Rudnick, Zeév; Wigman, Igor On the central limit theorem for linear eigenvalue statistics on random surfaces of large genus. (English) Zbl 07793428 J. Anal. Math. 151, No. 1, 293-302 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 11F72 30F60 58J50 60G55 81Q50 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{I. Wigman}, J. Anal. Math. 151, No. 1, 293--302 (2023; Zbl 07793428) Full Text: DOI arXiv
Rudnick, Zeév The Quantum Rabi model: Towards Braak’s conjecture. arXiv:2311.12622 Preprint, arXiv:2311.12622 [math.SP] (2023). MSC: 81Q10 81V80 11J71 BibTeX Cite \textit{Z. Rudnick}, ``The Quantum Rabi model: Towards Braak's conjecture'', Preprint, arXiv:2311.12622 [math.SP] (2023) Full Text: arXiv OA License
Rudnick, Zeév Zeros of modular forms and Faber polynomials. arXiv:2308.08352 Preprint, arXiv:2308.08352 [math.NT] (2023). MSC: 11F11 BibTeX Cite \textit{Z. Rudnick}, ``Zeros of modular forms and Faber polynomials'', Preprint, arXiv:2308.08352 [math.NT] (2023) Full Text: arXiv OA License
Rudnick, Zeév; Wigman, Igor Almost sure GOE fluctuations of energy levels for hyperbolic surfaces of high genus. arXiv:2301.05964 Preprint, arXiv:2301.05964 [math.SP] (2023). MSC: 81Q50 11F72 30F60 58J50 BibTeX Cite \textit{Z. Rudnick} and \textit{I. Wigman}, ``Almost sure GOE fluctuations of energy levels for hyperbolic surfaces of high genus'', Preprint, arXiv:2301.05964 [math.SP] (2023) Full Text: arXiv OA License
Rudnick, Zeév; Technau, Niclas The metric theory of the pair correlation function for small non-integer powers. (English) Zbl 07730876 J. Lond. Math. Soc., II. Ser. 106, No. 3, 2752-2772 (2022). MSC: 11K06 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{N. Technau}, J. Lond. Math. Soc., II. Ser. 106, No. 3, 2752--2772 (2022; Zbl 07730876) Full Text: DOI arXiv
Li, Wen-Ching Winnie; Rudnick, Zeev Pair arithmetical equivalence for quadratic fields. (English) Zbl 1507.11103 Math. Z. 299, No. 1-2, 797-826 (2021). MSC: 11R42 11F80 11F11 PDFBibTeX XMLCite \textit{W.-C. W. Li} and \textit{Z. Rudnick}, Math. Z. 299, No. 1--2, 797--826 (2021; Zbl 1507.11103) Full Text: DOI arXiv
Maynard, James; Rudnick, Ze’ev A lower bound on the least common multiple of polynomial sequences. (English) Zbl 1483.11207 Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 143-150 (2021). Reviewer: Jasson Vindas (Gent) MSC: 11N32 PDFBibTeX XMLCite \textit{J. Maynard} and \textit{Z. Rudnick}, Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 143--150 (2021; Zbl 1483.11207) Full Text: arXiv Link
[Sarnak, Peter; Tao, Terence; Daubechies, Ingrid; Delbaen, Freddy; Guth, Larry; Jitomirskaya, Svetlana; Kontorovich, Alex; Lindenstrauss, Elon; Milman, Vitali; Pisier, Gilles; Rudnick, Zeev; Schlag, Wilhelm; Staffilani, Gigliola; Varjú, Péter] Remembering Jean Bourgain (1954–2018). (English) Zbl 1467.01018 Notices Am. Math. Soc. 68, No. 6, 942-957 (2021). MSC: 01A70 11-03 35-03 37-03 46-03 PDFBibTeX XMLCite Notices Am. Math. Soc. 68, No. 6, 942--957 (2021; Zbl 1467.01018) Full Text: DOI
Rudnick, Zeév; Zehavi, Sa’ar On Cilleruelo’s conjecture for the least common multiple of polynomial sequences. (English) Zbl 1472.11261 Rev. Mat. Iberoam. 37, No. 4, 1441-1458 (2021). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{S. Zehavi}, Rev. Mat. Iberoam. 37, No. 4, 1441--1458 (2021; Zbl 1472.11261) Full Text: DOI arXiv
