Zawartość tomu 164
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Arithmetic diophantine approximation for continued fractions-like maps on the interval Acta Arithmetica 164 (2014), 1-23 MSC: Primary 11J70; Secondary 11Y65. DOI: 10.4064/aa164-1-1
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Polynomial relations amongst algebraic units of low measure Acta Arithmetica 164 (2014), 25-30 MSC: Primary 11R09; Secondary 11G50. DOI: 10.4064/aa164-1-2
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A note on the article by F. Luca “On the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^{x}+b^y=(m^2+1)^z$” (Acta Arith. 153 (2012), 373–392) Acta Arithmetica 164 (2014), 31-42 MSC: Primary 11D61; Secondary 11J86. DOI: 10.4064/aa164-1-3
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Kloosterman sums in residue rings Acta Arithmetica 164 (2014), 43-64 MSC: Primary 11L05. DOI: 10.4064/aa164-1-4
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Perfect powers expressible as sums of two fifth or seventh powers Acta Arithmetica 164 (2014), 65-100 MSC: Primary 11D41; Secondary 11F80, 11G30. DOI: 10.4064/aa164-1-5
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Complete arcs arising from a generalization of the Hermitian curve Acta Arithmetica 164 (2014), 101-118 MSC: Primary 05B25, 11T23, 11T24; Secondary 14H25. DOI: 10.4064/aa164-2-1
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On the behaviour close to the unit circle of the power series with Möbius function coefficients Acta Arithmetica 164 (2014), 119-136 MSC: Primary 11N37; Secondary 30B30. DOI: 10.4064/aa164-2-2
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Local-global principle for certain biquadratic normic bundles Acta Arithmetica 164 (2014), 137-144 MSC: Primary 11G35; Secondary 14G25, 14G05, 14D10, 14C25. DOI: 10.4064/aa164-2-3
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${\bf Bad}(s,t)$ is hyperplane absolute winning Acta Arithmetica 164 (2014), 145-152 MSC: Primary 11J13. DOI: 10.4064/aa164-2-4
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On the sum of dilations of a set Acta Arithmetica 164 (2014), 153-162 MSC: 11B13, 05B10, 11B30. DOI: 10.4064/aa164-2-5
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Galois towers over non-prime finite fields Acta Arithmetica 164 (2014), 163-179 MSC: 11R32, 11R58, 11G20, 11G09. DOI: 10.4064/aa164-2-6
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The mean square of the divisor function Acta Arithmetica 164 (2014), 181-208 MSC: Primary 11M; Secondary 11M06. DOI: 10.4064/aa164-2-7
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On the cyclotomic elements in $K_{2}$ of a rational function field Acta Arithmetica 164 (2014), 209-219 MSC: 11R70, 11R58, 19F15. DOI: 10.4064/aa164-3-1
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Sumsets in quadratic residues Acta Arithmetica 164 (2014), 221-243 MSC: 11B13, 11B50, 11B75. DOI: 10.4064/aa164-3-2
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The Cohen–Lenstra heuristics, moments and $p^j$-ranks of some groups Acta Arithmetica 164 (2014), 245-263 MSC: 11R29, 11G05. DOI: 10.4064/aa164-3-3
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Euclidean quadratic forms and ADC forms II: integral forms Acta Arithmetica 164 (2014), 265-308 MSC: Primary 11E08, 11E12, 13F05, 13F07. DOI: 10.4064/aa164-3-4
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Generalised Weber functions Acta Arithmetica 164 (2014), 309-341 MSC: 11G15, 14K22. DOI: 10.4064/aa164-4-1
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An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type Acta Arithmetica 164 (2014), 343-353 MSC: Primary 11G18, 14G05; Secondary 11G10, 11G15. DOI: 10.4064/aa164-4-2
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Quantitative analysis of the Satake parameters of $\mathrm {GL}_2$ representations with prescribed local representations Acta Arithmetica 164 (2014), 355-379 MSC: Primary 11F70; Secondary 11F72, 22E55. DOI: 10.4064/aa164-4-3
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Class numbers of totally real fields and applications to the Weber class number problem Acta Arithmetica 164 (2014), 381-397 MSC: Primary 11R29, 11R80; Secondary 11R18, 11Y40. DOI: 10.4064/aa164-4-4
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Computations of Galois representations associated to modular forms of level one Acta Arithmetica 164 (2014), 399-411 MSC: 11-04, 11Fxx, 11G30, 11Y40. DOI: 10.4064/aa164-4-5
