Kuo, Wentang; Liu, Yu-Ru; Zhao, Xiaomei The asymptotic estimates and Hasse principle for multidimensional Waring’s problem. (English) Zbl 1442.11137 Adv. Math. 353, 1-66 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11P05 11P55 11T55 PDF BibTeX XML Cite \textit{W. Kuo} et al., Adv. Math. 353, 1--66 (2019; Zbl 1442.11137) Full Text: DOI OpenURL
Wooley, Trevor D. Approximating the main conjecture in Vinogradov’s mean value theorem. (English) Zbl 1372.11086 Mathematika 63, No. 1, 292-350 (2017). Reviewer: Huaning Liu (Shaanxi) MSC: 11L15 11L07 11P55 PDF BibTeX XML Cite \textit{T. D. Wooley}, Mathematika 63, No. 1, 292--350 (2017; Zbl 1372.11086) Full Text: DOI arXiv OpenURL
Wooley, Trevor D. Multigrade efficient congruencing and Vinogradov’s mean value theorem. (English) Zbl 1328.11087 Proc. Lond. Math. Soc. (3) 111, No. 3, 519-560 (2015). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P05 11P55 PDF BibTeX XML Cite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 111, No. 3, 519--560 (2015; Zbl 1328.11087) Full Text: DOI arXiv OpenURL
Ford, Kevin; Wooley, Trevor D. On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. (English) Zbl 1307.11102 Acta Math. 213, No. 2, 199-236 (2014). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11P05 11P55 11L15 PDF BibTeX XML Cite \textit{K. Ford} and \textit{T. D. Wooley}, Acta Math. 213, No. 2, 199--236 (2014; Zbl 1307.11102) Full Text: DOI arXiv OpenURL
Wooley, Trevor D. Vinogradov’s mean value theorem via efficient congruencing. II. (English) Zbl 1312.11066 Duke Math. J. 162, No. 4, 673-730 (2013). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P05 11P55 PDF BibTeX XML Cite \textit{T. D. Wooley}, Duke Math. J. 162, No. 4, 673--730 (2013; Zbl 1312.11066) Full Text: DOI arXiv Euclid OpenURL
Laporta, Maurizio On the number of representations in the Waring-Goldbach problem with a prime variable in an arithmetic progression. (English. French summary) Zbl 1315.11087 J. Théor. Nombres Bordx. 24, No. 2, 355-368 (2012). Reviewer: Zhixin Liu (Tianjin) MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{M. Laporta}, J. Théor. Nombres Bordx. 24, No. 2, 355--368 (2012; Zbl 1315.11087) Full Text: DOI Numdam OpenURL
Parsell, Scott T. Hua-type iteration for multidimensional Weyl sums. (English) Zbl 1284.11059 Mathematika 58, No. 2, 209-224 (2012). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D45 11P55 11L15 11D72 PDF BibTeX XML Cite \textit{S. T. Parsell}, Mathematika 58, No. 2, 209--224 (2012; Zbl 1284.11059) Full Text: DOI OpenURL
Wooley, Trevor D. Vinogradov’s mean value theorem via efficient congruencing. (English) Zbl 1267.11105 Ann. Math. (2) 175, No. 3, 1575-1627 (2012). Reviewer: Stephan Baier (Norwich) MSC: 11P05 11P55 11L07 PDF BibTeX XML Cite \textit{T. D. Wooley}, Ann. Math. (2) 175, No. 3, 1575--1627 (2012; Zbl 1267.11105) Full Text: DOI arXiv OpenURL
Boklan, Kent D.; Wooley, Trevor D. On Weyl sums for smaller exponents. (English) Zbl 1328.11085 Funct. Approximatio, Comment. Math. 46, No. 1, 91-107 (2012). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P05 11P55 PDF BibTeX XML Cite \textit{K. D. Boklan} and \textit{T. D. Wooley}, Funct. Approximatio, Comment. Math. 46, No. 1, 91--107 (2012; Zbl 1328.11085) Full Text: DOI arXiv Euclid OpenURL
Brüdern, Jörg; Kawada, Koichi The asymptotic formula in Waring’s problem for one square and seventeen fifth powers. (English) Zbl 1223.11120 Monatsh. Math. 162, No. 4, 385-407 (2011). Reviewer: Angel V. Kumchev (Towson) MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{J. Brüdern} and \textit{K. Kawada}, Monatsh. Math. 162, No. 4, 385--407 (2011; Zbl 1223.11120) Full Text: DOI OpenURL
Kawada, Koichi; Wooley, Trevor D. Davenport’s method and slim exceptional sets: the asymptotic formulae in Waring’s problem. (English) Zbl 1238.11091 Mathematika 56, No. 2, 305-321 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{K. Kawada} and \textit{T. D. Wooley}, Mathematika 56, No. 2, 305--321 (2010; Zbl 1238.11091) Full Text: DOI arXiv OpenURL
Bombieri, Enrico Problems and results on the distribution of algebraic points on algebraic varieties. (English) Zbl 1194.11070 J. Théor. Nombres Bordx. 21, No. 1, 41-57 (2009). Reviewer: Michel Waldschmidt (Paris) MSC: 11G35 11G50 14G25 14G05 PDF BibTeX XML Cite \textit{E. Bombieri}, J. Théor. Nombres Bordx. 21, No. 1, 41--57 (2009; Zbl 1194.11070) Full Text: DOI EuDML Link OpenURL
Thuswaldner, Jörg M.; Tichy, Robert F. Waring’s problem with digital restrictions. (English) Zbl 1132.11050 Isr. J. Math. 149, 317-344 (2005). MSC: 11P05 PDF BibTeX XML Cite \textit{J. M. Thuswaldner} and \textit{R. F. Tichy}, Isr. J. Math. 149, 317--344 (2005; Zbl 1132.11050) Full Text: DOI OpenURL
Brüdern, J.; Kawada, K.; Wooley, T. D. Additive representation in thin sequences. II: The binary Goldbach problem. (English) Zbl 1023.11053 Mathematika 47, No. 1-2, 117-125 (2000). Reviewer: George Greaves (Cardiff) MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{J. Brüdern} et al., Mathematika 47, No. 1--2, 117--125 (2000; Zbl 1023.11053) Full Text: DOI OpenURL
Wooley, Trevor D. On Weyl’s inequality, Hua’s lemma, and exponential sums over binary forms. (English) Zbl 1130.11312 Duke Math. J. 100, No. 3, 373-423 (1999). Reviewer: Koichi Kawada (Morioka) (MR1719742) MSC: 11D72 11E76 11J71 11L07 11P55 PDF BibTeX XML Cite \textit{T. D. Wooley}, Duke Math. J. 100, No. 3, 373--423 (1999; Zbl 1130.11312) Full Text: DOI Euclid OpenURL