Lindenstrauss, Elon; Mohammadi, Amir; Wang, Zhiren Quantitative equidistribution and the local statistics of the spectrum of a flat torus. (English) Zbl 1535.37010 J. Anal. Math. 151, No. 1, 181-234 (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37A44 37A46 37A50 58J50 58J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blomer, Valentin (ed.); Einsiedler, Manfred (ed.); Kowalski, Emmanuel (ed.); Viazovska, Maryna (ed.) Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7–12, 2023. (English) Zbl 1528.11001 Oberwolfach Rep. 20, No. 2, 1195-1262 (2023). MSC: 00B05 00B25 11-06 11Fxx 11Mxx 11T23 22Exx 37A17 42Axx × Cite Format Result Cite Review PDF Full Text: DOI
Marklof, Jens; Welsh, Matthew Bounds for theta sums in higher rank. I. (English) Zbl 1523.11076 J. Anal. Math. 150, No. 1, 325-358 (2023). MSC: 11F27 11L03 37A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ghosh, Anish; Han, Jiyoung Values of inhomogeneous forms at \(S\)-integral points. (English) Zbl 1523.11177 Mathematika 68, No. 2, 565-593 (2022). MSC: 11P21 11H60 11H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buterus, P.; Götze, F.; Hille, T.; Margulis, G. Distribution of values of quadratic forms at integral points. (English) Zbl 1487.11091 Invent. Math. 227, No. 3, 857-961 (2022). Reviewer: Jayadev Athreya (Seattle) MSC: 11P21 11D75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Strömbergsson, Andreas; Vishe, Pankaj An effective equidistribution result for \(\operatorname{SL} ( 2 , \mathbb{R} ) \ltimes ( \mathbb{R}^2 )^{\oplus K}\) and application to inhomogeneous quadratic forms. (English) Zbl 1458.37002 J. Lond. Math. Soc., II. Ser. 102, No. 1, 143-204 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37A17 37A44 37D40 11E20 11K60 11E45 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Griffin, Jory; Marklof, Jens Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows. (English) Zbl 1433.82011 Pure Appl. Anal. 1, No. 4, 571-614 (2019). MSC: 82C40 35Q20 37A17 37A44 47N50 82C10 35B40 35Q55 35Q40 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cellarosi, Francesco; Marklof, Jens Quadratic Weyl sums, automorphic functions and invariance principles. (English) Zbl 1423.11145 Proc. Lond. Math. Soc. (3) 113, No. 6, 775-828 (2016). MSC: 11L15 39B62 11F27 22F30 37D40 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Griffin, Jory On the phase-space distribution of Bloch eigenmodes for periodic point scatterers. (English) Zbl 1344.81114 J. Math. Phys. 57, No. 8, 082101, 13 p. (2016). MSC: 81S30 82D25 35J10 11K60 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Sargent, Oliver The \(n\)-point correlation of quadratic forms. (English) Zbl 1367.11035 Monatsh. Math. 178, No. 2, 259-297 (2015). MSC: 11D09 11J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Jiyoung; Kang, Hyunsuk; Kim, Yong-Cheol; Lim, Seonhee Distribution of integral lattice points in an ellipsoid with a Diophantine center. (English) Zbl 1327.11066 J. Number Theory 157, 468-506 (2015). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11P21 11H06 11L07 37C40 42B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Strömbergsson, Andreas An effective Ratner equidistribution result for SL\((2,\mathbb R)\ltimes \mathbb R^2\). (English) Zbl 1351.37014 Duke Math. J. 164, No. 5, 843-902 (2015). MSC: 37A17 37A45 11K60 22F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
El-Baz, Daniel; Marklof, Jens; Vinogradov, Ilya The two-point correlation function of the fractional parts of \(\sqrt{n}\) is Poisson. (English) Zbl 1318.11091 Proc. Am. Math. Soc. 143, No. 7, 2815-2828 (2015). Reviewer: Mehdi Hassani (Zanjan) MSC: 11J71 11K36 22E40 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourgade, Paul; Keating, Jonathan P. Quantum chaos, random matrix theory, and the Riemann \(\zeta\)-function. (English) Zbl 1335.81082 Duplantier, Bertrand (ed.) et al., Chaos. Poincaré seminar 2010. Proceedings, Paris, France, June 5, 2010. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0696-1/hbk; 978-3-0348-0697-8/ebook). Progress in Mathematical Physics 66, 125-168 (2013). Reviewer: Tobias Weich (Paderborn) MSC: 81Q50 60B20 81-02 11M50 × Cite Format Result Cite Review PDF Full Text: DOI
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru Pair correlation of sums of rationals with bounded height. (English) Zbl 1218.11069 J. Reine Angew. Math. 641, 21-67 (2010). Reviewer: Michael Coons (Waterloo) MSC: 11J71 11B57 62H20 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Hyunsuk; Sobolev, Alexander V. Distribution of integer lattice points in a ball centred at a Diophantine point. (English) Zbl 1252.11075 Mathematika 56, No. 1, 118-134 (2010). MSC: 11P21 42B05 × Cite Format Result Cite Review PDF Full Text: DOI
Müller, Wolfgang Systems of quadratic Diophantine inequalities and the value distribution of quadratic forms. (English) Zbl 1184.11011 Monatsh. Math. 153, No. 3, 233-250 (2008). Reviewer: Koichi Kawada (Morioka) MSC: 11D75 11J25 × Cite Format Result Cite Review PDF Full Text: DOI
Marklof, Jens Correction to “Pair correlation densities of inhomogeneous quadratic forms. II”. (English) Zbl 1129.11321 Duke Math. J. 120, No. 1, 227-228 (2003). MSC: 11P21 11F27 37J99 37N20 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid