Chern, Shane Nonmodular infinite products and a conjecture of Seo and Yee. (English) Zbl 07662135 Adv. Math. 417, Article ID 108932, 40 p. (2023). MSC: 11P55 11P82 PDF BibTeX XML Cite \textit{S. Chern}, Adv. Math. 417, Article ID 108932, 40 p. (2023; Zbl 07662135) Full Text: DOI arXiv OpenURL
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). MSC: 11P55 11N37 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Ramanujan J. 60, No. 2, 485--504 (2023; Zbl 07659063) Full Text: DOI OpenURL
Li, Boyang; Wang, Yuchao Diophantine approximation with prime variables and mixed powers. (English) Zbl 07659057 Ramanujan J. 60, No. 2, 371-389 (2023). MSC: 11D75 11P32 PDF BibTeX XML Cite \textit{B. Li} and \textit{Y. Wang}, Ramanujan J. 60, No. 2, 371--389 (2023; Zbl 07659057) Full Text: DOI OpenURL
Wei, Zhining Sums of \(k\)-th powers and Fourier coefficients of cusp forms. (English) Zbl 07659054 Ramanujan J. 60, No. 2, 295-316 (2023). MSC: 11F30 11P05 11P55 PDF BibTeX XML Cite \textit{Z. Wei}, Ramanujan J. 60, No. 2, 295--316 (2023; Zbl 07659054) Full Text: DOI OpenURL
Maier, Helmut; Rassias, Michael Th. The ternary Goldbach problem with two Piatetski-Shapiro primes and a prime with a missing digit. (English) Zbl 07654819 Commun. Contemp. Math. 25, No. 2, Article ID 2150101, 45 p. (2023). MSC: 11P32 11N05 11A63 PDF BibTeX XML Cite \textit{H. Maier} and \textit{M. Th. Rassias}, Commun. Contemp. Math. 25, No. 2, Article ID 2150101, 45 p. (2023; Zbl 07654819) Full Text: DOI arXiv OpenURL
Akbal, Yıldırım; Güloğlu, Ahmet M. Variations on a theme of Mirsky. (English) Zbl 07654420 Int. J. Number Theory 19, No. 1, 1-39 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11N05 11P55 PDF BibTeX XML Cite \textit{Y. Akbal} and \textit{A. M. Güloğlu}, Int. J. Number Theory 19, No. 1, 1--39 (2023; Zbl 07654420) Full Text: DOI OpenURL
Sardari, Naser Talebizadeh; Zargar, Masoud Optimal strong approximation for quadrics over \(\mathbb{F}_q [t]\). (English) Zbl 07646174 Adv. Math. 413, Article ID 108852, 62 p. (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11G35 11E12 11P55 11R58 14G12 05C12 PDF BibTeX XML Cite \textit{N. T. Sardari} and \textit{M. Zargar}, Adv. Math. 413, Article ID 108852, 62 p. (2023; Zbl 07646174) Full Text: DOI arXiv OpenURL
Hu, Guangwei; Lü, Guangshi Jutila’s circle method and \(\mathrm{GL}(2) \times \mathrm{GL}(2)\) shifted convolution sums. (English) Zbl 07595075 J. Number Theory 242, 709-724 (2023). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F30 11F66 11E76 11P55 PDF BibTeX XML Cite \textit{G. Hu} and \textit{G. Lü}, J. Number Theory 242, 709--724 (2023; Zbl 07595075) Full Text: DOI OpenURL
Kong, Yafang An asymptotic formula for the number of prime solutions for multivariate linear equations. (English) Zbl 07662755 Front. Math. China 17, No. 6, 1001-1013 (2022); translation from Adv. Math., Beijing 51, No. 4, 661-672 (2022). MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{Y. Kong}, Front. Math. China 17, No. 6, 1001--1013 (2022; Zbl 07662755); translation from Adv. Math., Beijing 51, No. 4, 661--672 (2022) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Q. Zhang}, Czech. Math. J. 72, No. 4, 1167--1174 (2022; Zbl 07655791) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{G. Hua}, Czech. Math. J. 72, No. 4, 1047--1054 (2022; Zbl 07655781) Full Text: DOI OpenURL
