Zawartość tomu 144
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The Bouniakowsky conjecture and the density of polynomial roots to prime moduli Acta Arithmetica 144 (2010), 1-4 MSC: 11B05, 11C08, 11K06, 11N32. DOI: 10.4064/aa144-1-1
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Bounds on ternary cyclotomic coefficients Acta Arithmetica 144 (2010), 5-16 MSC: Primary 11B83. DOI: 10.4064/aa144-1-2
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Structure de torsion des courbes elliptiques sur les corps quadratiques Acta Arithmetica 144 (2010), 17-52 MSC: Primary 11G05; Secondary 14H52. DOI: 10.4064/aa144-1-3
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Sums of $L$-functions over rational function fields Acta Arithmetica 144 (2010), 53-68 MSC: Primary 11F66, 11F68, 11M41; Secondary 11F30, 20F55. DOI: 10.4064/aa144-1-4
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On the Diophantine equation $(x^2\pm C)(y^2\pm D)=z^4$ Acta Arithmetica 144 (2010), 69-95 MSC: 11D25, 11B39. DOI: 10.4064/aa144-1-5
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Une remarque sur les extensions pondérées de l'inégalité de Turán–Kubilius Acta Arithmetica 144 (2010), 97-103 MSC: Primary 11N25, 11N37, 11N60. DOI: 10.4064/aa144-1-6
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Parity indices of partitions Acta Arithmetica 144 (2010), 105-124 MSC: Primary 05A15, 05A17, 05A19; Secondary 11P81. DOI: 10.4064/aa144-2-1
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Squares in elliptic divisibility sequences Acta Arithmetica 144 (2010), 125-134 MSC: 11B37, 11B39, 11D09. DOI: 10.4064/aa144-2-2
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On the distribution of primitive Pythagorean triangles Acta Arithmetica 144 (2010), 135-150 MSC: Primary 11N37; Secondary 11L07. DOI: 10.4064/aa144-2-3
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On solutions of polynomial congruences Acta Arithmetica 144 (2010), 151-158 MSC: 11T06, 11L40, 11T24. DOI: 10.4064/aa144-2-4
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On multiple higher Mahler measures and multiple $L$ values Acta Arithmetica 144 (2010), 159-165 MSC: Primary 11M32; Secondary 11M06. DOI: 10.4064/aa144-2-5
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Diophantine approximation on affine hyperplanes Acta Arithmetica 144 (2010), 167-182 MSC: Primary 11J83; Secondary 11K60. DOI: 10.4064/aa144-2-6
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Characterization of the torsion of the Jacobian of $y^{2}=x^{5}+Ax$ and some applications Acta Arithmetica 144 (2010), 183-191 MSC: 11G05, 14G99. DOI: 10.4064/aa144-2-7
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$M_2$-rank differences for overpartitions Acta Arithmetica 144 (2010), 193-212 MSC: Primary 11P81; Secondary 05A17, 33D15, 11F11. DOI: 10.4064/aa144-2-8
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Explicit evaluations of quadruple Euler sums Acta Arithmetica 144 (2010), 213-230 MSC: Primary 40A25, 40B05; Secondary 11M99, 33E99. DOI: 10.4064/aa144-3-1
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Gauss's $_2F_1$ hypergeometric function and the congruent number elliptic curve Acta Arithmetica 144 (2010), 231-239 MSC: Primary 11F30, 11F11, 11F37, 14H52. DOI: 10.4064/aa144-3-2
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An explicit factorisation of the zeta functions of Dwork hypersurfaces Acta Arithmetica 144 (2010), 241-261 MSC: Primary 14G10; Secondary 11G25, 14G15. DOI: 10.4064/aa144-3-3
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Rank-Crank type PDE's for higher level Appell functions Acta Arithmetica 144 (2010), 263-273 MSC: 11F11, 11F27, 11F50. DOI: 10.4064/aa144-3-4
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On the odd part of tame kernels of biquadratic number fields Acta Arithmetica 144 (2010), 275-286 MSC: 11R70, 11R20, 19F99. DOI: 10.4064/aa144-3-5
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Iterated Cesàro averages, frequencies of digits, and Baire category Acta Arithmetica 144 (2010), 287-293 MSC: 11K16, 11A63, 28A78. DOI: 10.4064/aa144-3-6
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Measures of pseudorandomness of finite binary lattices, I. The measures $Q_k$, normality Acta Arithmetica 144 (2010), 295-313 MSC: Primary 11K45. DOI: 10.4064/aa144-3-7
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Solving an exponential Diophantine equation Acta Arithmetica 144 (2010), 315-322 MSC: Primary 11D72; Secondary 11A41. DOI: 10.4064/aa144-4-1
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On a problem of Pillai and its generalizations Acta Arithmetica 144 (2010), 323-347 MSC: Primary 11A05; Secondary 11Y16. DOI: 10.4064/aa144-4-2
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On the linear independence of the values of Gauss hypergeometric function Acta Arithmetica 144 (2010), 349-371 MSC: Primary 11J72; Secondary 11J61. DOI: 10.4064/aa144-4-3
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Ramification theory in non-abelian local class field theory Acta Arithmetica 144 (2010), 373-393 MSC: Primary 11S37. DOI: 10.4064/aa144-4-4
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On a short spectral sum involving inner products of a holomorphic cusp form and Maass forms Acta Arithmetica 144 (2010), 395-418 MSC: Primary 11F11, 11F12, 11F72. DOI: 10.4064/aa144-4-5