: Birkhäuser (ISBN 978-3-030-86871-0/hbk; 978-3-030-86872-7/ebook). xiv, 166 p. (2021). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11Dxx 11P55 11E76 PDFBibTeX XMLCite \textit{T. Browning}, Cubic forms and the circle method. Cham: Birkhäuser (2021; Zbl 1493.11003) Full Text: DOI
Mallesham, Kummari On pairs of quadratic forms in five variables. (English) Zbl 1493.11072 Int. J. Number Theory 17, No. 9, 2055-2070 (2021). Reviewer: Yong Zhang (Changsha) MSC: 11D45 11D72 11E10 11N36 11P55 PDFBibTeX XMLCite \textit{K. Mallesham}, Int. J. Number Theory 17, No. 9, 2055--2070 (2021; Zbl 1493.11072) Full Text: DOI arXiv
Cladek, Laura; Durcik, Polona; Krause, Ben; Madrid, José Directional maximal function along the primes. (English) Zbl 1480.42025 Publ. Mat., Barc. 65, No. 2, 841-858 (2021). Reviewer: Eyvindur Ari Palsson (Blacksburg) MSC: 42B25 39A12 11P55 PDFBibTeX XMLCite \textit{L. Cladek} et al., Publ. Mat., Barc. 65, No. 2, 841--858 (2021; Zbl 1480.42025) Full Text: DOI arXiv
Li, Jinjiang; Zhang, Min; Zhao, Haonan Exceptional set in Waring-Goldbach problem involving squares, cubes and sixth powers. (English) Zbl 1488.11154 Stud. Sci. Math. Hung. 58, No. 1, 84-103 (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11P05 11P32 11P55 PDFBibTeX XMLCite \textit{J. Li} et al., Stud. Sci. Math. Hung. 58, No. 1, 84--103 (2021; Zbl 1488.11154) Full Text: DOI
Craig, William; Pun, Anna Distribution properties for \(t\)-hooks in partitions. (English) Zbl 1472.05015 Ann. Comb. 25, No. 3, 677-695 (2021). MSC: 05A17 05A15 11P83 PDFBibTeX XMLCite \textit{W. Craig} and \textit{A. Pun}, Ann. Comb. 25, No. 3, 677--695 (2021; Zbl 1472.05015) Full Text: DOI arXiv