Hathi, Shehzad Representation of even integers as a sum of squares of primes and powers of two. (English) Zbl 07654976 Acta Arith. 206, No. 4, 353-372 (2022). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{S. Hathi}, Acta Arith. 206, No. 4, 353--372 (2022; Zbl 07654976) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{G.-L. Zhou} and \textit{Y. Ding}, Ramanujan J. 59, No. 3, 933--945 (2022; Zbl 1498.11200) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Z. Ge}, Mosc. J. Comb. Number Theory 11, No. 3, 247--261 (2022; Zbl 07602923) Full Text: DOI OpenURL
de la Bretèche, Régis; Granville, Andrew Exponential sums with multiplicative coefficients and applications. (English) Zbl 07599873 Trans. Am. Math. Soc. 375, No. 10, 6875-6901 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11L03 11P55 PDF BibTeX XML Cite \textit{R. de la Bretèche} and \textit{A. Granville}, Trans. Am. Math. Soc. 375, No. 10, 6875--6901 (2022; Zbl 07599873) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{N. K. Bisui} and \textit{G. Panda}, J. Appl. Math. Comput. 68, No. 4, 2151--2172 (2022; Zbl 1498.49050) Full Text: DOI OpenURL
Jiang, Yujiao; Lü, Guangshi; Wang, Zhiwei Averaged forms of two conjectures of Erdős and Pomerance, and their applications. (English) Zbl 07597085 Adv. Math. 409 A, Article ID 108592, 42 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11P55 11N25 11N36 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Adv. Math. 409 A, Article ID 108592, 42 p. (2022; Zbl 07597085) Full Text: DOI OpenURL
Bridges, Walter; Franke, Johann; Garnowski, Taylor Asymptotics for the twisted eta-product and applications to sign changes in partitions. (English) Zbl 07595104 Res. Math. Sci. 9, No. 4, Paper No. 61, 31 p. (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 11P83 PDF BibTeX XML Cite \textit{W. Bridges} et al., Res. Math. Sci. 9, No. 4, Paper No. 61, 31 p. (2022; Zbl 07595104) Full Text: DOI arXiv OpenURL
Lü, Xiaodong Two prime squares, four prime cubes and powers of 2. (Chinese. English summary) Zbl 07592832 Chin. Ann. Math., Ser. A 43, No. 1, 103-112 (2022). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Lü}, Chin. Ann. Math., Ser. A 43, No. 1, 103--112 (2022; Zbl 07592832) Full Text: DOI OpenURL
Krause, Ben; Mirek, Mariusz; Tao, Terence Pointwise ergodic theorems for non-conventional bilinear polynomial averages. (English) Zbl 07583004 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 PDF BibTeX XML Cite \textit{B. Krause} et al., Ann. Math. (2) 195, No. 3, 997--1109 (2022; Zbl 07583004) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Craig, William On the number of parts in congruence classes for partitions into distinct parts. (English) Zbl 07572644 Res. Number Theory 8, No. 3, Paper No. 52, 24 p. (2022). Reviewer: Stephan Wagner (Uppsala) MSC: 11P82 05A17 11P81 PDF BibTeX XML Cite \textit{W. Craig}, Res. Number Theory 8, No. 3, Paper No. 52, 24 p. (2022; Zbl 07572644) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{K. Bringmann} et al., Forum Math. Sigma 10, Paper No. e49, 30 p. (2022; Zbl 1494.05008) Full Text: DOI arXiv OpenURL
Ghosh, Amit; Sarnak, Peter Integral points on Markoff type cubic surfaces. (English) Zbl 07554479 Invent. Math. 229, No. 2, 689-749 (2022). Reviewer: Victor Wang (Princeton) MSC: 11D25 11D45 PDF BibTeX XML Cite \textit{A. Ghosh} and \textit{P. Sarnak}, Invent. Math. 229, No. 2, 689--749 (2022; Zbl 07554479) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{T. C. Anderson} et al., Matematica 1, No. 2, 442--479 (2022; Zbl 1492.42015) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{A. Ciolan}, Ramanujan J. 58, No. 2, 463--489 (2022; Zbl 1498.11208) Full Text: DOI arXiv OpenURL