Rudnick, Zeev On the sum of digits of \(1/M\) in \(\mathbb{F}_q[x]\). arXiv:2108.10142 Preprint, arXiv:2108.10142 [math.NT] (2021). MSC: 11A07 11A63 11T55 BibTeX Cite \textit{Z. Rudnick}, ``On the sum of digits of $1/M$ in $\mathbb{F}_q[x]$'', Preprint, arXiv:2108.10142 [math.NT] (2021) Full Text: arXiv OA License
Rudnick, Zeév; Technau, Niclas The metric theory of the pair correlation function of real-valued lacunary sequences. (English) Zbl 1464.11069 Ill. J. Math. 64, No. 4, 583-594 (2020). Reviewer: Robert F. Tichy (Graz) MSC: 11J54 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{N. Technau}, Ill. J. Math. 64, No. 4, 583--594 (2020; Zbl 1464.11069) Full Text: DOI arXiv Euclid
Huang, Bingrong; Liu, Jianya; Rudnick, Zeév Gaussian primes in almost all narrow sectors. (English) Zbl 1453.11150 Acta Arith. 193, No. 2, 183-192 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R44 11N05 PDFBibTeX XMLCite \textit{B. Huang} et al., Acta Arith. 193, No. 2, 183--192 (2020; Zbl 1453.11150) Full Text: DOI arXiv
Rudnick, Zeév; Waxman, Ezra Angles of Gaussian primes. (English) Zbl 1467.11107 Isr. J. Math. 232, No. 1, 159-199 (2019). Reviewer: Shabnam Akhtari (Eugene) MSC: 11R45 11M50 11R42 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{E. Waxman}, Isr. J. Math. 232, No. 1, 159--199 (2019; Zbl 1467.11107) Full Text: DOI arXiv
Huang, Bingrong; Rudnick, Zeév Prime lattice points in ovals. (English) Zbl 1448.11178 Monatsh. Math. 189, No. 2, 295-319 (2019). MSC: 11P21 11N05 11K70 60D05 62E20 PDFBibTeX XMLCite \textit{B. Huang} and \textit{Z. Rudnick}, Monatsh. Math. 189, No. 2, 295--319 (2019; Zbl 1448.11178) Full Text: DOI arXiv
Rudnick, Zeév; Peled, Ron On locally repeated values of arithmetic functions over \(\mathbb{F}_q [T]\). (English) Zbl 1448.11174 Q. J. Math. 70, No. 2, 451-472 (2019). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11T99 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{R. Peled}, Q. J. Math. 70, No. 2, 451--472 (2018; Zbl 1448.11174) Full Text: DOI arXiv
Rudnick, Zeév A metric theory of minimal gaps. (English) Zbl 1451.11085 Mathematika 64, No. 3, 628-636 (2018). Reviewer: Christoph Aistleitner (Graz) MSC: 11K06 PDFBibTeX XMLCite \textit{Z. Rudnick}, Mathematika 64, No. 3, 628--636 (2018; Zbl 1451.11085) Full Text: DOI arXiv
Keating, J. P.; Rodgers, B.; Roditty-Gershon, E.; Rudnick, Z. Sums of divisor functions in \(\mathbb {F}_q[t]\) and matrix integrals. (English) Zbl 1430.11137 Math. Z. 288, No. 1-2, 167-198 (2018). MSC: 11N60 05A15 11N56 PDFBibTeX XMLCite \textit{J. P. Keating} et al., Math. Z. 288, No. 1--2, 167--198 (2018; Zbl 1430.11137) Full Text: DOI arXiv
Bourgain, Jean; Rudnick, Zeév; Sarnak, Peter Spatial statistics for lattice points on the sphere. I: Individual results. (English) Zbl 1464.11076 Bull. Iran. Math. Soc. 43, No. 4, 361-386 (2017). Reviewer: Robert F. Tichy (Graz) MSC: 11K36 11E25 11E12 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Bull. Iran. Math. Soc. 43, No. 4, 361--386 (2017; Zbl 1464.11076) Full Text: arXiv Link
Blomer, Valentin; Bourgain, Jean; Radziwiłł, Maksym; Rudnick, Zeév Small gaps in the spectrum of the rectangular billiard. (English. French summary) Zbl 1405.35120 Ann. Sci. Éc. Norm. Supér. (4) 50, No. 5, 1283-1300 (2017). Reviewer: Emre Alkan (Istanbul) MSC: 35P20 11E16 11J04 11B39 11L07 PDFBibTeX XMLCite \textit{V. Blomer} et al., Ann. Sci. Éc. Norm. Supér. (4) 50, No. 5, 1283--1300 (2017; Zbl 1405.35120) Full Text: DOI arXiv Link
Rudnick, Zeév; Wigman, Igor; Yesha, Nadav Nodal intersections for random waves on the 3-dimensional torus. (Intersections nodales d’ondes aléatoires sur le tore tri-dimensionnel.) (English. French summary) Zbl 1360.60081 Ann. Inst. Fourier 66, No. 6, 2455-2484 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 60G15 58J50 11P21 PDFBibTeX XMLCite \textit{Z. Rudnick} et al., Ann. Inst. Fourier 66, No. 6, 2455--2484 (2016; Zbl 1360.60081) Full Text: DOI arXiv
Andrade, J. C.; Bary-Soroker, L.; Rudnick, Z. Correction to ‘Shifted convolution and the Titchmarsh divisor problem over \(\mathbb F_q[t]\)’. (English) Zbl 1353.11100 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 374, No. 2060, Article ID 20150360, 1 p. (2016). MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{J. C. Andrade} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 374, No. 2060, Article ID 20150360, 1 p. (2016; Zbl 1353.11100) Full Text: DOI
Bourgain, Jean; Sarnak, Peter; Rudnick, Zeév Local statistics of lattice points on the sphere. (English) Zbl 1394.11059 Hardin, Douglas P. (ed.) et al., Modern trends in constructive function theory. Constructive functions 2014 conference in honor of Ed Saff’s 70th birthday, Vanderbilt University, Nashville, TN, USA, May 26–30, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2534-0/pbk; 978-1-4704-2934-8/ebook). Contemporary Mathematics 661, 269-282 (2016). Reviewer: Robert F. Tichy (Graz) MSC: 11K36 11E12 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Contemp. Math. 661, 269--282 (2016; Zbl 1394.11059) Full Text: DOI arXiv
Keating, Jonathan P.; Rudnick, Zeev Squarefree polynomials and Möbius values in short intervals and arithmetic progressions. (English) Zbl 1391.11156 Algebra Number Theory 10, No. 2, 375-420 (2016). Reviewer: Neranga Fernando (Boston) MSC: 11T55 11M38 11M50 PDFBibTeX XMLCite \textit{J. P. Keating} and \textit{Z. Rudnick}, Algebra Number Theory 10, No. 2, 375--420 (2016; Zbl 1391.11156) Full Text: DOI arXiv Link
Keating, J. P.; Rudnick, Z.; Wooley, T. D. Number fields and function fields: coalescences, contrasts and emerging applications. (English) Zbl 1353.11098 Philos. Trans. A, R. Soc. Lond. 373, No. 2040, Article ID 20140315, 4 p. (2015). MSC: 11N05 11B05 94A60 PDFBibTeX XMLCite \textit{J. P. Keating} et al., Philos. Trans. A, R. Soc. Lond. 373, No. 2040, Article ID 20140315, 4 p. (2015; Zbl 1353.11098) Full Text: DOI
Andrade, J. C.; Bary-Soroker, L.; Rudnick, Z. Shifted convolution and the Titchmarsh divisor problem over \(\mathbb F_q[t]\). (English) Zbl 1393.11061 Philos. Trans. A, R. Soc. Lond. 373, No. 2040, Article ID 20140308, 18 p. (2015); correction ibid. 374, No. 2060, Article ID 20150360, 1 p. (2016). MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{J. C. Andrade} et al., Philos. Trans. A, R. Soc. Lond. 373, No. 2040, Article ID 20140308, 18 p. (2015; Zbl 1393.11061) Full Text: DOI arXiv
Rudnick, Zeev Some problems in analytic number theory for polynomials over a finite field. (English) Zbl 1373.11082 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 443-459 (2014). MSC: 11T55 11N05 11N13 PDFBibTeX XMLCite \textit{Z. Rudnick}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 443--459 (2014; Zbl 1373.11082) Full Text: arXiv
Rudnick, Zeév Square-free values of polynomials over the rational function field. (English) Zbl 1385.11073 J. Number Theory 135, 60-66 (2014). MSC: 11T55 11T06 PDFBibTeX XMLCite \textit{Z. Rudnick}, J. Number Theory 135, 60--66 (2014; Zbl 1385.11073) Full Text: DOI arXiv
