Contents of Volume 178
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Induced random $\beta $-transformation Acta Arithmetica 178 (2017), 1-14 MSC: Primary 11A63; Secondary 37A45. DOI: 10.4064/aa8306-8-2016
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Sur les occurrences des mots dans les nombres premiers Acta Arithmetica 178 (2017), 15-42 MSC: Primary 11A63; Secondary 11B85, 11N05, 11L20. DOI: 10.4064/aa8337-8-2016
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Non-real poles on the axis of absolute convergence of the zeta functions associated to Pascal’s triangle modulo a prime Acta Arithmetica 178 (2017), 43-55 MSC: Primary 11M41; Secondary 11B65. DOI: 10.4064/aa8359-9-2016
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Small prime solutions to linear equations in three variables Acta Arithmetica 178 (2017), 57-76 MSC: Primary 11P32; Secondary 11P55. DOI: 10.4064/aa8427-8-2016
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On the factorization of the discriminant of a classical modular equation Acta Arithmetica 178 (2017), 77-85 MSC: Primary 11F03; Secondary 12D05, 14K22. DOI: 10.4064/aa8538-8-2016
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Triads of integers with equal sums of squares and equal products and a related multigrade chain Acta Arithmetica 178 (2017), 87-100 MSC: Primary 11D09, 11D25; Secondary 11D41. DOI: 10.4064/aa8574-9-2016
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Restricted sumsets in finite nilpotent groups Acta Arithmetica 178 (2017), 101-123 MSC: Primary 11P70; Secondary 11B13. DOI: 10.4064/aa7437-8-2016
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A non-uniform distribution property of most orbits, in case the $3x+1$ conjecture is true Acta Arithmetica 178 (2017), 125-134 MSC: 11B37, 11A99, 11B83. DOI: 10.4064/aa8385-9-2016
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On the sign changes in a weighted divisor problem Acta Arithmetica 178 (2017), 135-152 MSC: 11N37, 11P21. DOI: 10.4064/aa8464-2-2017
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An explicit construction for unramified quadratic extensions of biquadratic fields Acta Arithmetica 178 (2017), 153-161 MSC: Primary 11G05; Secondary 11R29, 11R11. DOI: 10.4064/aa8493-10-2016
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Integers divisible by a large shifted prime Acta Arithmetica 178 (2017), 163-180 MSC: Primary 11N25. DOI: 10.4064/aa8495-2-2017
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Reduced normal form of local integral bases Acta Arithmetica 178 (2017), 181-200 MSC: Primary 11R04; Secondary 11Y40. DOI: 10.4064/aa8509-10-2016
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The infinitude of $\mathbb {Q}(\sqrt {-p})$ with class number divisible by 16 Acta Arithmetica 178 (2017), 201-233 MSC: Primary 11R29; Secondary 11N36. DOI: 10.4064/aa8147-2-2017
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Discrete spheres and arithmetic progressions in product sets Acta Arithmetica 178 (2017), 235-248 MSC: Primary 11B25. DOI: 10.4064/aa8332-11-2016
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A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1 Acta Arithmetica 178 (2017), 249-256 MSC: Primary 11J70; Secondary 11T55. DOI: 10.4064/aa8368-12-2016
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A Mahler-type estimate of weighted Fekete sums on the Berkovich projective line Acta Arithmetica 178 (2017), 257-272 MSC: Primary 37P30; Secondary 37P50. DOI: 10.4064/aa8437-9-2016
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Gauss sums, Stickelberger’s theorem and the Gras conjecture for ray class groups Acta Arithmetica 178 (2017), 273-299 MSC: Primary 11R80. DOI: 10.4064/aa8537-2-2017
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A quantitative form of the Erdős–Birch theorem Acta Arithmetica 178 (2017), 301-311 MSC: 11A07, 11B13. DOI: 10.4064/aa8434-10-2016
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The equivariant local $\varepsilon $-constant conjecture for unramified twists of $\mathbb Z_p(1)$ Acta Arithmetica 178 (2017), 313-383 MSC: Primary 11S23; Secondary 11S25. DOI: 10.4064/aa8567-10-2016
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On the solvability of an Eisenstein trinomial of prime degree Acta Arithmetica 178 (2017), 385-396 MSC: 11R32, 12F10. DOI: 10.4064/aa8581-10-2016