caa a22 4500 445320184 CHVBK 20180317142701.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00023-011-0098-z doi (NATIONALLICENCE)springer-10.1007/s00023-011-0098-z On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus [Elektronische Daten] [Jean Bourgain, Zeév Rudnick] The width of a convex curve in the plane is the minimal distance between a pair of parallel supporting lines of the curve. In this paper we study the width of nodal lines of eigenfunctions of the Laplacian on the standard flat torus. We prove a variety of results on the width, some having stronger versions assuming a conjecture of Cilleruelo and Granville asserting a uniform bound for the number of lattice points on the circle lying in short arcs. Springer Basel AG, 2011 Bourgain Jean School of Mathematics, Institute for Advanced Study, 08540, Princeton, NJ, USA aut Rudnick Zeév Raymond and Beverly Sackler School of Mathematical Sciences, Tel Aviv University, 69978, Tel Aviv, Israel aut Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/6(2011-09-01), 1027-1053 1424-0637 12:6<1027 2011 12 23 https://doi.org/10.1007/s00023-011-0098-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00023-011-0098-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bourgain Jean School of Mathematics, Institute for Advanced Study, 08540, Princeton, NJ, USA aut NATIONALLICENCE 700 1- Rudnick Zeév Raymond and Beverly Sackler School of Mathematical Sciences, Tel Aviv University, 69978, Tel Aviv, Israel aut NATIONALLICENCE 773 0- Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/6(2011-09-01), 1027-1053 1424-0637 12:6<1027 2011 12 23 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer