Zawartość tomu 130
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Hybrid mean value for a generalization of a problem of D. H. Lehmer Acta Arithmetica 130 (2007), 1-17 MSC: Primary 11L05. DOI: 10.4064/aa130-1-1
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An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field Acta Arithmetica 130 (2007), 19-35 MSC: Primary 11G25, 14G05; Secondary 11G20, 14M10. DOI: 10.4064/aa130-1-2
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Algebraic relations for reciprocal sums of Fibonacci numbers Acta Arithmetica 130 (2007), 37-60 MSC: Primary 11J81; Secondary 11J91, 33E05. DOI: 10.4064/aa130-1-3
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Some explicit constructions of sets with more sums than differences Acta Arithmetica 130 (2007), 61-77 MSC: Primary 11B75; Secondary 11K99. DOI: 10.4064/aa130-1-4
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Low-discrepancy sequences using duality and global function fields Acta Arithmetica 130 (2007), 79-97 MSC: 11K38, 11K45, 11R58. DOI: 10.4064/aa130-1-5
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Euler sums with Dirichlet characters Acta Arithmetica 130 (2007), 99-125 MSC: Primary 11M06; Secondary 11B68, 11M35. DOI: 10.4064/aa130-2-1
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A criterion for periodicity of multi-continued fraction expansion of multi-formal Laurent series Acta Arithmetica 130 (2007), 127-140 MSC: 11A55, 11B37, 11J70, 11T71. DOI: 10.4064/aa130-2-2
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Parameterized families of quadratic number fields with 3-rank at least 2 Acta Arithmetica 130 (2007), 141-147 MSC: Primary 11R11. DOI: 10.4064/aa130-2-3
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Representation functions, Sidon sets and bases Acta Arithmetica 130 (2007), 149-156 MSC: 11B13, 11B34, 11B75. DOI: 10.4064/aa130-2-4
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Some identities involving the Dirichlet $L$-function Acta Arithmetica 130 (2007), 157-166 MSC: Primary 11M06. DOI: 10.4064/aa130-2-5
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A family of pseudorandom binary sequences constructed by the multiplicative inverse Acta Arithmetica 130 (2007), 167-180 MSC: Primary 11K45. DOI: 10.4064/aa130-2-6
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On the arithmetic of certain modular curves Acta Arithmetica 130 (2007), 181-193 MSC: 11G18, 11G30. DOI: 10.4064/aa130-2-7
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On a class of equations with special degrees over finite fields Acta Arithmetica 130 (2007), 195-202 MSC: 11T06, 11T24, 11S99, 05A10. DOI: 10.4064/aa130-2-8
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A congruence involving the quotients of Euler and its applications (II) Acta Arithmetica 130 (2007), 203-214 MSC: 11A25, 11B65, 11B68. DOI: 10.4064/aa130-3-1
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The Ostrogradsky series and related Cantor-like sets Acta Arithmetica 130 (2007), 215-230 MSC: 11K55, 11K50. DOI: 10.4064/aa130-3-2
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Infinite sums as linear combinations of polygamma functions Acta Arithmetica 130 (2007), 231-254 MSC: Primary 11J81. DOI: 10.4064/aa130-3-3
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Representations of integers as sums of primes from a Beatty sequence Acta Arithmetica 130 (2007), 255-275 MSC: 11P32, 11B50. DOI: 10.4064/aa130-3-4
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Nineteen quaternary quadratic forms Acta Arithmetica 130 (2007), 277-310 MSC: 11E20, 11E25. DOI: 10.4064/aa130-3-5
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Products of an arbitrary number of Hecke eigenforms Acta Arithmetica 130 (2007), 311-319 MSC: Primary 11F11. DOI: 10.4064/aa130-4-1
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Minimal polynomials of some beta-numbers and Chebyshev polynomials Acta Arithmetica 130 (2007), 321-332 MSC: Primary 11R06, 11R09; Secondary 37B10, 68R15. DOI: 10.4064/aa130-4-2
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Generalised Mertens and Brauer–Siegel theorems Acta Arithmetica 130 (2007), 333-350 MSC: 11G25, 11M38, 11R42, 11R45. DOI: 10.4064/aa130-4-3
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Arithmetical applications of an identity for the Vandermonde determinant Acta Arithmetica 130 (2007), 351-359 MSC: Primary 11P21. DOI: 10.4064/aa130-4-4
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On the Siegel–Tatuzawa–Hoffstein theorem Acta Arithmetica 130 (2007), 361-367 MSC: Primary 11M20; Secondary 11Y35. DOI: 10.4064/aa130-4-5
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An improvement of an estimate for finite additive bases Acta Arithmetica 130 (2007), 369-380 MSC: Primary 11B34. DOI: 10.4064/aa130-4-6
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Sumsets without powerful numbers Acta Arithmetica 130 (2007), 381-387 MSC: 11A41, 11A99, 11B05, 11B99. DOI: 10.4064/aa130-4-7
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A characterization of rational numbers by $p$-adic Sylvester series expansions Acta Arithmetica 130 (2007), 389-402 MSC: 11A67, 11J61. DOI: 10.4064/aa130-4-8
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Poisson distribution for a sum of additive functions on shifted primes Acta Arithmetica 130 (2007), 403-414 MSC: Primary 11N37, 11N60. DOI: 10.4064/aa130-4-9