Garnowski, Taylor Asymptotics for Bailey-type mock theta functions. (English) Zbl 07540787 Ramanujan J. 58, No. 3, 835-869 (2022). MSC: 33D15 11M45 11P55 11P82 PDF BibTeX XML Cite \textit{T. Garnowski}, Ramanujan J. 58, No. 3, 835--869 (2022; Zbl 07540787) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Boyer, Simon; Robert, Olivier Rational points on an intersection of diagonal forms. (English) Zbl 07527816 Acta Arith. 203, No. 2, 165-194 (2022). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11D72 11D45 11D41 11L07 PDF BibTeX XML Cite \textit{S. Boyer} and \textit{O. Robert}, Acta Arith. 203, No. 2, 165--194 (2022; Zbl 07527816) Full Text: DOI arXiv OpenURL
Yamagishi, Shuntaro Diophantine equations in primes: density of prime points on affine hypersurfaces. (English) Zbl 07500565 Duke Math. J. 171, No. 4, 831-884 (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11D45 11D72 11P32 11P55 PDF BibTeX XML Cite \textit{S. Yamagishi}, Duke Math. J. 171, No. 4, 831--884 (2022; Zbl 07500565) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{E. M. Kıral} et al., Acta Arith. 202, No. 3, 281--302 (2022; Zbl 1495.11064) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Talmage}, Ramanujan J. 57, No. 3, 863--905 (2022; Zbl 1498.11202) Full Text: DOI arXiv OpenURL
Li, Guoquan The Pintz-Steiger-Szemerédi estimate for intersective quadratic polynomials in function fields. (English) Zbl 07488471 Int. J. Number Theory 18, No. 2, 417-466 (2022). Reviewer: Huafeng Liu (Jinan) MSC: 11P55 11T55 PDF BibTeX XML Cite \textit{G. Li}, Int. J. Number Theory 18, No. 2, 417--466 (2022; Zbl 07488471) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. Mastrostefano}, Ramanujan J. 57, No. 2, 623--695 (2022; Zbl 1489.11155) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{X. Zhao}, Ramanujan J. 57, No. 1, 239--251 (2022; Zbl 1498.11203) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{X. Ren} and \textit{W. Zhang}, Ramanujan J. 57, No. 1, 71--78 (2022; Zbl 1497.11248) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{T. Garnowski}, Res. Number Theory 8, No. 1, Paper No. 2, 15 p. (2022; Zbl 1489.11164) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. Zhao}, Trans. Am. Math. Soc. 375, No. 1, 725--752 (2022; Zbl 1500.11026) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{K. Mallesham} et al., J. Number Theory 231, 102--119 (2022; Zbl 1495.11114) Full Text: DOI OpenURL
Kumchev, Angel V. On a two-dimensional exponential sum. (English) Zbl 07620505 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). MSC: 11L15 11P55 PDF BibTeX XML Cite \textit{A. V. Kumchev}, Springer Proc. Math. Stat. 347, 371--383 (2021; Zbl 07620505) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. Zagier}, Hardy-Ramanujan J. 44, 1--18 (2021; Zbl 1503.11134) Full Text: DOI HAL OpenURL