Carmon, Dan; Rudnick, Zeév The autocorrelation of the Möbius function and Chowla’s conjecture for the rational function field. (English) Zbl 1302.11073 Q. J. Math. 65, No. 1, 53-61 (2014). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11N37 11R58 PDFBibTeX XMLCite \textit{D. Carmon} and \textit{Z. Rudnick}, Q. J. Math. 65, No. 1, 53--61 (2014; Zbl 1302.11073) Full Text: DOI arXiv
Keating, Jonathan P.; Rudnick, Zeév The variance of the number of prime polynomials in short intervals and in residue classes. (English) Zbl 1319.11084 Int. Math. Res. Not. 2014, No. 1, 259-288 (2014). Reviewer: Thomas Schmidt (Corvallis) MSC: 11R58 PDFBibTeX XMLCite \textit{J. P. Keating} and \textit{Z. Rudnick}, Int. Math. Res. Not. 2014, No. 1, 259--288 (2014; Zbl 1319.11084) Full Text: DOI arXiv
Entin, Alexei; Roditty-Gershon, Edva; Rudnick, Zeév Low-lying zeros of quadratic Dirichlet \(L\)-functions, hyper-elliptic curves and random matrix theory. (English) Zbl 1321.11095 Geom. Funct. Anal. 23, No. 4, 1230-1261 (2013). MSC: 11M41 11G05 11M50 PDFBibTeX XMLCite \textit{A. Entin} et al., Geom. Funct. Anal. 23, No. 4, 1230--1261 (2013; Zbl 1321.11095) Full Text: DOI arXiv
Rudnick, Zeév Traces of high powers of the Frobenius class in the hyperelliptic ensemble. (English) Zbl 1260.11057 Acta Arith. 143, No. 1, 81-99 (2010). MSC: 11M50 11G20 14G10 PDFBibTeX XMLCite \textit{Z. Rudnick}, Acta Arith. 143, No. 1, 81--99 (2010; Zbl 1260.11057) Full Text: DOI arXiv
Faifman, Dmitry; Rudnick, Zeév Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field. (English) Zbl 1245.14022 Compos. Math. 146, No. 1, 81-101 (2010). MSC: 14G10 11M50 11G20 PDFBibTeX XMLCite \textit{D. Faifman} and \textit{Z. Rudnick}, Compos. Math. 146, No. 1, 81--101 (2010; Zbl 1245.14022) Full Text: DOI arXiv
Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter The variance of arithmetic measures associated to closed geodesics on the modular surface. (English) Zbl 1231.11057 J. Mod. Dyn. 3, No. 2, 271-309 (2009). MSC: 11F72 37D40 58J51 PDFBibTeX XMLCite \textit{W. Luo} et al., J. Mod. Dyn. 3, No. 2, 271--309 (2009; Zbl 1231.11057) Full Text: DOI arXiv
Risager, Morten S.; Rudnick, Zeév On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces. (English) Zbl 1189.11036 Kotani, Motoko (ed.) et al., Spectral analysis in geometry and number theory. International conference on the occasion of Toshikazu Sunada’s 60th birthday, August 6–10, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4269-0/pbk). Contemporary Mathematics 484, 187-194 (2009). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11J71 11M36 11D04 PDFBibTeX XMLCite \textit{M. S. Risager} and \textit{Z. Rudnick}, Contemp. Math. 484, 187--194 (2009; Zbl 1189.11036) Full Text: arXiv
Kurlberg, Pär; Rudnick, Zeév The fluctuations in the number of points on a hyperelliptic curve over a finite field. (English) Zbl 1221.11141 J. Number Theory 129, No. 3, 580-587 (2009). Reviewer: Maciej Ulas (Kraków) MSC: 11G20 14G05 14G15 PDFBibTeX XMLCite \textit{P. Kurlberg} and \textit{Z. Rudnick}, J. Number Theory 129, No. 3, 580--587 (2009; Zbl 1221.11141) Full Text: DOI arXiv
Rudnick, Zeév The arithmetic theory of quantum maps. (English) Zbl 1161.81372 Granville, Andrew (ed.) et al., Equidistribution in number theory, an introduction. Proceedings of the NATO Advanced Study Institute on equidistribution in number theory, Montréal, Canada, July 11–22, 2005. Dordrecht: Springer (ISBN 978-1-4020-5403-7/pbk; 978-1-4020-5402-0/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 237, 331-342 (2007). MSC: 81Q50 11F25 37D20 37D40 81S10 PDFBibTeX XMLCite \textit{Z. Rudnick}, NATO Sci. Ser. II, Math. Phys. Chem. 237, 331--342 (2007; Zbl 1161.81372) Full Text: DOI
