Zawartość tomu 183
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On Galois groups of a one-parameter orthogonal family of polynomials Acta Arithmetica 183 (2018), 1-34 MSC: Primary 11R32; Secondary 11C08, 33C45. DOI: 10.4064/aa7934-10-2017
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Beta-expansions of rational numbers in quadratic Pisot bases Acta Arithmetica 183 (2018), 35-51 MSC: Primary 11A63; Secondary 11R06, 37B10. DOI: 10.4064/aa8260-11-2017
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Real zeros of the Hurwitz zeta function Acta Arithmetica 183 (2018), 53-62 MSC: Primary 11M35; Secondary 11M20. DOI: 10.4064/aa8647-11-2017
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Sums of the triple divisor function over values of a quaternary quadratic form Acta Arithmetica 183 (2018), 63-85 MSC: Primary 11P05; Secondary 11P32. DOI: 10.4064/aa170120-20-10
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A natural probability measure derived from Stern’s diatomic sequence Acta Arithmetica 183 (2018), 87-99 MSC: Primary 11B85; Secondary 42A38, 28A80. DOI: 10.4064/aa170709-22-1
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New permutation trinomials constructed from fractional polynomials Acta Arithmetica 183 (2018), 101-116 MSC: Primary 05A05; Secondary 11T06. DOI: 10.4064/aa8461-11-2017
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Counting automorphic forms on norm one tori Acta Arithmetica 183 (2018), 117-143 MSC: Primary 11F55; Secondary 11F12, 11F66. DOI: 10.4064/aa161214-22-1
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An average asymptotic for the number of extremal primes of elliptic curves Acta Arithmetica 183 (2018), 145-165 MSC: Primary 11G05; Secondary 11F30. DOI: 10.4064/aa170406-30-1
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On sign changes of eigenvalues of Siegel cusp forms of genus 2 in prime powers Acta Arithmetica 183 (2018), 167-172 MSC: Primary 11F46. DOI: 10.4064/aa170419-4-11
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Integral bases and monogenity of the simplest sextic fields Acta Arithmetica 183 (2018), 173-183 MSC: Primary 11R04; Secondary 11Y50. DOI: 10.4064/aa170502-23-10
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A $q$-analogue for sums of powers Acta Arithmetica 183 (2018), 185-189 MSC: Primary 05A30; Secondary 05A15. DOI: 10.4064/aa170515-4-11
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Inégalité de Turán–Kubilius friable et indépendance asymptotique Acta Arithmetica 183 (2018), 191-199 MSC: 11N25, 11N37. DOI: 10.4064/aa170810-20-1
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Descent for the punctured universal elliptic curve, and the average number of integral points on elliptic curves Acta Arithmetica 183 (2018), 201-222 MSC: 11D, 11G05, 11D59. DOI: 10.4064/aa8458-11-2017
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Halász’s theorem for Beurling numbers Acta Arithmetica 183 (2018), 223-235 MSC: Primary 11N37; Secondary 11N05. DOI: 10.4064/aa8668-11-2017
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CM points on Shimura curves and $p$-adic binary quadratic forms Acta Arithmetica 183 (2018), 237-256 MSC: Primary 11G18; Secondary 11E08, 11G15. DOI: 10.4064/aa170221-25-11
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Estimates for Fourier coefficients of Hermitian cusp forms of degree two Acta Arithmetica 183 (2018), 257-275 MSC: Primary 11F55; Secondary 11F50, 11F30. DOI: 10.4064/aa170301-26-10
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The number of representations of some positive integers by binary forms Acta Arithmetica 183 (2018), 277-283 MSC: 11E16, 11E25. DOI: 10.4064/aa170717-2-12
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On the error term concerning the number of subgroups of the groups $\mathbb {Z}_m \times \mathbb {Z}_n$ with $m,n\le x$ Acta Arithmetica 183 (2018), 285-299 MSC: Primary 11A25, 11N37; Secondary 20K01, 20K27. DOI: 10.4064/aa171111-7-2
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Fixed point proportions for Galois groups of non-geometric iterated extensions Acta Arithmetica 183 (2018), 301-315 MSC: 37P05, 11R32, 14G25. DOI: 10.4064/aa8535-2-2018
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Minimal regular models of quadratic twists of genus two curves Acta Arithmetica 183 (2018), 317-337 MSC: Primary 11G20; Secondary 14G40. DOI: 10.4064/aa161222-15-12
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Some variants of Lagrange's four squares theorem Acta Arithmetica 183 (2018), 339-356 MSC: Primary 11E25; Secondary 11D85, 11E20, 11P05. DOI: 10.4064/aa170508-14-3
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Large 2-adic Galois image and non-existence of certain abelian surfaces over ${\mathbb Q}$ Acta Arithmetica 183 (2018), 357-383 MSC: Primary 11G10, 14K15; Secondary 17B45, 20G25. DOI: 10.4064/aa170514-20-2
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On the height of solutions to norm form equations Acta Arithmetica 183 (2018), 385-396 MSC: 11J25, 11R27, 11S20. DOI: 10.4064/aa170907-18-2