Zawartość tomu 139
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A note on global units and local units of function fields Acta Arithmetica 139 (2009), 1-8 MSC: Primary 11R58; Secondary 11R60. DOI: 10.4064/aa139-1-1
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An algorithmic construction of cyclic $p$-extensions of fields, with characteristic different from $p$, not containing the $p$th roots of unity Acta Arithmetica 139 (2009), 9-16 MSC: 12F10, 11R20, 11R32, 11S20. DOI: 10.4064/aa139-1-2
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The Goldston–Pintz–Yıldırım sieve and maximal gaps Acta Arithmetica 139 (2009), 17-42 MSC: Primary 11N36; Secondary 11N25, 11N05. DOI: 10.4064/aa139-1-3
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$p$-adic polylogarithms and irrationality Acta Arithmetica 139 (2009), 43-55 MSC: 11J72, 11J61. DOI: 10.4064/aa139-1-4
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On the Diophantine equation $X^2-(2^{2m}+1)Y^4=-2^{2m}$ Acta Arithmetica 139 (2009), 57-63 MSC: 11D25, 11B39. DOI: 10.4064/aa139-1-5
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On a mixed problem in Diophantine approximation Acta Arithmetica 139 (2009), 65-77 MSC: Primary 11J04; Secondary 11J61, 11J68. DOI: 10.4064/aa139-1-6
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Indecomposable polynomials and their spectrum Acta Arithmetica 139 (2009), 79-100 MSC: 12E05, 11C08, 12Y05. DOI: 10.4064/aa139-1-7
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Function fields with 3-rank at least 2 Acta Arithmetica 139 (2009), 101-110 MSC: 11R29, 11R58. DOI: 10.4064/aa139-2-1
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On the group of circular units of any compositum of quadratic fields Acta Arithmetica 139 (2009), 111-115 MSC: Primary 11R29; Secondary 11R27. DOI: 10.4064/aa139-2-2
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A general discrepancy estimate based on $p$-adic arithmetics Acta Arithmetica 139 (2009), 117-129 MSC: 11K06, 11K38, 11K41, 11K45, 11L03. DOI: 10.4064/aa139-2-3
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Stability aspects of arithmetic functions, II Acta Arithmetica 139 (2009), 131-146 MSC: Primary 11K65, 39B82. DOI: 10.4064/aa139-2-4
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The Rhin–Viola method for $log 2$ Acta Arithmetica 139 (2009), 147-184 MSC: Primary 11J82. DOI: 10.4064/aa139-2-5
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Additive properties of a pair of sequences Acta Arithmetica 139 (2009), 185-197 MSC: Primary 11B34; Secondary 11P99. DOI: 10.4064/aa139-2-6
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Parabolic, hyperbolic and elliptic Poincaré series Acta Arithmetica 139 (2009), 199-228 MSC: 11F11, 11F30. DOI: 10.4064/aa139-3-1
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Billiards and the five distance theorem Acta Arithmetica 139 (2009), 229-239 MSC: 11J71, 11Z05, 11J04. DOI: 10.4064/aa139-3-2
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A construction of pseudorandom binary sequences using both additive and multiplicative characters Acta Arithmetica 139 (2009), 241-252 MSC: Primary 11K45. DOI: 10.4064/aa139-3-3
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On the distribution of the distances of multiples of an irrational number to the nearest integer Acta Arithmetica 139 (2009), 253-264 MSC: Primary 11K06; Secondary 11B83, 11J71. DOI: 10.4064/aa139-3-4
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A formula for the supersingular polynomial Acta Arithmetica 139 (2009), 265-273 MSC: Primary 11G20; Secondary 11G07. DOI: 10.4064/aa139-3-5
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Squares in Lehmer sequences and the Diophantine equation $Ax^4-By^2=2$ Acta Arithmetica 139 (2009), 275-302 MSC: 11D25, 11B39. DOI: 10.4064/aa139-3-6
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Higher order modular forms and mixed Hodge theory Acta Arithmetica 139 (2009), 321-340 MSC: 11F11, 14C30, 30F30, 32S35. DOI: 10.4064/aa139-4-2
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An arithmetical mapping and applications to $\mit\Omega $-results for the Riemann zeta function Acta Arithmetica 139 (2009), 341-367 MSC: 11N56, 11M06. DOI: 10.4064/aa139-4-3
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How many points contain arithmetic progressions in their continued fraction expansion? Acta Arithmetica 139 (2009), 369-376 MSC: 11A55, 11B25, 28A80. DOI: 10.4064/aa139-4-4
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Fonction de Tschakaloff et fonction $q$-exponentielle Acta Arithmetica 139 (2009), 377-393 MSC: Primary 11J72. DOI: 10.4064/aa139-4-5
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On the number of representations of integers as the sum of $k$ terms Acta Arithmetica 139 (2009), 395-406 MSC: Primary 11B34. DOI: 10.4064/aa139-4-6