Granville, Andrew; Rudnick, Zeév Torsion points on curves. (English) Zbl 1172.11020 Granville, Andrew (ed.) et al., Equidistribution in number theory, an introduction. Proceedings of the NATO Advanced Study Institute on equidistribution in number theory, Montréal, Canada, July 11–22, 2005. Dordrecht: Springer (ISBN 978-1-4020-5403-7/pbk; 978-1-4020-5402-0/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 237, 85-92 (2007). Reviewer: Roger Heath-Brown (Oxford) MSC: 11G35 14G05 PDFBibTeX XMLCite \textit{A. Granville} and \textit{Z. Rudnick}, NATO Sci. Ser. II, Math. Phys. Chem. 237, 85--92 (2007; Zbl 1172.11020) Full Text: DOI
Granville, Andrew; Rudnick, Zeév Uniform distribution. (English) Zbl 1142.11054 Granville, Andrew (ed.) et al., Equidistribution in number theory, an introduction. Proceedings of the NATO Advanced Study Institute on equidistribution in number theory, Montréal, Canada, July 11–22, 2005. Dordrecht: Springer (ISBN 978-1-4020-5403-7/pbk; 978-1-4020-5402-0/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 237, 1-13 (2007). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11K06 11J71 11J54 11K16 PDFBibTeX XMLCite \textit{A. Granville} and \textit{Z. Rudnick}, NATO Sci. Ser. II, Math. Phys. Chem. 237, 1--13 (2007; Zbl 1142.11054) Full Text: DOI
Kurlberg, Pär; Rosenzweig, Lior; Rudnick, Zeév Matrix elements for the quantum cat map: fluctuations in short windows. (English) Zbl 1187.81131 Nonlinearity 20, No. 10, 2289-2304 (2007). MSC: 81Q50 11L40 11M36 37D20 37N20 PDFBibTeX XMLCite \textit{P. Kurlberg} et al., Nonlinearity 20, No. 10, 2289--2304 (2007; Zbl 1187.81131) Full Text: DOI arXiv
Granville, Andrew (ed.); Rudnick, Zeév (ed.) Equidistribution in number theory, an introduction. Proceedings of the NATO Advanced Study Institute on equidistribution in number theory, Montréal, Canada, July 11–22, 2005. (English) Zbl 1121.11004 NATO Science Series II: Mathematics, Physics and Chemistry 237. Dordrecht: Springer (ISBN 978-1-4020-5403-7/pbk; 978-1-4020-5402-0/hbk). xvi, 345 p. (2007). MSC: 11-06 00B25 PDFBibTeX XMLCite \textit{A. Granville} (ed.) and \textit{Z. Rudnick} (ed.), Equidistribution in number theory, an introduction. Proceedings of the NATO Advanced Study Institute on equidistribution in number theory, Montréal, Canada, July 11--22, 2005. Dordrecht: Springer (2007; Zbl 1121.11004) Full Text: DOI
Rudnick, Zeév Eigenvalue statistics and lattice points. (English) Zbl 1231.11119 Zannier, Umberto (ed.), Colloquium De Giorgi 2006, Pisa, Italy. Pisa: Edizioni della Normale (ISBN 978-88-7642-212-6/pbk). Colloquia 1, 45-50 (2006). MSC: 11P21 58J50 PDFBibTeX XMLCite \textit{Z. Rudnick}, Colloquia 1, 45--50 (2006; Zbl 1231.11119) Full Text: Link
Rudnick, Z.; Soundararajan, K. Lower bounds for moments of \(L\)-functions: symplectic and orthogonal examples. (English) Zbl 1120.11039 Friedberg, Solomon (ed.) et al., Multiple Dirichlet series, automorphic forms, and analytic number theory. Proceedings of the Bretton Woods workshop on multiple Dirichlet series, Bretton Woods, NH, USA, July 11–14, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3963-2/hbk). Proceedings of Symposia in Pure Mathematics 75, 293-303 (2006). Reviewer: B. Z. Moroz (Bonn) MSC: 11M41 11F67 11F11 11F66 11M06 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{K. Soundararajan}, Proc. Symp. Pure Math. 75, 293--303 (2006; Zbl 1120.11039) Full Text: arXiv
