Ownership and Publication of Mathematika Mathematika was founded in the early 1950s by Harold Davenport and is owned by Mathematika University College London. Since 2010, the journal has been published on behalf of its owner by the London Mathematical Society (LMS). The LMS celebrated its 150th A JOURNAL OF PURE AND APPLIED MATHEMATICS anniversary in 2015; it is the major British learned Society for mathematics and publishes eleven other journals, five of which are in collaboration with other learned societies. Cambridge University Press prints and distributes Mathematika under agreement with the Managing Editors London Mathematical Society. WILLIAM CHEN, Macquarie University Sydney , uniform distribution, discrepancy theory FRANK SMITH, University College London Industrial and biomedical modelling All articles are available electronically via Cambridge Core. ALEX SOBOLEV, University College London Analysis, spectral theory, PDEs Aims and Scope Mathematika publishes both pure and applied mathematical articles of the highest quality. Editorial Board The traditional emphasis has been towards the purer side of mathematics but applied KEITH BALL FRS, University of Warwick Discrete geometry, functional analysis, information theory mathematics and articles addressing both aspects are equally welcome. IMRE BAR´ ANY´ , University College London Convex geometry with applications JONATHAN BENNETT, University of Birmingham Classical harmonic analysis Submission of Manuscripts VICTOR BERESNEVICH, University of York Number theory, Diophantine approximation Authors wishing to submit a paper for publication should follow the guidelines available REGISDELA´ BRETECHE` , Universite´ Paris Diderot Analytic and probabilistic number theory, Diophantine geometry via the webpage www.lms.ac.uk/publications. ANDREW GRANVILLE, Universite´ de Montreal´ and Number theory, additive University College London Authors will be asked to assign copyright to University College London prior to AIMO HINKKANEN, University of Illinois at Complex analysis, complex dynamics, quasiconformal publication. Urbana-Champaign geometry No paper should have been published or be under consideration for publication elsewhere. KONSTANTIN KHANIN, University of Toronto Dynamical systems, ergodic theory, mathematical physics Nor may the paper be submitted elsewhere while it remains under consideration by IMRE LEADER, Combinatorics, graphs Mathematika. ADRIAN LEWIS, Cornell University Variational analysis, optimisation DAVID LOEFFLER, University of Warwick Algebraic number theory, automorphic forms Offprints SVITLANA MAYBORODA, University of Minnesota Harmonic analysis, linear PDEs, geometric measure theory A URL giving free access to the final published article will be provided free of charge. ALEXANDER MOVCHAN, University of Liverpool Mathematical methods of solids, boundary value problems Offprints can be ordered on the form which will accompany the page proofs. TOM SANDERS, University of Oxford Analysis, combinatorics KANNAN SOUNDARARAJAN, Stanford University Number theory Printed back numbers ROBERT VAUGHAN FRS, Pennsylvania State University SARAH ZERBES, University College London Algebraic number theory, Iwasawa theory, p-adic Orders for volume 56 (2010) onwards should be sent to Cambridge University Press. Hodge theory Printed copies of volume 55 (2009) and earlier volumes are available from the Department of Mathematics, University College London. Please contact [email protected]. Subscriptions Copying Mathematika is published in four issues in 2019; this issue is April 2019. The subscription price for 2019 is £201 ($322 in USA, Canada and Mexico) which includes print and electronic access. The electronic-only access price This journal is registered with the Copyright Clearance Centre, 222 Rosewood Drive, for 2019 is £171 ($269 in USA, Canada and Mexico). Single parts cost £77 ($123 in USA, Canada and Mexico). Danvers, MA 01923, USA. Organizations in the USA that are registered with the CCC Prices include delivery by air where appropriate. EU subscribers who are not registered for VAT should add VAT may therefore copy material beyond the limits permitted by sections 107 and 108 of US at their country’s rate. VAT-registered subscribers should provide their VAT registration number. copyright law subject to payment to CCC of the per-copy fee. This consent does not extend Orders, which must be accompanied by payment, should be sent to a subscription agent, book-seller, or direct to multiple copying for promotional and commercial purposes. Code 0025-5793/2019. to Cambridge University Press, Journals Fulfilment Department, UPH, Shaftesbury Road, Cambridge CB2 8BS, UK or, in the USA, Canada and Mexico, Cambridge University Press, Journals Fulfillment Department, 1 Liberty Organizations authorized by the Copyright Licensing Agency may also copy material Plaza, Floor 20, New York, NY 10006, USA. Japanese prices are available from Kinokuniya Company Ltd, PO subject to the usual conditions. For all other use, permission should be sought from Box 55, Chitose, Tokyo 156, Japan. Periodicals postage is paid at New York, NY and additional mailing offices. Cambridge or the American branch of Cambridge University Press. POSTMASTER: send address changes in the USA, Canada and Mexico to Mathematika, Cambridge University Press, Journals Fulfillment Department, 1 Liberty Plaza, Floor 20, New York, NY 10006, USA. Published by the London Mathematical Society on behalf of University College London. This journal is included in the Cambridge Core service. Further information, and online access for subscribers, is available at https://www.cambridge.org/mtk. This journal has been printed on FSC-certified paper and cover board. See www.fsc.org. c University College London, 2019 Typeset by Sunrise Setting Ltd, Brixham, UK.

Printed in the UK by Bell and Bain Ltd.

Downloaded from https://www.cambridge.org/core. University of Athens, on 29 Sep 2021 at 01:59:36, subject to the Cambridge Core terms of use , available at https://www.cambridge.org/core/terms. https://doi.org/10.1112/S0025579318000451 Mathematika

VOLUME 65 PART 2 2019

Harry Metrebian Tiling with punctured intervals 181–189

Peter Sjögren and Tomasz Z. Szarek Analysis in the multi-dimensional ball 190–212

A. G. Earnest and Anna Haensch Completeness of the list of spinor regular ternary quadratic forms 213–235

Allysa Lumley Complex moments and the distribution of values of L(1, χD) over function fields with applications to class numbers 236–271

Alexandre Girouard, Jean Lagacé, Iosif Polterovich and Alessandro Savo The Steklov spectrum of cuboids 272–310 VOLUME 65 PART 2 2019

Han Yu Dimensions of triangle sets 311–332

Mark Watkins Class number one from analytic rank two 333–374

Andrew R. Booker, Micah B. Milinovich and Nathan Ng Quantitative VOLUME estimates for simple zeros of L-functions 375–399

Manfred G. Madritsch and Robert F. Tichy Multidimensional van der 65 Corput sets and small fractional parts of polynomials 400–435 PART 2019 2

Downloaded from https://www.cambridge.org/core. University of Athens, on 29 Sep 2021 at 01:59:36, subject to the Cambridge Core terms of use , available at https://www.cambridge.org/core/terms. https://doi.org/10.1112/S0025579318000451