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 PDF BibTeX XML Cite \textit{E. Sofos} and \textit{E. Visse-Martindale}, Ann. Inst. Fourier 71, No. 2, 679--709 (2021; Zbl 1487.14058) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Liu} and \textit{L. Zhao}, J. Reine Angew. Math. 781, 19--55 (2021; Zbl 1487.11089) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{G. Hu} and \textit{G. Lü}, Ramanujan J. 56, No. 2, 555--584 (2021; Zbl 1475.11077) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{R. Baker}, Funct. Approximatio, Comment. Math. 64, No. 2, 203--250 (2021; Zbl 1484.11195) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{K. H. Yau}, Funct. Approximatio, Comment. Math. 64, No. 1, 77--108 (2021; Zbl 1483.11221) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{W. Li}, Funct. Approximatio, Comment. Math. 64, No. 1, 47--69 (2021; Zbl 1484.11197) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Browning}, Cubic forms and the circle method. Cham: Birkhäuser (2021; Zbl 1493.11003) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{K. Mallesham}, Int. J. Number Theory 17, No. 9, 2055--2070 (2021; Zbl 1493.11072) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. Cladek} et al., Publ. Mat., Barc. 65, No. 2, 841--858 (2021; Zbl 1480.42025) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Li} et al., Stud. Sci. Math. Hung. 58, No. 1, 84--103 (2021; Zbl 1488.11154) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{W. Craig} and \textit{A. Pun}, Ann. Comb. 25, No. 3, 677--695 (2021; Zbl 1472.05015) Full Text: DOI arXiv OpenURL
Wainger, Stephen An introduction to the circle method of Hardy, Littlewood, and Ramanujan. (English) Zbl 1496.11128 J. Geom. Anal. 31, No. 9, 9113-9130 (2021). MSC: 11P55 11E25 11P32 11-02 PDF BibTeX XML Cite \textit{S. Wainger}, J. Geom. Anal. 31, No. 9, 9113--9130 (2021; Zbl 1496.11128) Full Text: DOI OpenURL
Luo, Wenzhi Sums of \(k\)-th powers and the Whittaker-Fourier coefficients of automorphic forms. (English) Zbl 1487.11045 Ramanujan J. 55, No. 3, 1165-1175 (2021). Reviewer: Grant Molnar (Hanover) MSC: 11F30 11P55 11P05 PDF BibTeX XML Cite \textit{W. Luo}, Ramanujan J. 55, No. 3, 1165--1175 (2021; Zbl 1487.11045) Full Text: DOI OpenURL
Chern, Shane Asymptotics for the Taylor coefficients of certain infinite products. (English) Zbl 1482.11136 Ramanujan J. 55, No. 3, 987-1014 (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P55 PDF BibTeX XML Cite \textit{S. Chern}, Ramanujan J. 55, No. 3, 987--1014 (2021; Zbl 1482.11136) Full Text: DOI arXiv OpenURL
Lapkova, Kostadinka; Zhou, Nian Hong On the average sum of the \(k\) th divisor function over values of quadratic polynomials. (English) Zbl 1478.11117 Ramanujan J. 55, No. 3, 849-872 (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P55 11L07 11N37 PDF BibTeX XML Cite \textit{K. Lapkova} and \textit{N. H. Zhou}, Ramanujan J. 55, No. 3, 849--872 (2021; Zbl 1478.11117) Full Text: DOI arXiv OpenURL
Han, Rui; Lacey, Michael T.; Yang, Fan Averages along the square integers \(\ell\) p-improving and sparse inequalities. (English) Zbl 1469.11265 Tunis. J. Math. 3, No. 3, 517-550 (2021). MSC: 11L05 11L07 11P55 42A45 PDF BibTeX XML Cite \textit{R. Han} et al., Tunis. J. Math. 3, No. 3, 517--550 (2021; Zbl 1469.11265) Full Text: DOI arXiv OpenURL
Eminyan, Karapet M. Hua Loo-Keng’s problem for primes of a special form. (English. Russian original) Zbl 1479.11172 Sb. Math. 212, No. 4, 592-603 (2021); translation from Mat. Sb. 212, No. 4, 159-170 (2021). MSC: 11P05 11P32 PDF BibTeX XML Cite \textit{K. M. Eminyan}, Sb. Math. 212, No. 4, 592--603 (2021; Zbl 1479.11172); translation from Mat. Sb. 212, No. 4, 159--170 (2021) Full Text: DOI OpenURL
