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. Editorial Board Cambridge University Press prints and distributes Mathematika under agreement with the London Mathematical Society. Managing Editor 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. KEITH BALL FRS, University of Warwick FRANCIS JOHNSON, University College London The traditional emphasis has been towards the purer side of mathematics but applied Discrete geometry, functional analysis, Algebra, geometric group theory and topology mathematics and articles addressing both aspects are equally welcome. information theory MINHYONG KIM, University of Oxford and Submission of Manuscripts IMRE BAR´ ANY´ , University College London Ewha Womans University Convex geometry with applications , algebraic geometry Authors wishing to submit a paper for publication should follow the guidelines available JONATHAN BENNETT, IMRE LEADER, via the webpage www.lms.ac.uk/publications. , graphs University of Birmingham Authors will be asked to assign copyright to University College London prior to Classical harmonic analysis ALEXANDER MOVCHAN, University of Liverpool publication. Mathematical methods of solids, boundary value WILLIAM CHEN, Macquarie University Sydney problems No paper should have been published or be under consideration for publication elsewhere. Number theory, uniform distribution, ASSAF NAOR, Princeton University Nor may the paper be submitted elsewhere while it remains under consideration by discrepancy theory Analysis, geometry Mathematika. TIMOTHY GOWERS FRS, FRANK SMITH, University College London Offprints University of Cambridge Industrial and biomedical modelling Analysis, combinatorics KANNAN SOUNDARARAJAN, Stanford University A URL giving free access to the final published article will be provided free of charge. ANDREW GRANVILLE, Number theory Offprints can be ordered on the form which will accompany the page proofs. Universite´ de Montreal´ and ROBERT VAUGHAN FRS, Printed back numbers University College London Pennsylvania State University Number theory, additive combinatorics Orders for volume 56 (2010) onwards should be sent to Cambridge University Press. Printed copies of volume 55 (2009) and earlier volumes are available from the Department Subscriptions of Mathematics, University College London. Please contact [email protected]. Mathematika is published in three issues in 2018; this issue is January 2018. The subscription price for 2018 is £191 ($306 in USA, Canada and Mexico) which includes print and electronic access. The Copying electronic-only access price for 2018 is £162 ($256 in USA, Canada and Mexico). Single parts cost £73 ($117 in USA, Canada and Mexico). Prices include delivery by air where appropriate. EU subscribers who This journal is registered with the Copyright Clearance Centre, 222 Rosewood Drive, are not registered for VAT should add VAT at their country’s rate. 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Periodicals postage is paid at New York, NY and subject to the usual conditions. For all other use, permission should be sought from additional mailing offices. POSTMASTER: send address changes in the USA, Canada and Mexico to Cambridge or the American branch of Cambridge University Press. 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 This journal has been printed on FSC-certified paper and cover board. See www.fsc.org. subscribers, is available at https://www.cambridge.org/mtk. Typeset by Sunrise Setting Ltd, Brixham, UK. c University College London, 2018 Printed in the UK by Bell and Bain Ltd.

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VOLUME 64 PART 1 2018

Mohammad N. Ivaki A local uniqueness theorem for minimizers of Petty’s conjectured projection inequality 1–19

Joni Teräväinen The Goldbach problem for primes that are sums of two squares plus one 20–70

Péter Komjáth Set mappings with free sets which are progressions 71–76

0 0 L. Olsen On the Πγ -completeness and Σγ -completeness of multifractal decomposition sets 77–114 Caïus Wojcik and Luca Q. Zamboni Monochromatic factorizations of VOLUME 64 PART 1 2018 words and periodicity 115–123

Daniel Hug and Zakhar Kabluchko An inclusion–exclusion identity for normal cones of polyhedral sets 124–136

J. C. Andrade, S. M. Gonek and J. P. Keating Truncated product VOLUME representations for L-functions in the hyperelliptic ensemble 137–158

András Biró Local average of the hyperbolic circle problem for Fuchsian groups 159–183 64 PART Hayato Kohama and Yoshinori Mizuno Kernel functions of the twisted symmetric square of elliptic modular forms 184–210 2018 1

Rafał Latała and Marta Strzelecka Comparison of weak and strong moments for vectors with independent coordinates 211–229

Aled Walker The primes are not metric Poissonian 230–236

Xianchang Meng Large bias for integers with prime factors in arithmetic progressions 237–252

R. Lutowski, N. Petrosyan and A. Szczepański Classification of spin structures on four-dimensional almost-flat manifolds 253–266

Dong Han Kim, Michał Rams and Baowei Wang Hausdorff dimension of the set approximated by irrational rotations 267–283

Tuomas Hytönen and Emil Vuorinen A two-weight inequality between p 2 p L (` ) and L 284–302

Downloaded from https://www.cambridge.org/core. IP address: 170.106.40.139, on 23 Sep 2021 at 20:29:37, subject to the Cambridge Core terms of use, available at https://www.cambridge.org/core/terms. https://doi.org/10.1112/S0025579318000098