Zawartość tomu 125
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On some equalities for the Weierstrass modular units of level $ p$ Acta Arithmetica 125 (2006), 1-10 MSC: Primary 11G15, 11G16. DOI: 10.4064/aa125-1-1
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New pseudorandom sequences constructed using multiplicative inverses Acta Arithmetica 125 (2006), 11-19 MSC: Primary 11K45. DOI: 10.4064/aa125-1-2
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Identities concerning Bernoulli and Euler polynomials Acta Arithmetica 125 (2006), 21-39 MSC: Primary 11B68; Secondary 05A19. DOI: 10.4064/aa125-1-3
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Lower bounds on the projective heights of algebraic points Acta Arithmetica 125 (2006), 41-50 MSC: Primary 11R04. DOI: 10.4064/aa125-1-4
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On pseudorandom binary lattices Acta Arithmetica 125 (2006), 51-62 MSC: Primary 11K45. DOI: 10.4064/aa125-1-5
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Absolute tensor products, Kummer's formula and functional equations for multiple Hurwitz zeta functions Acta Arithmetica 125 (2006), 63-78 MSC: 11M41, 11M35. DOI: 10.4064/aa125-1-6
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On the number of rational squares at fixed distance from a fifth power Acta Arithmetica 125 (2006), 79-88 MSC: Primary 11D41, 11D45, 11G30, 14G05, 14G25; Secondary 11G10, 14H25, 14H40. DOI: 10.4064/aa125-1-7
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On a problem of Erdős and Graham concerning digits Acta Arithmetica 125 (2006), 89-100 MSC: Primary 11B37; Secondary 11A63. DOI: 10.4064/aa125-1-8
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Principe de Hasse et rang pour des courbes de genre 2 à jacobienne simple Acta Arithmetica 125 (2006), 101-114 MSC: Primary 11G30; Secondary 11G10, 14H40. DOI: 10.4064/aa125-2-1
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Hausdorff dimension of real numbers with bounded digit averages Acta Arithmetica 125 (2006), 115-162 MSC: 11A55, 11K50, 11K55, 11A63, 37A45, 37E05, 37C30, 60F10. DOI: 10.4064/aa125-2-2
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A problem of Erdős–Szüsz–Turán on diophantine approximation Acta Arithmetica 125 (2006), 163-177 MSC: 11K60, 11J71, 11B57. DOI: 10.4064/aa125-2-3
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Primes with preassigned digits Acta Arithmetica 125 (2006), 179-185 MSC: Primary 11N05. DOI: 10.4064/aa125-2-4
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Bombieri–Vinogradov type theorems for sparse sets of moduli Acta Arithmetica 125 (2006), 187-201 MSC: 11B25, 11L20, 11L40, 11N05, 11N14, 11N32, 11N35, 11N36. DOI: 10.4064/aa125-2-5
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Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations Acta Arithmetica 125 (2006), 203-214 MSC: 11J61, 11J83, 11K60. DOI: 10.4064/aa125-3-1
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Non-abelian number fields with very large class numbers Acta Arithmetica 125 (2006), 215-255 MSC: Primary 11R29; Secondary 11M26, 11F12. DOI: 10.4064/aa125-3-2
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A functional relation for the Tornheim double zeta function Acta Arithmetica 125 (2006), 257-263 MSC: Primary 11M41. DOI: 10.4064/aa125-3-3
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Determinants of multiplicative Toeplitz matrices Acta Arithmetica 125 (2006), 265-284 MSC: Primary 11C20; Secondary 15A15, 15A23, 65F40. DOI: 10.4064/aa125-3-4
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Divisibility criteria for class numbers of imaginary quadratic fields Acta Arithmetica 125 (2006), 285-289 MSC: 11R29, 11F37. DOI: 10.4064/aa125-3-5
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Sums of arithmetic functions over values of binary forms Acta Arithmetica 125 (2006), 291-304 MSC: Primary 11N37; Secondary 11N32. DOI: 10.4064/aa125-3-6
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On the ergodicity of the Weyl sums cocycle Acta Arithmetica 125 (2006), 305-316 MSC: Primary 11L15, 37A45; Secondary 11K60, 37A20. DOI: 10.4064/aa125-4-1
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Difference independence of the Riemann zeta function Acta Arithmetica 125 (2006), 317-329 MSC: 11M06, 39A05, 30D35. DOI: 10.4064/aa125-4-2
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On the mean value of the index of composition of an integer Acta Arithmetica 125 (2006), 331-345 MSC: Primary 11N37. DOI: 10.4064/aa125-4-3
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A parametric family of sextic Thue equations Acta Arithmetica 125 (2006), 347-361 MSC: 11D41, 11J86, 11Y50. DOI: 10.4064/aa125-4-4
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Abelian $p$-class field towers over the cyclotomic $\mathbb {Z}_p$-extensions of imaginary quadratic fields Acta Arithmetica 125 (2006), 363-381 MSC: Primary 11R23; Secondary 11R11, 11R37. DOI: 10.4064/aa125-4-5
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Four prime squares and powers of 2 Acta Arithmetica 125 (2006), 383-391 MSC: 11P32, 11P05, 11P55, 11N36. DOI: 10.4064/aa125-4-6
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Steinitz classes of central simple algebras Acta Arithmetica 125 (2006), 393-406 MSC: Primary 16H05; Secondary 11R52, 16K20, 11R45. DOI: 10.4064/aa125-4-7