Zawartość tomu 113
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Greenberg's conjecture and cyclotomic towers Acta Arithmetica 113 (2004), 1-14 MSC: Primary 11R23; Secondary 11R18, 11R32. DOI: 10.4064/aa113-1-1
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The rational points close to a curve III Acta Arithmetica 113 (2004), 15-30 MSC: 11J25, 11P21, 11K38. DOI: 10.4064/aa113-1-2
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Torsion points on curves and common divisors of $a^k-1$ and $b^k-1$ Acta Arithmetica 113 (2004), 31-38 MSC: Primary 11D61. DOI: 10.4064/aa113-1-3
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Arithmetic of certain hypergeometric modular forms Acta Arithmetica 113 (2004), 39-55 MSC: Primary 11F11, 33C45. DOI: 10.4064/aa113-1-4
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On Fourier coefficients of modular forms of different weights Acta Arithmetica 113 (2004), 57-67 MSC: Primary 11F33. DOI: 10.4064/aa113-1-5
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Note on J. H. E. Cohn's paper “The Diophantine equation $x^n=Dy^2+1$" Acta Arithmetica 113 (2004), 69-76 MSC: Primary 11D25, 11D41. DOI: 10.4064/aa113-1-6
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On the $p^{\lambda }$ problem Acta Arithmetica 113 (2004), 77-101 MSC: 11N05, 11J54. DOI: 10.4064/aa113-1-7
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Une généralisation du problème de Waring–Goldbach polynomial Acta Arithmetica 113 (2004), 103-130 MSC: 11P55, 11E25. DOI: 10.4064/aa113-2-1
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Quadratic forms with polynomial coefficients Acta Arithmetica 113 (2004), 131-155 MSC: 11T06, 11T55. DOI: 10.4064/aa113-2-2
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Maass operators and van der Pol-type identities for Ramanujan's tau function Acta Arithmetica 113 (2004), 157-167 MSC: Primary 11F30; Secondary 11F25. DOI: 10.4064/aa113-2-3
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Arithmetic Clifford's theorem for Hermitian vector bundles Acta Arithmetica 113 (2004), 169-174 MSC: 11R04, 14G40. DOI: 10.4064/aa113-2-4
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Upper bounds for the number of factors for a class of polynomials with rational coefficients Acta Arithmetica 113 (2004), 175-187 MSC: Primary 11C08. DOI: 10.4064/aa113-2-5
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On the symmetry of the divisor function in almost all short intervals Acta Arithmetica 113 (2004), 189-201 MSC: Primary 11N37; Secondary 11N36. DOI: 10.4064/aa113-2-6
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The structure of the tame kernels of quadratic number fields (I) Acta Arithmetica 113 (2004), 203-240 MSC: 11R11, 11R70, 19F15. DOI: 10.4064/aa113-3-1
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Fermat's equation for matrices or quaternions over $q$-adic fields Acta Arithmetica 113 (2004), 241-250 MSC: 11D41, 11S80. DOI: 10.4064/aa113-3-2
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Infinite 2-class field towers of some imaginary quadratic number fields Acta Arithmetica 113 (2004), 251-257 MSC: Primary 11R37; Secondary 11R11, 11R29. DOI: 10.4064/aa113-3-3
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Lattice points in a circle: An improved mean-square asymptotics Acta Arithmetica 113 (2004), 259-272 MSC: 11P21, 11N37, 11N25, 11N36. DOI: 10.4064/aa113-3-4
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Problème de Lehmer pour les hypersurfaces de variétés abéliennes de type C.M. Acta Arithmetica 113 (2004), 273-290 MSC: 11G50, 14G40, 14K12, 14K22. DOI: 10.4064/aa113-3-5
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On the torsion of elliptic curves over cubic number fields Acta Arithmetica 113 (2004), 291-301 MSC: Primary 11G05; Secondary 11G18. DOI: 10.4064/aa113-3-6
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The Diophantine equation $x(x+1)\dots(x+(m-1)) + r= y^n $ Acta Arithmetica 113 (2004), 303-308 MSC: Primary 11D61; Secondary 11B65. DOI: 10.4064/aa113-4-1
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Algebraic independence of elements from ${\Bbb C}_p$ over ${\Bbb Q}_p$, II Acta Arithmetica 113 (2004), 309-326 MSC: 11J85, 11J61. DOI: 10.4064/aa113-4-2
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Number of prime divisors in a product of consecutive integers Acta Arithmetica 113 (2004), 327-341 MSC: 11B25, 11N13. DOI: 10.4064/aa113-4-3
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Perfect powers in arithmetic progression. A note on the inhomogeneous case Acta Arithmetica 113 (2004), 343-349 MSC: Primary 11D41. DOI: 10.4064/aa113-4-4
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Diophantine equations $E({\bf x}) = P({\bf x})$ with $E$ exponential, $P$ polynomial Acta Arithmetica 113 (2004), 351-362 MSC: 11D61, 11D45. DOI: 10.4064/aa113-4-5
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On the number of equivalence classes of binary forms of given degree and given discriminant Acta Arithmetica 113 (2004), 363-399 MSC: 11D57, 11D72, 11E76. DOI: 10.4064/aa113-4-6
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On values of the Mahler measure in a quadratic field (solution of a problem of Dixon and Dubickas) Acta Arithmetica 113 (2004), 401-408 MSC: Primary 11R04. DOI: 10.4064/aa113-4-7
