Mathematika A JOURNAL OF PURE AND APPLIED MATHEMATICS

VOLUME 59, 2013

Editorial Board

Managing Editor

ALEX SOBOLEV, University College London Analysis, spectral theory, PDEs

KEITH BALL FRS, University of Warwick ALEXANDER MOVCHAN, University of Liverpool Discrete geometry, functional analysis, Mathematical methods of solids, boundary value information theory problems IMRE BAR´ ANY´ , University College London ASSAF NAOR, Convex geometry with applications New York University/Courant Institute Analysis, geometry ANTHONY CARBERY, The University of Edinburgh FRANK SMITH, University College London Classical harmonic analysis Industrial and biomedical modelling KANNAN SOUNDARARAJAN, Stanford University TIMOTHY GOWERS FRS, Number theory University of Cambridge Analysis, combinatorics JEAN-MARC VANDEN-BROECK, University College London FRANCIS JOHNSON, University College London Fluid mechanics, free boundary problems, Algebra, geometric group theory and topology scientific computing and asymptotics MINHYONG KIM, University of Oxford and ROBERT VAUGHAN FRS, Pohang University of Science and Technology Pennsylvania State University Number theory, algebraic geometry Analytic number theory IMRE LEADER, University of Cambridge GUNTER¨ M.ZIEGLER, Freie Universitat¨ Berlin Combinatorics, graphs Discrete geometry, polytopes, topological methods

University College London, 2013 London Mathematical Society Downloaded from https://www.cambridge.org/core. IP address: 170.106.33.42, on 01 Oct 2021 at 00:09:05, subject to the Cambridge Core terms of use, available at https://www.cambridge.org/core/terms. https://doi.org/10.1112/S0025579312001222 Ownership and Publication of Mathematika Mathematika was founded in the early 1950s by Harold Davenport and is owned by University College London. Since 2010, the journal has been published on behalf of its Mathematika owner by the London Mathematical Society (LMS). The LMS is the major British learned A JOURNAL OF PURE AND APPLIED MATHEMATICS Society for mathematics and publishes twelve other journals, five of which are in collaboration with other learned societies. Cambridge University Press prints and Editorial Board distributes Mathematika under agreement with the London Mathematical Society. All articles, including the full archive dating back to 1954, are available electronically via Managing Editor Cambridge Journals Online. ALEX SOBOLEV, University College London Analysis, spectral theory, PDEs Aims and Scope Mathematika publishes both pure and applied mathematical articles of the highest quality. KEITH BALL FRS, University of Warwick ALEXANDER MOVCHAN, University of Liverpool The traditional emphasis has been towards the purer side of mathematics but applied Discrete geometry, functional analysis, Mathematical methods of solids, boundary value information theory problems mathematics and articles addressing both aspects are equally welcome. IMRE BAR´ ANY´ , University College London ASSAF NAOR, Submission of Manuscripts Convex geometry with applications New York University/Courant Institute Analysis, geometry Authors wishing to submit a paper for publication should follow the guidelines available ANTHONY CARBERY, The University of Edinburgh FRANK SMITH, University College London via the webpage http://www.lms.ac.uk/publications. Classical harmonic analysis Industrial and biomedical modelling Authors will be asked to assign copyright to University College London prior to KANNAN SOUNDARARAJAN, Stanford University TIMOTHY GOWERS FRS, publication. Number theory University of Cambridge No paper should have been published or be under consideration for publication elsewhere. Analysis, combinatorics JEAN-MARC VANDEN-BROECK, University College London Nor may the paper be submitted elsewhere while it remains under consideration by FRANCIS JOHNSON, University College London Fluid mechanics, free boundary problems, Mathematika. Algebra, geometric group theory and topology scientific computing and asymptotics Offprints MINHYONG KIM, University of Oxford and ROBERT VAUGHAN FRS, Pohang University of Science and Technology Pennsylvania State University A URL giving free access to the final published article will be provided free of charge. Number theory, algebraic geometry Analytic number theory Offprints can be ordered on the form which will accompany the page proofs. IMRE LEADER, University of Cambridge GUNTER¨ M.ZIEGLER, Freie Universitat¨ Berlin Combinatorics, graphs Discrete geometry, polytopes, topological methods Printed back numbers

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Downloaded from https://www.cambridge.org/core. IP address: 170.106.33.42, on 01 Oct 2021 at 00:09:05, subject to the Cambridge Core terms of use, available at https://www.cambridge.org/core/terms. https://doi.org/10.1112/S0025579312001222 2013 JULY 2 PART 59 VOLUME

Mathematika VOLUME 59 PART 2 JULY 2013 303–319 333–363 , subject to the Cambridge Core terms of 2013 Intersections of Negative values -sphere are not JULY 1) 2 − d ( PART 01 Oct 2021 at 00:09:05 , on 59 The value distribution of m discrepancy 365–379 Dissolving of cusp forms: higher- 1 G The distribution of the maximum Jörn Steuding L Kakeya sets over non-Archimedean × a points on the Margarita Spirova VOLUME and G 170.106.33.42 On polytopal upper bound spheres 493–496 + 2 and d https://doi.org/10.1112/S0025579312001222 . . IP address: Jens Marklof Lower bounds for and Leo Goldmakher Morten S. Risager Márton Hablicsek Basudeb Datta and and On Selmer groups of quadratic twists of elliptic curves with Subgroups of fractional dimension in nilpotent or solvable and Q and Almost all sets of Homogenization of the Dirichlet problem for elliptic systems: Zero-one laws in simultaneous and multiplicative Diophantine A small value estimate for On a conjecture of Igusa 399–425 https://www.cambridge.org/core https://www.cambridge.org/core/terms -operator error estimates 463–476 2 T. A. Suslina of the Riemann zeta function on the critical lineL Horst Martini, Christian Richter 443–462 Justas Kalpokas, Maxim A. Korolev Bhaskar Bagchi of character sumsballs and sets of constant width in finite-dimensional normed spacesNicolas de Saxcé Lie groups 477–492 427–442 497–511 Jonathan W. Bober Ben Lichtin Emek Demirci Akarsu incomplete Gauss sums 381–398 Damien Roy Liangpan Li approximationArmen Vagharshakyan 321–332 Evan P. Dummit Sean Eberhard Yiannis N. Petridis Maosheng Xiong local ringssubtransitiveorder Fermi’s golden rulesa two-torsion over 257–266 269–301 267–268 Downloaded from use, available at