Feng, Zhenzhen; Liu, Zhixin Exceptional sets in Waring-Goldbach problem for fifth powers. (English) Zbl 1479.11173 Front. Math. China 16, No. 1, 49-58 (2021). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{Z. Feng} and \textit{Z. Liu}, Front. Math. China 16, No. 1, 49--58 (2021; Zbl 1479.11173) Full Text: DOI OpenURL
Mozzochi, C. J. A new circle method attack on twin primes. (English) Zbl 1475.11164 Indian J. Math. 63, No. 1, 95-102 (2021). MSC: 11N05 11P32 11M41 PDF BibTeX XML Cite \textit{C. J. Mozzochi}, Indian J. Math. 63, No. 1, 95--102 (2021; Zbl 1475.11164) OpenURL
Hu, Guangwei; Hu, Weiwei Average behavior of the triple divisor function over values of quadratic form. (English) Zbl 1478.11057 Lith. Math. J. 61, No. 1, 37-55 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11P55 PDF BibTeX XML Cite \textit{G. Hu} and \textit{W. Hu}, Lith. Math. J. 61, No. 1, 37--55 (2021; Zbl 1478.11057) Full Text: DOI OpenURL
Frankl, Peter Old and new applications of Katona’s circle. (English) Zbl 1466.05205 Eur. J. Comb. 95, Article ID 103339, 21 p. (2021). MSC: 05D05 05A05 PDF BibTeX XML Cite \textit{P. Frankl}, Eur. J. Comb. 95, Article ID 103339, 21 p. (2021; Zbl 1466.05205) Full Text: DOI arXiv OpenURL
Hu, Liqun; Kong, Yafang; Liu, Zhixin A pair of equations in four prime squares and powers of 2. (English) Zbl 1469.11395 Ramanujan J. 54, No. 1, 79-92 (2021). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{L. Hu} et al., Ramanujan J. 54, No. 1, 79--92 (2021; Zbl 1469.11395) Full Text: DOI OpenURL
Zhang, Min; Li, Jinjiang Exceptional set for sums of unlike powers of primes. II. (English) Zbl 1473.11186 Ramanujan J. 55, No. 1, 131-140 (2021). MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 55, No. 1, 131--140 (2021; Zbl 1473.11186) Full Text: DOI OpenURL
Hu, Guangwei; Lü, Guangshi Sums of higher divisor functions. (English) Zbl 1466.11065 J. Number Theory 220, 61-74 (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11E25 11P55 PDF BibTeX XML Cite \textit{G. Hu} and \textit{G. Lü}, J. Number Theory 220, 61--74 (2021; Zbl 1466.11065) Full Text: DOI OpenURL
Cai, Yong; Hu, Liqun A pair of equations in unlike powers of primes and powers of 2. (English) Zbl 1475.11182 Open Math. 18, 662-670 (2020). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{Y. Cai} and \textit{L. Hu}, Open Math. 18, 662--670 (2020; Zbl 1475.11182) Full Text: DOI OpenURL
Perelomov, A. M. The projection method in classical mechanics. (English) Zbl 1503.70011 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 458, 109-132 (2020). Reviewer: Božidar Jovanović (Beograd) MSC: 70H06 37J35 PDF BibTeX XML Cite \textit{A. M. Perelomov}, Lond. Math. Soc. Lect. Note Ser. 458, 109--132 (2020; Zbl 1503.70011) Full Text: Link OpenURL
Bundschuh, Peter; Väänänen, Keijo Arithmetical results on some infinite products. (English) Zbl 1479.11128 Funct. Approximatio, Comment. Math. 63, No. 2, 181-188 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J82 11J91 PDF BibTeX XML Cite \textit{P. Bundschuh} and \textit{K. Väänänen}, Funct. Approximatio, Comment. Math. 63, No. 2, 181--188 (2020; Zbl 1479.11128) Full Text: DOI OpenURL
Shi, Yong-Guo Differentiable solutions of the Feigenbaum-Kadanoff-Shenker equation. (English) Zbl 1465.39013 Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4575-4583 (2020). MSC: 39B12 39B22 37E10 37E05 PDF BibTeX XML Cite \textit{Y.-G. Shi}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4575--4583 (2020; Zbl 1465.39013) Full Text: DOI OpenURL
Zhao, Xiaodong Exceptional set of Waring-Goldbach problem with unequal powers of primes. (English) Zbl 1458.11143 Taiwanese J. Math. 24, No. 4, 817-824 (2020). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Zhao}, Taiwanese J. Math. 24, No. 4, 817--824 (2020; Zbl 1458.11143) Full Text: DOI Euclid OpenURL
Browning, Tim D.; Sawin, Will Free rational points on smooth hypersurfaces. (English) Zbl 1462.11083 Comment. Math. Helv. 95, No. 4, 635-659 (2020). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P55 11D45 14G05 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{W. Sawin}, Comment. Math. Helv. 95, No. 4, 635--659 (2020; Zbl 1462.11083) Full Text: DOI arXiv OpenURL
Bridges, Walter Partitions into distinct parts with bounded largest part. (English) Zbl 1456.05009 Res. Number Theory 6, No. 4, Paper No. 40, 18 p. (2020). MSC: 05A17 11P82 60C05 PDF BibTeX XML Cite \textit{W. Bridges}, Res. Number Theory 6, No. 4, Paper No. 40, 18 p. (2020; Zbl 1456.05009) Full Text: DOI arXiv OpenURL
Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander Local laws for non-Hermitian random matrices and their products. (English) Zbl 1472.60009 Random Matrices Theory Appl. 9, No. 4, Article ID 2150004, 53 p. (2020). MSC: 60B20 15B52 60B10 PDF BibTeX XML Cite \textit{F. Götze} et al., Random Matrices Theory Appl. 9, No. 4, Article ID 2150004, 53 p. (2020; Zbl 1472.60009) Full Text: DOI arXiv OpenURL
Browning, T. D.; Heath-Brown, D. R. Density of rational points on a quadric bundle in \(\mathbb{P}^3 \times \mathbb{P}^3 \). (English) Zbl 1477.11058 Duke Math. J. 169, No. 16, 3099-3165 (2020). Reviewer: Emiliano Ambrosi (Strasbourg) MSC: 11D45 11G50 11P55 14G05 14G25 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{D. R. Heath-Brown}, Duke Math. J. 169, No. 16, 3099--3165 (2020; Zbl 1477.11058) Full Text: DOI arXiv Euclid OpenURL
Yueh, Mei-Heng; Li, Tiexiang; Lin, Wen-Wei; Yau, Shing-Tung A new efficient algorithm for volume-preserving parameterizations of genus-one 3-manifolds. (English) Zbl 1457.65016 SIAM J. Imaging Sci. 13, No. 3, 1536-1564 (2020). MSC: 65D18 68U05 52C26 PDF BibTeX XML Cite \textit{M.-H. Yueh} et al., SIAM J. Imaging Sci. 13, No. 3, 1536--1564 (2020; Zbl 1457.65016) Full Text: DOI OpenURL
Languasco, Alessandro; Zaccagnini, Alessandro Short intervals asymptotic formulae for binary problems with prime powers. II. (English) Zbl 1469.11396 J. Aust. Math. Soc. 109, No. 3, 351-370 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{A. Languasco} and \textit{A. Zaccagnini}, J. Aust. Math. Soc. 109, No. 3, 351--370 (2020; Zbl 1469.11396) Full Text: DOI arXiv OpenURL
Hughes, Kevin \(\ell^p\)-improving for discrete spherical averages. (Gain d’intégrabilité \(\ell^p\) pour les moyennes sphériques discrètes.) (English. French summary) Zbl 1459.42026 Ann. Henri Lebesgue 3, 959-980 (2020). MSC: 42B25 11P05 11P55 11L07 PDF BibTeX XML Cite \textit{K. Hughes}, Ann. Henri Lebesgue 3, 959--980 (2020; Zbl 1459.42026) Full Text: DOI arXiv OpenURL
Liu, Huake; Wang, Tianqin Exponential sums over primes in arithmetic progressions. (English) Zbl 1463.11137 Pure Appl. Math. 36, No. 1, 31-42 (2020). MSC: 11L07 11L20 PDF BibTeX XML Cite \textit{H. Liu} and \textit{T. Wang}, Pure Appl. Math. 36, No. 1, 31--42 (2020; Zbl 1463.11137) Full Text: DOI OpenURL
