Zawartość tomu 148
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An analog of crank for a certain kind of partition function arising from the cubic continued fraction Acta Arithmetica 148 (2011), 1-19 MSC: Primary 11P83; Secondary 11F11. DOI: 10.4064/aa148-1-1
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On counterexamples to local-global divisibility in commutative algebraic groups Acta Arithmetica 148 (2011), 21-29 MSC: Primary 14H52; Secondary 11S25. DOI: 10.4064/aa148-1-2
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A Tauberian theorem for the Ingham summation method Acta Arithmetica 148 (2011), 31-54 MSC: Primary 11M45, 40G99; Secondary 11N37. DOI: 10.4064/aa148-1-3
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On the integers not of the form $p+2^a+2^b$ Acta Arithmetica 148 (2011), 55-61 MSC: Primary 11P32; Secondary 11A07, 11B05, 11B25, 11N36. DOI: 10.4064/aa148-1-4
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$p$-adic valuations of some sums of multinomial coefficients Acta Arithmetica 148 (2011), 63-76 MSC: Primary 11B65; Secondary 05A10, 11A07, 11S99. DOI: 10.4064/aa148-1-5
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Twisted exponential sums over points of elliptic curves Acta Arithmetica 148 (2011), 77-92 MSC: 11L07, 11T23, 14H52. DOI: 10.4064/aa148-1-6
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On the number of solutions of exponential congruences Acta Arithmetica 148 (2011), 93-103 MSC: Primary 11B50. DOI: 10.4064/aa148-1-7
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On the representation of $H$-invariants in the Selberg class Acta Arithmetica 148 (2011), 105-118 MSC: Primary 11M41. DOI: 10.4064/aa148-2-1
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On the index of sequences over cyclic groups Acta Arithmetica 148 (2011), 119-134 MSC: 11B30, 11B50, 20K01. DOI: 10.4064/aa148-2-2
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Construction of normal numbers with respect to the $Q$-Cantor series expansion for certain $Q$ Acta Arithmetica 148 (2011), 135-152 MSC: Primary 11K16; Secondary 11A63. DOI: 10.4064/aa148-2-3
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Averages of Euler products, distribution of singular series and the ubiquity of Poisson distribution Acta Arithmetica 148 (2011), 153-187 MSC: 11P32, 11N37, 11K65. DOI: 10.4064/aa148-2-4
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An effective Shafarevich theorem for elliptic curves Acta Arithmetica 148 (2011), 189-203 MSC: Primary 11G05, 11D25, 14H52; Secondary 14D20, 14G40. DOI: 10.4064/aa148-2-5
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Algebraic independence results for reciprocal sums of Fibonacci numbers Acta Arithmetica 148 (2011), 205-223 MSC: Primary 11J81; Secondary 11J91, 33E05, 11R04. DOI: 10.4064/aa148-3-1
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On the success and failure of Gram's Law and the Rosser Rule Acta Arithmetica 148 (2011), 225-256 MSC: Primary 11M06; Secondary 11M26. DOI: 10.4064/aa148-3-2
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Explicit descriptions of quadratic maps on $\mathbb{P}^1$ defined over a field $K$ Acta Arithmetica 148 (2011), 257-267 MSC: Primary 37P05, 37P45; Secondary 14G05. DOI: 10.4064/aa148-3-3
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Binary Kloosterman sums using Stickelberger's theorem and the Gross–Koblitz formula Acta Arithmetica 148 (2011), 269-279 MSC: Primary 11L05. DOI: 10.4064/aa148-3-4
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Minimal polynomials of algebraic numbers with rational parameters Acta Arithmetica 148 (2011), 281-308 MSC: Primary 11R06; Secondary 12E10. DOI: 10.4064/aa148-3-5
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Monomial dynamical systems of dimension one over finite fields Acta Arithmetica 148 (2011), 309-331 MSC: Primary 37P25; Secondary 37P05, 37P35. DOI: 10.4064/aa148-4-1
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Kakutani–von Neumann maps on simplexes Acta Arithmetica 148 (2011), 333-350 MSC: Primary 37A45; Secondary 11K31. DOI: 10.4064/aa148-4-2
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Polynômes à valeurs entières ainsi que leurs dérivées en caractéristique $p$ Acta Arithmetica 148 (2011), 351-365 MSC: Primary 13F20. DOI: 10.4064/aa148-4-3
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The sum of digits of $\lfloor n^c\rfloor$ Acta Arithmetica 148 (2011), 367-393 MSC: Primary 11A63, 11L07; Secondary 11N60, 60F05. DOI: 10.4064/aa148-4-4
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Two conjectures on an addition theorem Acta Arithmetica 148 (2011), 395-411 MSC: Primary 11B50; Secondary 11B75. DOI: 10.4064/aa148-4-5