Rudnick, Z.; Soundararajan, K. Lower bounds for moments of \(L\)-functions. (English) Zbl 1159.11317 Proc. Natl. Acad. Sci. USA 102, No. 19, 6837-6838 (2005). MSC: 11M06 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{K. Soundararajan}, Proc. Natl. Acad. Sci. USA 102, No. 19, 6837--6838 (2005; Zbl 1159.11317) Full Text: DOI arXiv
Rudnick, Zeév On the asymptotic distribution of zeros of modular forms. (English) Zbl 1162.11345 Int. Math. Res. Not. 2005, No. 34, 2059-2074 (2005). MSC: 11F72 11F11 PDFBibTeX XMLCite \textit{Z. Rudnick}, Int. Math. Res. Not. 2005, No. 34, 2059--2074 (2005; Zbl 1162.11345) Full Text: DOI arXiv
Rudnick, Zeév A central limit theorem for the spectrum of the modular domain. (English) Zbl 1090.81027 Ann. Henri Poincaré 6, No. 5, 863-883 (2005). MSC: 11F72 58J50 PDFBibTeX XMLCite \textit{Z. Rudnick}, Ann. Henri Poincaré 6, No. 5, 863--883 (2005; Zbl 1090.81027) Full Text: DOI arXiv
Kurlberg, Pär; Rudnick, Zeév On the distribution of matrix elements for the quantum cat map. (English) Zbl 1082.81054 Ann. Math. (2) 161, No. 1, 489-507 (2005). Reviewer: Jan Hamhalter (Praha) MSC: 81Q50 37D45 58J50 11Z05 PDFBibTeX XMLCite \textit{P. Kurlberg} and \textit{Z. Rudnick}, Ann. Math. (2) 161, No. 1, 489--507 (2005; Zbl 1082.81054) Full Text: DOI arXiv
Corvaja, Pietro; Rudnick, Zéev; Zannier, Umberto A lower bound for periods of matrices. (English) Zbl 1124.11306 Commun. Math. Phys. 252, No. 1-3, 535-541 (2004). MSC: 11C20 11J13 PDFBibTeX XMLCite \textit{P. Corvaja} et al., Commun. Math. Phys. 252, No. 1--3, 535--541 (2004; Zbl 1124.11306) Full Text: DOI arXiv
Hughes, C. P.; Rudnick, Z. On the distribution of lattice points in thin annuli. (English) Zbl 1076.11056 Int. Math. Res. Not. 2004, No. 13, 637-658 (2004). Reviewer: Ekkehard Krätzel (Jena) MSC: 11P21 11K70 60E05 PDFBibTeX XMLCite \textit{C. P. Hughes} and \textit{Z. Rudnick}, Int. Math. Res. Not. 2004, No. 13, 637--658 (2004; Zbl 1076.11056) Full Text: DOI arXiv
Ailon, Nir; Rudnick, Zéev Torsion points on curves and common divisors of \(a^k-1\) and \(b^k-1\). (English) Zbl 1057.11018 Acta Arith. 113, No. 1, 31-38 (2004). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11D61 11R58 PDFBibTeX XMLCite \textit{N. Ailon} and \textit{Z. Rudnick}, Acta Arith. 113, No. 1, 31--38 (2004; Zbl 1057.11018) Full Text: DOI arXiv Link
Hughes, C. P.; Rudnick, Z. Linear statistics of low-lying zeros of \(L\)-functions. (English) Zbl 1068.11055 Q. J. Math. 54, No. 3, 309-333 (2003). Reviewer: Emilio Elizalde (Bellaterra) MSC: 11M26 11M06 PDFBibTeX XMLCite \textit{C. P. Hughes} and \textit{Z. Rudnick}, Q. J. Math. 54, No. 3, 309--333 (2003; Zbl 1068.11055) Full Text: DOI arXiv
Rudnick, Zeév Number theoretic background. (English) Zbl 1160.11301 Degli Esposti, Mirko (ed.) et al., The mathematical aspects of quantum maps. Collected papers of a summer school, Bologna, September 1–11, 2001. Berlin: Springer (ISBN 3-540-02623-1/hbk). Lect. Notes Phys. 618, 25-47 (2003). MSC: 11-01 PDFBibTeX XMLCite \textit{Z. Rudnick}, Lect. Notes Phys. 618, 25--47 (2003; Zbl 1160.11301) Full Text: DOI
Keating, J. P.; Linden, N.; Rudnick, Z. Random matrix theory, the exceptional Lie groups and \(L\)-functions. (English) Zbl 1074.11052 J. Phys. A, Math. Gen. 36, No. 12, 2933-2944 (2003). MSC: 11M50 11M41 22E30 43A80 15B52 PDFBibTeX XMLCite \textit{J. P. Keating} et al., J. Phys. A, Math. Gen. 36, No. 12, 2933--2944 (2003; Zbl 1074.11052) Full Text: DOI arXiv
