Zawartość tomu 155
ANDREAE BOBOLA MARIAE SCHINZEL
aetatis lustrum sextum decimum ingredienti
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Square-free values of $n^2+1$ Acta Arithmetica 155 (2012), 1-13 MSC: Primary 11N32; Secondary 11D45. DOI: 10.4064/aa155-1-1
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On the determination of the Plancherel measure for Lebedev–Whittaker transforms on $\mathop {GL}(n)$ Acta Arithmetica 155 (2012), 15-26 MSC: Primary 11F55, 22E30; Secondary 44A05, 33C15. DOI: 10.4064/aa155-1-2
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Schinzel's problem: Imprimitive covers and the monodromy method Acta Arithmetica 155 (2012), 27-40 MSC: Primary 141130, 20B15, 20C15, 30F10; Secondary 12D05, 12E30, 12F10, 20E22. DOI: 10.4064/aa155-1-3
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On additive decompositions of the set of quadratic residues modulo $p$ Acta Arithmetica 155 (2012), 41-51 MSC: Primary 11P70; Secondary 11B99. DOI: 10.4064/aa155-1-4
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Generalized Frobenius numbers: bounds and average behavior Acta Arithmetica 155 (2012), 53-62 MSC: 11D07, 11H06, 52C07, 11D45. DOI: 10.4064/aa155-1-5
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Zero-cycles and rational points on some surfaces over a global function field Acta Arithmetica 155 (2012), 63-70 MSC: Primary 14G25; Secondary 14G15, 14G05, 14C25, 11D25. DOI: 10.4064/aa155-1-6
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Improved discrepancy bounds for hybrid sequences involving Halton sequences Acta Arithmetica 155 (2012), 71-84 MSC: 11K38, 11K45, 65C05, 65C10. DOI: 10.4064/aa155-1-7
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On the Hausdorff dimension of the expressible set of certain sequences Acta Arithmetica 155 (2012), 85-90 MSC: Primary 11K55; Secondary 11J72. DOI: 10.4064/aa155-1-8
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A symmetric diophantine system concerning fifth powers Acta Arithmetica 155 (2012), 91-95 MSC: Primary 11D41. DOI: 10.4064/aa155-1-9
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On interaction of Hecke–Shimura rings: symplectic versus orthogonal Acta Arithmetica 155 (2012), 97-107 MSC: Primary 11F27, 11F46, 11F60, 20C08. DOI: 10.4064/aa155-1-10
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A set of squares without arithmetic progressions Acta Arithmetica 155 (2012), 109-115 MSC: Primary 11B50, 11B75, 11P70. DOI: 10.4064/aa155-1-11
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Familles d'équations de Thue–Mahler n'ayant que des solutions triviales Acta Arithmetica 155 (2012), 117-138 MSC: Primary 11D59; Secondary 11D45, 11D61, 11D25, 11J87. DOI: 10.4064/aa155-2-1
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Groupes de Galois résolubles et séries formelles Acta Arithmetica 155 (2012), 139-147 MSC: Primary 11S15; Secondary 11S20. DOI: 10.4064/aa155-2-2
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A polynomial investigation inspired by work of Schinzel and Sierpiński Acta Arithmetica 155 (2012), 149-161 MSC: Primary 11C08; Secondary 11A07, 11B25, 11R09. DOI: 10.4064/aa155-2-3
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Product-free sets with high density Acta Arithmetica 155 (2012), 163-173 MSC: Primary 11B05, 11B75. DOI: 10.4064/aa155-2-4
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On a conjecture of Pomerance Acta Arithmetica 155 (2012), 175-184 MSC: Primary 11N13. DOI: 10.4064/aa155-2-5
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Lower bounds for the conductor of $L$-functions Acta Arithmetica 155 (2012), 185-199 MSC: Primary 11M41. DOI: 10.4064/aa155-2-6
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Linear polynomials in numbers of bounded degree Acta Arithmetica 155 (2012), 201-205 MSC: Primary 11J68. DOI: 10.4064/aa155-2-7
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Linear recurrences as sums of squares Acta Arithmetica 155 (2012), 207-216 MSC: 11B37, 11E25. DOI: 10.4064/aa155-2-8
