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
Balister, Paul; Bollobás, Béla; Morris, Robert; Sahasrabudhe, Julian; Tiba, Marius Flat Littlewood polynomials exist. (English) Zbl 1470.42004 Ann. Math. (2) 192, No. 3, 977-1004 (2020). Reviewer: Ioannis Parissis (Bilbao) MSC: 42A05 30C10 11B75 11L03 PDFBibTeX XMLCite \textit{P. Balister} et al., Ann. Math. (2) 192, No. 3, 977--1004 (2020; Zbl 1470.42004) Full Text: DOI arXiv
Kowalski, Emmanuel; Michel, Philippe; Sawin, Will Bilinear forms with Kloosterman sums and applications. (English) Zbl 1441.11194 Ann. Math. (2) 186, No. 2, 413-500 (2017). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11L07 11T23 11L05 11L26 11M41 11N37 11F66 14D05 14F20 PDFBibTeX XMLCite \textit{E. Kowalski} et al., Ann. Math. (2) 186, No. 2, 413--500 (2017; Zbl 1441.11194) Full Text: DOI arXiv Link
Bourgain, Jean; Demeter, Ciprian; Guth, Larry Proof of the main conjecture in Vinogradov’s mean value theorem for degrees higher than three. (English) Zbl 1408.11083 Ann. Math. (2) 184, No. 2, 633-682 (2016). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11L07 42B37 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Ann. Math. (2) 184, No. 2, 633--682 (2016; Zbl 1408.11083) Full Text: DOI arXiv
Zhang, Yitang Bounded gaps between primes. (English) Zbl 1290.11128 Ann. Math. (2) 179, No. 3, 1121-1174 (2014). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N05 11N13 11N35 11N36 11L07 PDFBibTeX XMLCite \textit{Y. Zhang}, Ann. Math. (2) 179, No. 3, 1121--1174 (2014; Zbl 1290.11128) Full Text: DOI
Heinloth, Jochen; Ngô, Bao-Châu; Yun, Zhiwei Kloosterman sheaves for reductive groups. (English) Zbl 1272.14012 Ann. Math. (2) 177, No. 1, 241-310 (2013). Reviewer: Ulrich Görtz (Essen) MSC: 14D24 11L05 11T23 22E57 PDFBibTeX XMLCite \textit{J. Heinloth} et al., Ann. Math. (2) 177, No. 1, 241--310 (2013; Zbl 1272.14012) Full Text: DOI arXiv
Walsh, Miguel N. Norm convergence of nilpotent ergodic averages. (English) Zbl 1248.37008 Ann. Math. (2) 175, No. 3, 1667-1688 (2012). Reviewer: Thomas B. Ward (Durham) MSC: 37A05 11L15 28D05 37A15 37A25 PDFBibTeX XMLCite \textit{M. N. Walsh}, Ann. Math. (2) 175, No. 3, 1667--1688 (2012; Zbl 1248.37008) Full Text: DOI arXiv Backlinks: MO
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 PDFBibTeX XMLCite \textit{T. D. Wooley}, Ann. Math. (2) 175, No. 3, 1575--1627 (2012; Zbl 1267.11105) Full Text: DOI arXiv
Hiary, Ghaith Ayesh Fast methods to compute the Riemann zeta function. (English) Zbl 1243.11118 Ann. Math. (2) 174, No. 2, 891-946 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11Y35 11M06 11Y16 11L15 PDFBibTeX XMLCite \textit{G. A. Hiary}, Ann. Math. (2) 174, No. 2, 891--946 (2011; Zbl 1243.11118) Full Text: DOI arXiv
Hiary, Ghaith Ayesh A nearly-optimal method to compute the truncated theta function, its derivatives, and integrals. (English) Zbl 1243.11117 Ann. Math. (2) 174, No. 2, 859-889 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11Y16 11L15 11Y35 PDFBibTeX XMLCite \textit{G. A. Hiary}, Ann. Math. (2) 174, No. 2, 859--889 (2011; Zbl 1243.11117) Full Text: DOI arXiv
Kelmer, Dubi Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus. (English) Zbl 1202.81076 Ann. Math. (2) 171, No. 2, 815-879 (2010). Reviewer: Marek M. Kuś (Warszawa) MSC: 81Q50 37D20 11L07 58J51 11F60 47A35 81S10 81Q35 PDFBibTeX XMLCite \textit{D. Kelmer}, Ann. Math. (2) 171, No. 2, 815--879 (2010; Zbl 1202.81076) Full Text: DOI arXiv Link
Borwein, Peter Benjamin; Erdélyi, Tamás; Ferguson, Ron; Lockhart, Richard On the zeros of cosine polynomials: solution to a problem of Littlewood. (English) Zbl 1186.11045 Ann. Math. (2) 167, No. 3, 1109-1117 (2008). Reviewer: Tom M. Apostol (Pasadena) MSC: 11L03 42A05 PDFBibTeX XMLCite \textit{P. B. Borwein} et al., Ann. Math. (2) 167, No. 3, 1109--1117 (2008; Zbl 1186.11045) Full Text: DOI Link
