Zawartość tomu 128
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Distributions and Euler systems in global function fields Acta Arithmetica 128 (2007), 1-17 MSC: Primary 11R58. DOI: 10.4064/aa128-1-1
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On the number of pairs of binary forms with given degree and given resultant Acta Arithmetica 128 (2007), 19-54 MSC: 11D57, 11D72. DOI: 10.4064/aa128-1-2
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On some special forms of simultaneous Pell equations Acta Arithmetica 128 (2007), 55-67 MSC: Primary 11D09, 11D25; Secondary 11B39, 11J13, 11J86. DOI: 10.4064/aa128-1-3
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Crible étrange et sommes de Kloosterman Acta Arithmetica 128 (2007), 69-100 MSC: Primary 11N36; Secondary 11L05, 11N35. DOI: 10.4064/aa128-1-4
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Ratios of congruent numbers Acta Arithmetica 128 (2007), 101-106 MSC: Primary 11G05; Secondary 14G05. DOI: 10.4064/aa128-2-1
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On a mixed Littlewood conjecture in Diophantine approximation Acta Arithmetica 128 (2007), 107-124 MSC: 11J04, 11J61. DOI: 10.4064/aa128-2-2
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Sequences with bounded l.c.m. of each pair of terms, III Acta Arithmetica 128 (2007), 125-133 MSC: 11B75, 11B83. DOI: 10.4064/aa128-2-3
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Linear equations with the Euler totient function Acta Arithmetica 128 (2007), 135-147 MSC: 11D04, 11D45, 11K65, 11L20, 11N35, 11N37. DOI: 10.4064/aa128-2-4
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Two Diophantine approaches to the irreducibility of certain trinomials Acta Arithmetica 128 (2007), 149-156 MSC: Primary 11R09; Secondary 11D41, 11R32. DOI: 10.4064/aa128-2-5
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The distribution of zeros of Epstein zeta functions over ${\rm GL}_{n}$ Acta Arithmetica 128 (2007), 157-166 MSC: Primary 11M41. DOI: 10.4064/aa128-2-6
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Heights of powers of Newman and Littlewood polynomials Acta Arithmetica 128 (2007), 167-176 MSC: 11C08, 30C10. DOI: 10.4064/aa128-2-7
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A new construction of $(t,s)$-sequences and some improved bounds on their quality parameter Acta Arithmetica 128 (2007), 177-191 MSC: 11K38, 11K45, 11R58. DOI: 10.4064/aa128-2-8
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Prime numbers of the form $p=m^2+n^2+1$ in short intervals Acta Arithmetica 128 (2007), 193-200 MSC: 11N05, 11N36. DOI: 10.4064/aa128-2-9
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On the arithmetic of genus two fibrations Acta Arithmetica 128 (2007), 201-207 MSC: 14D06, 14G10. DOI: 10.4064/aa128-3-1
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The Weil height in terms of an auxiliary polynomial Acta Arithmetica 128 (2007), 209-221 MSC: Primary 11R04, 11R09. DOI: 10.4064/aa128-3-2
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Representation of odd integers as the sum of one prime, two squares of primes and powers of 2 Acta Arithmetica 128 (2007), 223-233 MSC: 11P32, 11P05, 11P55, 11N36. DOI: 10.4064/aa128-3-3
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Functoriality and number of solutions of congruences Acta Arithmetica 128 (2007), 235-243 MSC: 11N37, 11F70. DOI: 10.4064/aa128-3-4
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Inverse zero-sum problems Acta Arithmetica 128 (2007), 245-279 MSC: 11P70, 11B50. DOI: 10.4064/aa128-3-5
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Solving Ramanujan's differential equations for Eisenstein series via a first order Riccati equation Acta Arithmetica 128 (2007), 281-294 MSC: Primary 11F11; Secondary 33C05. DOI: 10.4064/aa128-3-6
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Congruence and uniqueness of certain Markoff numbers Acta Arithmetica 128 (2007), 295-301 MSC: Primary 11D45; Secondary 11A07. DOI: 10.4064/aa128-3-7
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A $q$-analogue of Lehmer's congruence Acta Arithmetica 128 (2007), 303-318 MSC: Primary 11B65; Secondary 05A10, 05A30, 11A07. DOI: 10.4064/aa128-4-1
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Effective solution of the $D(-1)$-quadruple conjecture Acta Arithmetica 128 (2007), 319-338 MSC: Primary 11D09, 11D45; Secondary 11B37, 11J68. DOI: 10.4064/aa128-4-2
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Quartic diophantine chains Acta Arithmetica 128 (2007), 339-348 MSC: Primary 11D25. DOI: 10.4064/aa128-4-3
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The $D(1)$-extensions of $D(-1)$-triples $\{1,2,c\}$ and integer points on the attached elliptic curves Acta Arithmetica 128 (2007), 349-375 MSC: Primary 11D09, 11G05; Secondary 11B37, 11J68, 11J86, 11Y50. DOI: 10.4064/aa128-4-4
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Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood Acta Arithmetica 128 (2007), 377-384 MSC: Primary 41A17. DOI: 10.4064/aa128-4-5
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On the height of algebraic numbers with real conjugates Acta Arithmetica 128 (2007), 385-389 MSC: Primary 11R04. DOI: 10.4064/aa128-4-6
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Gauss's three squares theorem with almost prime variables Acta Arithmetica 128 (2007), 391-399 MSC: 11P32, 11P05, 11P55, 11N36. DOI: 10.4064/aa128-4-7