Hughes, Chris; Rudnick, Zeév Linear statistics for zeros of Riemann’s zeta function. (English) Zbl 1085.11040 C. R., Math., Acad. Sci. Paris 335, No. 8, 667-670 (2002). MSC: 11M26 11M36 PDFBibTeX XMLCite \textit{C. Hughes} and \textit{Z. Rudnick}, C. R., Math., Acad. Sci. Paris 335, No. 8, 667--670 (2002; Zbl 1085.11040) Full Text: DOI arXiv
Rudnick, Zeév; Zaharescu, Alexandru The distribution of spacings between fractional parts of lacunary sequences. (English) Zbl 1168.11317 Forum Math. 14, No. 5, 691-712 (2002). MSC: 11K06 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{A. Zaharescu}, Forum Math. 14, No. 5, 691--712 (2002; Zbl 1168.11317) Full Text: DOI arXiv
Kurlberg, Pär; Rudnick, Zeév On quantum ergodicity for linear maps of the torus. (English) Zbl 1042.81026 Commun. Math. Phys. 222, No. 1, 201-227 (2001). MSC: 81Q50 11L07 11Z05 37D20 37N20 PDFBibTeX XMLCite \textit{P. Kurlberg} and \textit{Z. Rudnick}, Commun. Math. Phys. 222, No. 1, 201--227 (2001; Zbl 1042.81026) Full Text: DOI arXiv
Kurlberg, Pär; Rudnick, Zeév Value distribution for eigenfunctions of desymmetrized quantum maps. (English) Zbl 1001.81025 Int. Math. Res. Not. 2001, No. 18, 985-1002 (2001). Reviewer: Pavel Dyshlovenko (Ul’yanovsk) MSC: 81Q50 11F72 37D40 PDFBibTeX XMLCite \textit{P. Kurlberg} and \textit{Z. Rudnick}, Int. Math. Res. Not. 2001, No. 18, 985--1002 (2001; Zbl 1001.81025) Full Text: DOI arXiv
Rudnick, Zeév; Sarnak, Peter; Zaharescu, Alexandru The distribution of spacings between the fractional parts of \(n^2\alpha\). (English) Zbl 1006.11041 Invent. Math. 145, No. 1, 37-57 (2001). Reviewer: Robert Tichy (Graz) MSC: 11K06 PDFBibTeX XMLCite \textit{Z. Rudnick} et al., Invent. Math. 145, No. 1, 37--57 (2001; Zbl 1006.11041) Full Text: DOI arXiv
Rudnick, Zeév; Zaharescu, Alexandru The distribution of spacings between small powers of a primitive root. (English) Zbl 0991.11049 Isr. J. Math. 120, Pt. A, 271-287 (2000). Reviewer: George Greaves (Cardiff) MSC: 11N25 11K99 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{A. Zaharescu}, Isr. J. Math. 120, Part A, 271--287 (2000; Zbl 0991.11049) Full Text: DOI
Kurlberg, Pär; Rudnick, Zeév Hecke theory and equidistribution for the quantization of linear maps of the torus. (English) Zbl 1013.81017 Duke Math. J. 103, No. 1, 47-77 (2000). Reviewer: Jürgen Elstrodt (Münster) MSC: 81Q50 11F25 37D40 37N20 PDFBibTeX XMLCite \textit{P. Kurlberg} and \textit{Z. Rudnick}, Duke Math. J. 103, No. 1, 47--77 (2000; Zbl 1013.81017) Full Text: DOI arXiv
Kurlberg, Pär; Rudnick, Zeév The distribution of spacings between quadratic residues. (English) Zbl 0985.11038 Duke Math. J. 100, No. 2, 211-242 (1999). Reviewer: George Greaves (Cardiff) MSC: 11N25 11K99 PDFBibTeX XMLCite \textit{P. Kurlberg} and \textit{Z. Rudnick}, Duke Math. J. 100, No. 2, 211--242 (1999; Zbl 0985.11038) Full Text: DOI arXiv
Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter On the generalized Ramanujan conjecture for \(\text{GL}(n)\). (English) Zbl 0965.11023 Doran, Robert S. (ed.) et al., Automorphic forms, automorphic representations, and arithmetic. Proceedings of the NSF-CBMS regional conference in mathematics on Euler products and Eisenstein series, Fort Worth, TX, USA, May 20-24, 1996. Dedicated to Goro Shimura. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 66(pt.2), 301-310 (1999). Reviewer: Chandrashekhar B.Khare (Mumbai) MSC: 11F70 11F72 PDFBibTeX XMLCite \textit{W. Luo} et al., Proc. Symp. Pure Math. 66, 301--310 (1999; Zbl 0965.11023)