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On power values of pyramidal numbers, I Acta Arithmetica 155 (2012), 217-226 MSC: Primary 11D25, 11D99; Secondary 11Y50. DOI: 10.4064/aa155-2-9
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Number of solutions in a box of a linear homogeneous equation in an Abelian group Acta Arithmetica 155 (2012), 227-231 MSC: Primary 11D79; Secondary 20K01. DOI: 10.4064/aa155-2-10
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Elliptic Carmichael numbers and elliptic Korselt criteria Acta Arithmetica 155 (2012), 233-246 MSC: Primary 11G05; Secondary 11Y11. DOI: 10.4064/aa155-3-1
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On some new congruences for generalized Bernoulli numbers Acta Arithmetica 155 (2012), 247-258 MSC: Primary 11B68; Secondary 11R42, 11A07. DOI: 10.4064/aa155-3-2
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Effective results for restricted rational approximation to quadratic irrationals Acta Arithmetica 155 (2012), 259-269 MSC: Primary 11J68; Secondary 11A63, 11J86. DOI: 10.4064/aa155-3-3
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On Waring's problem for two cubes and two small cubes Acta Arithmetica 155 (2012), 271-285 MSC: Primary 11P55. DOI: 10.4064/aa155-3-4
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Mean value theorems for binary Egyptian fractions II Acta Arithmetica 155 (2012), 287-296 MSC: Primary 11D68; Secondary 11D45. DOI: 10.4064/aa155-3-5
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Linear independence of Hurwitz zeta values and a theorem of Baker–Birch–Wirsing over number fields Acta Arithmetica 155 (2012), 297-309 MSC: 11J86, 11M35, 11R18, 11R21, 11R32. DOI: 10.4064/aa155-3-6
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Small values of the Euler function and the Riemann hypothesis Acta Arithmetica 155 (2012), 311-321 MSC: 11N37, 11M26, 11N56. DOI: 10.4064/aa155-3-7
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Arf equivalence II Acta Arithmetica 155 (2012), 323-337 MSC: Primary 11E12; Secondary 19F15. DOI: 10.4064/aa155-3-8
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Spectral factorization of trigonometric polynomials and lattice geometry Acta Arithmetica 155 (2012), 339-347 MSC: Primary 11P21; Secondary 42B05. DOI: 10.4064/aa155-3-9
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On some number-theoretic sums introduced by Jacobsthal Acta Arithmetica 155 (2012), 349-351 MSC: Primary 11A25. DOI: 10.4064/aa155-4-1
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Small gaps between zeros of twisted L-functions Acta Arithmetica 155 (2012), 353-371 MSC: Primary 11M26. DOI: 10.4064/aa155-4-2
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Geometric properties of the zeta function Acta Arithmetica 155 (2012), 373-396 MSC: Primary 11M06; Secondary 11M26, 11M50. DOI: 10.4064/aa155-4-3
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The Bounded Gap Conjecture and bounds between consecutive Goldbach numbers Acta Arithmetica 155 (2012), 397-405 MSC: Primary 11N05; Secondary 11N35, 11P32. DOI: 10.4064/aa155-4-4
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Exceptional units and cyclic resultants Acta Arithmetica 155 (2012), 407-418 MSC: Primary 11R27; Secondary 11J68. DOI: 10.4064/aa155-4-5
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Baker's explicit $abc$-conjecture and applications Acta Arithmetica 155 (2012), 419-429 MSC: 11D41, 11D45, 11D61. DOI: 10.4064/aa155-4-6
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Primitive prime factors in second-order linear recurrence sequences Acta Arithmetica 155 (2012), 431-452 MSC: Primary 11B37; Secondary 11A05, 11D41. DOI: 10.4064/aa155-4-7
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On a question of Schinzel about the length and Mahler's measure of polynomials that have a zero on the unit circle Acta Arithmetica 155 (2012), 453-463 MSC: Primary 12D99; Secondary 26C99. DOI: 10.4064/aa155-4-8