Holmes, David; Rome, Nick Fields of definition of rational curves of a given degree. (English. French summary) Zbl 1466.14029 J. Théor. Nombres Bordx. 32, No. 1, 291-310 (2020). Reviewer: B. Z. Moroz (Bonn) MSC: 14H10 14J70 14N35 11N36 11P55 14G05 PDF BibTeX XML Cite \textit{D. Holmes} and \textit{N. Rome}, J. Théor. Nombres Bordx. 32, No. 1, 291--310 (2020; Zbl 1466.14029) Full Text: DOI arXiv OpenURL
Zhao, Xiaodong; Ge, Wenxu Eight cubes of primes and 204 powers of 2. (English) Zbl 1470.11257 Int. J. Number Theory 16, No. 7, 1547-1555 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{W. Ge}, Int. J. Number Theory 16, No. 7, 1547--1555 (2020; Zbl 1470.11257) Full Text: DOI OpenURL
Eminyan, Karapet M. Waring’s problem in natural numbers of special form. (English. Russian original) Zbl 1451.11090 Sb. Math. 211, No. 5, 733-749 (2020); translation from Mat. Sb. 211, No. 5, 126-142 (2020). MSC: 11L07 11A63 11P05 PDF BibTeX XML Cite \textit{K. M. Eminyan}, Sb. Math. 211, No. 5, 733--749 (2020; Zbl 1451.11090); translation from Mat. Sb. 211, No. 5, 126--142 (2020) Full Text: DOI OpenURL
Liu, Zhixin; Zhang, Rui Small solutions of an equation with unequal powers of primes. (English) Zbl 1459.11196 Acta Arith. 195, No. 1, 57-68 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P32 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{R. Zhang}, Acta Arith. 195, No. 1, 57--68 (2020; Zbl 1459.11196) Full Text: DOI OpenURL
van Ittersum, Jan-Willem M. Quantitative results on Diophantine equations in many variables. (English) Zbl 1461.11053 Acta Arith. 194, No. 3, 219-240 (2020). MSC: 11D72 11D45 11P55 14G12 PDF BibTeX XML Cite \textit{J.-W. M. van Ittersum}, Acta Arith. 194, No. 3, 219--240 (2020; Zbl 1461.11053) Full Text: DOI arXiv OpenURL
Zhang, Yunfeng Strichartz estimates for the Schrödinger flow on compact Lie groups. (English) Zbl 1445.58010 Anal. PDE 13, No. 4, 1173-1219 (2020). Reviewer: Salvatore Ivan Trapasso (Torino) MSC: 58J05 35R02 42B37 22E30 PDF BibTeX XML Cite \textit{Y. Zhang}, Anal. PDE 13, No. 4, 1173--1219 (2020; Zbl 1445.58010) Full Text: DOI arXiv OpenURL
Rice, Alex Binary quadratic forms in difference sets. (English) Zbl 1472.11060 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory III. Papers based on talks given at the CANT 2017 and 2018 workshops, New York, NY, USA, May 2017 and May 2018. Cham: Springer. Springer Proc. Math. Stat. 297, 175-196 (2020). MSC: 11B30 11B13 11E12 11E16 PDF BibTeX XML Cite \textit{A. Rice}, Springer Proc. Math. Stat. 297, 175--196 (2020; Zbl 1472.11060) Full Text: DOI arXiv OpenURL
Salmensuu, Juho On the Waring-Goldbach problem with almost equal summands. (English) Zbl 1471.11253 Mathematika 66, No. 2, 255-296 (2020). Reviewer: Sam Chow (Coventry) MSC: 11P05 11P32 11P55 11B30 PDF BibTeX XML Cite \textit{J. Salmensuu}, Mathematika 66, No. 2, 255--296 (2020; Zbl 1471.11253) Full Text: DOI arXiv OpenURL
Hu, L. Q. Counting rational points on biprojective hypersurfaces of bidegree \((1,2)\). (English) Zbl 1486.11049 J. Number Theory 214, 312-325 (2020). Reviewer: David McKinnon (Waterloo) MSC: 11D45 11G35 11G50 11P55 14G25 PDF BibTeX XML Cite \textit{L. Q. Hu}, J. Number Theory 214, 312--325 (2020; Zbl 1486.11049) Full Text: DOI OpenURL
