Zawartość tomu 114
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Uniform bounds for Fourier coefficients of theta-series with arithmetic applications Acta Arithmetica 114 (2004), 1-21 MSC: 11E25, 11F11, 11E20, 11N25. DOI: 10.4064/aa114-1-1
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Distinguishing Hecke eigenvalues of primitive cusp forms Acta Arithmetica 114 (2004), 23-34 MSC: 11F11, 11F12. DOI: 10.4064/aa114-1-2
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On higher-power moments of ${\mit\Delta }(x)$ (II) Acta Arithmetica 114 (2004), 35-54 MSC: 11N37, 11M06. DOI: 10.4064/aa114-1-3
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Four squares of primes and 165 powers of 2 Acta Arithmetica 114 (2004), 55-70 MSC: 11P32, 11P05, 11N36, 11P55. DOI: 10.4064/aa114-1-4
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Normal integral bases and ray class groups Acta Arithmetica 114 (2004), 71-85 MSC: Primary 11R33. DOI: 10.4064/aa114-1-5
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On the number of representations of a positive integer by a binary quadratic form Acta Arithmetica 114 (2004), 87-98 MSC: Primary 11E16, 11E25. DOI: 10.4064/aa114-1-6
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Ergodic and Diophantine properties of algorithms of Selmer type Acta Arithmetica 114 (2004), 99-111 MSC: 11K55, 11J13, 11J70, 28D05. DOI: 10.4064/aa114-2-1
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Action of Hecke operators on products of Igusa theta constants with rational characteristics Acta Arithmetica 114 (2004), 113-133 MSC: Primary 11F27, 11F46, 11F60, 11F66. DOI: 10.4064/aa114-2-2
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On the difference of the consecutive primitive roots Acta Arithmetica 114 (2004), 135-148 MSC: Primary 11L40. DOI: 10.4064/aa114-2-3
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Sur la proximité des nombres puissants Acta Arithmetica 114 (2004), 149-157 MSC: 11A51, 11J13. DOI: 10.4064/aa114-2-4
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The modular degree and the congruence number of a weight 2 cusp form Acta Arithmetica 114 (2004), 159-167 MSC: 11F33, 11F11, 11G18, 14K15. DOI: 10.4064/aa114-2-5
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Sur le spectre d'un polynôme à plusieurs variables Acta Arithmetica 114 (2004), 169-181 MSC: Primary 12D05, 12E25; Secondary 12E05, 11xxx. DOI: 10.4064/aa114-2-6
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A generalization of a third irreducibility theorem of I. Schur Acta Arithmetica 114 (2004), 183-197 MSC: 12E05, 11C08, 11R09. DOI: 10.4064/aa114-2-7
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More precise Pair Correlation Conjecture on the zeros of the Riemann zeta function Acta Arithmetica 114 (2004), 199-214 MSC: Primary 11M26. DOI: 10.4064/aa114-3-1
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Chen's double sieve, Goldbach's conjecture and the twin prime problem Acta Arithmetica 114 (2004), 215-273 MSC: 11P32, 11N35, 11N05. DOI: 10.4064/aa114-3-2
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A quantitative lower bound for the greatest prime factor of $(ab+1)(bc+1)(ca+1)$ Acta Arithmetica 114 (2004), 275-294 MSC: 11N32, 11D57. DOI: 10.4064/aa114-3-3
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On Karatsuba Conjecture and the Lindelöf Hypothesis Acta Arithmetica 114 (2004), 295-300 MSC: Primary 11M06. DOI: 10.4064/aa114-3-4
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Linear mod one transformations and the distribution of fractional parts $\{\xi (p/q)^n\} $ Acta Arithmetica 114 (2004), 301-311 MSC: 11K31, 26A18, 58F03. DOI: 10.4064/aa114-4-1
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A note on circular distributions Acta Arithmetica 114 (2004), 313-322 MSC: 11R27, 11R29. DOI: 10.4064/aa114-4-2
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The Erdős Theorem and the Halberstam Theorem in function fields Acta Arithmetica 114 (2004), 323-330 MSC: 11N60, 11R09. DOI: 10.4064/aa114-4-3
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Des obstructions globales à la descente des revêtements Acta Arithmetica 114 (2004), 331-348 MSC: 12Y05, 12F10, 11R37. DOI: 10.4064/aa114-4-4
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Hilbert symbols as maps of functors Acta Arithmetica 114 (2004), 349-368 MSC: 19F15, 11S25. DOI: 10.4064/aa114-4-5
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Generalization of two identities in Ramanujan's lost notebook Acta Arithmetica 114 (2004), 369-389 MSC: Primary 11B65; Secondary 33C20. DOI: 10.4064/aa114-4-6
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Ranks of quadratic twists of an elliptic curve Acta Arithmetica 114 (2004), 391-396 MSC: 11M, 11R. DOI: 10.4064/aa114-4-7
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Correction to “A note on the existence of certain infinite families of imaginary quadratic fields” (Acta Arith. 110 (2003), 37–43) Acta Arithmetica 114 (2004), 397-397 MSC: Primary 11R29; Secondary 11R11. DOI: 10.4064/aa114-4-8