Rudnick, Zeév; Zaharescu, Alexandru A metric result on the pair correlation of fractional parts of sequences. (English) Zbl 0961.11028 Acta Arith. 89, No. 3, 283-293 (1999). Reviewer: R.F.Tichy (Graz) MSC: 11K55 11J54 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{A. Zaharescu}, Acta Arith. 89, No. 3, 283--293 (1999; Zbl 0961.11028) Full Text: DOI EuDML Link
Rudnick, Zeév; Sarnak, Peter The pair correlation function of fractional parts of polynomials. (English) Zbl 0919.11052 Commun. Math. Phys. 194, No. 1, 61-70 (1998). Reviewer: L.Heinrich (Augsburg) MSC: 11K06 60G55 11J71 11K60 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{P. Sarnak}, Commun. Math. Phys. 194, No. 1, 61--70 (1998; Zbl 0919.11052) Full Text: DOI
Rudnick, Zeév; Sarnak, Peter Zeros of principal \(L\)-functions and random matrix theory. (English) Zbl 0866.11050 Duke Math. J. 81, No. 2, 269-322 (1996). Reviewer: R. W. Bruggeman (Utrecht) MSC: 11M50 11M26 11F66 11F70 11M41 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{P. Sarnak}, Duke Math. J. 81, No. 2, 269--322 (1996; Zbl 0866.11050) Full Text: DOI
Luo, W.; Rudnick, Z.; Sarnak, P. On Selberg’s eigenvalue conjecture. (English) Zbl 0844.11038 Geom. Funct. Anal. 5, No. 2, 387-401 (1995). Reviewer: A.A.Terras (La Jolla) MSC: 11F72 35P15 11L05 PDFBibTeX XMLCite \textit{W. Luo} et al., Geom. Funct. Anal. 5, No. 2, 387--401 (1995; Zbl 0844.11038) Full Text: DOI EuDML
Borovoi, Mikhail; Rudnick, Zeév Hardy-Littlewood varieties and semisimple groups. (English) Zbl 0917.11025 Invent. Math. 119, No. 1, 37-66 (1995). Reviewer: B.Z.Moroz (Bonn) MSC: 11G35 14M17 11N45 11P55 PDFBibTeX XMLCite \textit{M. Borovoi} and \textit{Z. Rudnick}, Invent. Math. 119, No. 1, 37--66 (1995; Zbl 0917.11025) Full Text: DOI EuDML
Rudnick, Zeév; Sarnak, Peter The \(n\)-level correlations of zeros of the zeta function. (English. Abridged French version) Zbl 0837.11047 C. R. Acad. Sci., Paris, Sér. I 319, No. 10, 1027-1032 (1994). Reviewer: M.Jutila (Turku) MSC: 11M06 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{P. Sarnak}, C. R. Acad. Sci., Paris, Sér. I 319, No. 10, 1027--1032 (1994; Zbl 0837.11047)
Phillips, Ralph; Rudnick, Zeév The circle problem in the hyperbolic plane. (English) Zbl 0812.11035 J. Funct. Anal. 121, No. 1, 78-116 (1994). Reviewer: S.J.Patterson (Göttingen) MSC: 11F72 11N75 11P21 30F35 PDFBibTeX XMLCite \textit{R. Phillips} and \textit{Z. Rudnick}, J. Funct. Anal. 121, No. 1, 78--116 (1994; Zbl 0812.11035) Full Text: DOI
Rudnick, Zeév; Sarnak, Peter The behaviour of eigenstates of arithmetic hyperbolic manifolds. (English) Zbl 0836.58043 Commun. Math. Phys. 161, No. 1, 195-213 (1994). MSC: 11F72 58J51 81Q50 11F32 11F37 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{P. Sarnak}, Commun. Math. Phys. 161, No. 1, 195--213 (1994; Zbl 0836.58043) Full Text: DOI
Duke, W.; Rudnick, Z.; Sarnak, P. Density of integer points on affine homogeneous varieties. (English) Zbl 0798.11024 Duke Math. J. 71, No. 1, 143-179 (1993). Reviewer: H.Rindler (Wien) MSC: 11G35 14L30 14G40 22E46 53C35 PDFBibTeX XMLCite \textit{W. Duke} et al., Duke Math. J. 71, No. 1, 143--179 (1993; Zbl 0798.11024) Full Text: DOI
Eskin, Alex; Rudnick, Zeév; Sarnak, Peter A proof of Siegel’s weight formula. (English) Zbl 0743.11023 Int. Math. Res. Not. 1991, No. 5, 65-69 (1991). Reviewer: Michio Ozeki (Hirosaki) MSC: 11E45 11E12 PDFBibTeX XMLCite \textit{A. Eskin} et al., Int. Math. Res. Not. 1991, No. 5, 65--69 (1991; Zbl 0743.11023) Full Text: DOI