Fouvry, Étienne.; Michel, Philippe On the sign change of Kloosterman sums. (Sur le changement de signe des sommes de Kloosterman.) (French) Zbl 1230.11096 Ann. Math. (2) 165, No. 3, 675-715 (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 11L05 11L07 11N36 PDFBibTeX XMLCite \textit{Étienne. Fouvry} and \textit{P. Michel}, Ann. Math. (2) 165, No. 3, 675--715 (2007; Zbl 1230.11096) Full Text: DOI
Jacquet, Hervé Kloosterman identities over a quadratic extension. (English) Zbl 1071.11026 Ann. Math. (2) 160, No. 2, 755-779 (2004). Reviewer: Dubravka Ban (Carbondale) MSC: 11F70 11L05 PDFBibTeX XMLCite \textit{H. Jacquet}, Ann. Math. (2) 160, No. 2, 755--779 (2004; Zbl 1071.11026) Full Text: DOI Euclid
Granville, Andrew; Soundararajan, K. The spectrum of multiplicative functions. (English) Zbl 1036.11042 Ann. Math. (2) 153, No. 2, 407-470 (2001). Reviewer: Eira J. Scourfield (Egham) MSC: 11N37 11L40 11A15 PDFBibTeX XMLCite \textit{A. Granville} and \textit{K. Soundararajan}, Ann. Math. (2) 153, No. 2, 407--470 (2001; Zbl 1036.11042) Full Text: DOI arXiv
Duke, W.; Friedlander, J. B.; Iwaniec, H. Equidistribution of roots of a quadratic congruence to prime moduli. (English) Zbl 0840.11003 Ann. Math. (2) 141, No. 2, 423-441 (1995). Reviewer: R.W.Bruggeman (Utrecht) MSC: 11A07 11L20 11N36 PDFBibTeX XMLCite \textit{W. Duke} et al., Ann. Math. (2) 141, No. 2, 423--441 (1995; Zbl 0840.11003) Full Text: DOI
Wooley, Trevor D. Large improvements in Waring’s problem. (English) Zbl 0754.11026 Ann. Math. (2) 135, No. 1, 131-164 (1992). Reviewer: J.Brüdern (Göttingen) MSC: 11P05 11P55 11L15 PDFBibTeX XMLCite \textit{T. D. Wooley}, Ann. Math. (2) 135, No. 1, 131--164 (1992; Zbl 0754.11026) Full Text: DOI
Adolphson, Alan; Sperber, Steven Exponential sums and Newton polyhedra: cohomology and estimates. (English) Zbl 0723.14017 Ann. Math. (2) 130, No. 2, 367-406 (1989). Reviewer: F. Baldassarri (Padova) MSC: 14G10 11T23 14G15 11L40 14M25 PDFBibTeX XMLCite \textit{A. Adolphson} and \textit{S. Sperber}, Ann. Math. (2) 130, No. 2, 367--406 (1989; Zbl 0723.14017) Full Text: DOI
Montgomery, H. L.; Vaughan, R. C. On the distribution of reduced residues. (English) Zbl 0591.10042 Ann. Math. (2) 123, 311-333 (1986). Reviewer: P.Shiu MSC: 11N69 11L03 PDFBibTeX XMLCite \textit{H. L. Montgomery} and \textit{R. C. Vaughan}, Ann. Math. (2) 123, 311--333 (1986; Zbl 0591.10042) Full Text: DOI
Friedlander, John B.; Iwaniec, Henryk [Birch, B. J.; Bombieri, Enrico] Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri. (English) Zbl 0572.10029 Ann. Math. (2) 121, 319-350 (1985). Reviewer: Shigeru Kanemitsu MSC: 11L40 11N37 11N13 PDFBibTeX XMLCite \textit{J. B. Friedlander} and \textit{H. Iwaniec}, Ann. Math. (2) 121, 319--350 (1985; Zbl 0572.10029) Full Text: DOI
McGehee, O. Carruth; Pigno, Louis; Smith, Brent Hardy’s inequality and the \(L^ 1\) norm of exponential sums. (English) Zbl 0473.42001 Ann. Math. (2) 113, 613-618 (1981). MSC: 42A05 43A17 42A16 46J99 42A55 42A38 11L07 PDFBibTeX XMLCite \textit{O. C. McGehee} et al., Ann. Math. (2) 113, 613--618 (1981; Zbl 0473.42001) Full Text: DOI
Meyer, Y. Adeles et séries trigonométriques speciales. (French) Zbl 0248.10029 Ann. Math. (2) 97, 171-186 (1973). MSC: 11L03 43-XX 43A05 11J99 11K55 11R56 PDFBibTeX XMLCite \textit{Y. Meyer}, Ann. Math. (2) 97, 171--186 (1973; Zbl 0248.10029) Full Text: DOI
Vinogradov, I. M. Approximations with help of certain fractions. (English) Zbl 0013.20102 Ann. Math. (2) 37, 101-106 (1936). Reviewer: J. F. Koksma (Amsterdam) MSC: 11J54 11L03 PDFBibTeX XMLCite \textit{I. M. Vinogradov}, Ann. Math. (2) 37, 101--106 (1936; Zbl 0013.20102) Full Text: DOI