Iskander, Jonas; Jain, Vanshika; Talvola, Victoria Exact formulae for the fractional partition functions. (English) Zbl 1445.11116 Res. Number Theory 6, No. 2, Paper No. 20, 17 p. (2020). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 11P55 PDF BibTeX XML Cite \textit{J. Iskander} et al., Res. Number Theory 6, No. 2, Paper No. 20, 17 p. (2020; Zbl 1445.11116) Full Text: DOI arXiv OpenURL
Suzuki, Yuta On prime vs. prime power pairs. (English) Zbl 1476.11131 Math. Z. 295, No. 1-2, 681-710 (2020). Reviewer: Temenoujka Peneva (Plovdiv) MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{Y. Suzuki}, Math. Z. 295, No. 1--2, 681--710 (2020; Zbl 1476.11131) Full Text: DOI arXiv OpenURL
Xiao, Stanley Yao; Yamagishi, Shuntaro Zeroes of polynomials with prime inputs and Schmidt’s \(h\)-invariant. (English) Zbl 1489.11054 Can. J. Math. 72, No. 3, 805-833 (2020). Reviewer: Temenoujka Peneva (Plovdiv) MSC: 11D72 11P32 11P55 PDF BibTeX XML Cite \textit{S. Y. Xiao} and \textit{S. Yamagishi}, Can. J. Math. 72, No. 3, 805--833 (2020; Zbl 1489.11054) Full Text: DOI arXiv OpenURL
Browning, Tim; Sawin, Will A geometric version of the circle method. (English) Zbl 1493.14047 Ann. Math. (2) 191, No. 3, 893-948 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14H10 11P55 14F20 14G05 PDF BibTeX XML Cite \textit{T. Browning} and \textit{W. Sawin}, Ann. Math. (2) 191, No. 3, 893--948 (2020; Zbl 1493.14047) Full Text: DOI arXiv OpenURL
Jennings-Shaffer, Chris; Reihill, Dillon Asymptotic formulas related to the \(M_2\)-rank of partitions without repeated odd parts. (English) Zbl 1445.11117 Ramanujan J. 52, No. 1, 175-242 (2020). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P82 11P81 PDF BibTeX XML Cite \textit{C. Jennings-Shaffer} and \textit{D. Reihill}, Ramanujan J. 52, No. 1, 175--242 (2020; Zbl 1445.11117) Full Text: DOI arXiv OpenURL
Anderson, Theresa C. Quantitative \(l^p\)-improving for discrete spherical averages along the primes. (English) Zbl 1436.42026 J. Fourier Anal. Appl. 26, No. 2, Paper No. 32, 12 p. (2020). MSC: 42B25 42B20 42B15 PDF BibTeX XML Cite \textit{T. C. Anderson}, J. Fourier Anal. Appl. 26, No. 2, Paper No. 32, 12 p. (2020; Zbl 1436.42026) Full Text: DOI arXiv OpenURL
Han, Rui; Krause, Ben; Lacey, Michael T.; Yang, Fan Averages along the primes: improving and sparse bounds. (English) Zbl 1436.42013 Concr. Oper. 7, 45-54 (2020). MSC: 42A45 42B25 11L05 PDF BibTeX XML Cite \textit{R. Han} et al., Concr. Oper. 7, 45--54 (2020; Zbl 1436.42013) Full Text: DOI arXiv OpenURL
Feng, Zhenzhen; Liu, Zhixin; Ma, Jing On exceptional sets of biquadratic Waring-Goldbach problem. (English) Zbl 1445.11110 J. Number Theory 211, 139-154 (2020). Reviewer: Stephan Baier (Haora) MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{Z. Feng} et al., J. Number Theory 211, 139--154 (2020; Zbl 1445.11110) Full Text: DOI OpenURL
Gao, Gaiyun; Liu, Zhixin Small prime solutions to diagonal Diophantine equations. (English) Zbl 1459.11193 Int. J. Number Theory 16, No. 3, 447-460 (2020). MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{G. Gao} and \textit{Z. Liu}, Int. J. Number Theory 16, No. 3, 447--460 (2020; Zbl 1459.11193) Full Text: DOI OpenURL
Zhang, Min; Li, Jinjiang On the sum of divisors of mixed powers in short intervals. (English) Zbl 1452.11118 Ramanujan J. 51, No. 2, 333-352 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 11E20 11L03 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 51, No. 2, 333--352 (2020; Zbl 1452.11118) Full Text: DOI OpenURL