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• The density of integers representable as the sum of four prime cubes Christian Elsholtz, Jan-Christoph Schlage-Puchta Acta Arithmetica MSC: Primary 11P32; Secondary 11P05, 11N36. DOI: 10.4064/aa180827-26-2 Published online: 22 November 2019
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• On path partitions of the divisor graph Paul Melotti, Éric Saias Acta Arithmetica MSC: Primary 11N37, 11B75; Secondary 05C38, 05C70. DOI: 10.4064/aa180711-26-4 Published online: 25 November 2019
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• On exceptional sets of transcendental functions with integer coefficients: solution of a problem of Mahler Diego Marques, Carlos Gustavo Moreira Acta Arithmetica MSC: Primary 11Jxx; Secondary 30Dxx. DOI: 10.4064/aa180326-13-2 Published online: 29 November 2019
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• Refined ramification breaks in characteristic $p$ G. Griffith Elder, Kevin Keating Acta Arithmetica MSC: Primary 11S15; Secondary 11S23, 20C11. DOI: 10.4064/aa181230-13-6 Published online: 29 November 2019
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• The trace of 2-primitive elements of finite fields Stephen D. Cohen, Giorgos Kapetanakis Acta Arithmetica MSC: Primary 11T30; Secondary 11T06. DOI: 10.4064/aa190307-23-5 Published online: 29 November 2019
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• Density of positive diagonal binary quadratic forms Brandon Hanson, Robert Vaughan Acta Arithmetica MSC: 11E16, 11P55, 11N56. DOI: 10.4064/aa180519-8-4 Published online: 11 December 2019
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• A binary quadratic Titchmarsh divisor problem Junxian Li Acta Arithmetica MSC: 11L20, 11N37, 11N36, 11L07. DOI: 10.4064/aa180802-19-2 Published online: 12 December 2019
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• Prime-power factorization of binomial coefficients D. Berend, G. Kolesnik Acta Arithmetica MSC: Primary 11N37, 11N60, 11N69; Secondary 11B65. DOI: 10.4064/aa180814-10-4 Published online: 13 December 2019
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• Super-multiplicativity of ideal norms in number fields Stefano Marseglia Acta Arithmetica MSC: Primary 13A15; Secondary 11R21, 11R54. DOI: 10.4064/aa181010-26-3 Published online: 2 January 2020
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• Mean values of generalized Dedekind sums over short intervals Lei Liu, Zhefeng Xu, Ni Wang Acta Arithmetica MSC: 11F20, 11M20. DOI: 10.4064/aa181111-18-2 Published online: 8 January 2020
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• Gaussian primes in almost all narrow sectors Bingrong Huang, Jianya Liu, Zeév Rudnick Acta Arithmetica MSC: Primary 11R44; Secondary 11N05. DOI: 10.4064/aa190331-23-7 Published online: 13 January 2020
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• Note on a result of Shparlinski and related results Norbert Hegyvári, Máté Pálfy Acta Arithmetica MSC: Primary 11B30, 11L03; Secondary 11B75. DOI: 10.4064/aa181018-8-4 Published online: 16 January 2020
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• Unit equations and Fermat surfaces in positive characteristic Peter Koymans, Carlo Pagano Acta Arithmetica MSC: Primary 11D41; Secondary 11D61. DOI: 10.4064/aa180605-23-5 Published online: 17 January 2020
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• Values at non-positive integers of generalized Euler–Zagier multiple zeta-functions Driss Essouabri, Kohji Matsumoto Acta Arithmetica MSC: Primary 11M32; Secondary 11M41. DOI: 10.4064/aa171120-13-3 Published online: 17 January 2020
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