Online First articles
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The denominators of the Bernoulli numbers Acta Arithmetica MSC: Primary 11B05; Secondary 11B68, 11N25, 11N37, 11Y60. DOI: 10.4064/aa210601-16-11 Published online: 17 March 2022
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Forbidden conductors of $L$-functions and continued fractions of particular form Acta Arithmetica MSC: Primary 11M41; Secondary 11A55. DOI: 10.4064/aa220721-30-9 Published online: 26 October 2022
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Selberg’s sieve of irregular density Acta Arithmetica MSC: Primary 11M20; Secondary 11N13, 11N35. DOI: 10.4064/aa220719-5-10 Published online: 27 October 2022
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Large values of $n/\varphi (n)$ and $\sigma (n)/n$ Acta Arithmetica MSC: Primary 11N56; Secondary 11N37. DOI: 10.4064/aa220705-12-10 Published online: 19 December 2022
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Diophantine equations for Littlewood polynomials Acta Arithmetica MSC: Primary 11D41; Secondary 11R09. DOI: 10.4064/aa220912-3-11 Published online: 12 January 2023
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Additive decomposition of signed primes Acta Arithmetica MSC: Primary 11P32; Secondary 11N99. DOI: 10.4064/aa220429-17-11 Published online: 26 January 2023
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Another Waring–Goldbach problem Acta Arithmetica MSC: Primary 11P55; Secondary 11P32. DOI: 10.4064/aa220730-3-1 Published online: 1 February 2023
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Hermite equivalence of polynomials Acta Arithmetica MSC: Primary 11C08. DOI: 10.4064/aa211113-12-11 Published online: 28 February 2023
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Transcendence and continued fraction expansion of values of Hecke–Mahler series Acta Arithmetica MSC: Primary 11J04; Secondary 11J70, 11J81. DOI: 10.4064/aa220323-18-1 Published online: 28 February 2023
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The Thue–Morse continued fractions in characteristic 2 are algebraic Acta Arithmetica MSC: Primary 11J70; Secondary 11A55, 11B85, 11J61, 11T55. DOI: 10.4064/aa221212-5-1 Published online: 1 March 2023
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Solutions of certain meta-Fibonacci recurrences Acta Arithmetica MSC: Primary 11B37; Secondary 11B39, 11B83, 11B85. DOI: 10.4064/aa220613-19-1 Published online: 6 March 2023
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On prime factors of terms of binary recurrence sequences Acta Arithmetica MSC: Primary 11B37; Secondary 11J86. DOI: 10.4064/aa220601-7-3 Published online: 3 April 2023
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Small gaps and small spacings between zeta zeros Acta Arithmetica MSC: Primary 11M06; Secondary 11M26. DOI: 10.4064/aa220731-15-2 Published online: 24 April 2023
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On Ihara’s conjectures for Euler–Kronecker constants Acta Arithmetica MSC: Primary 11R42; Secondary 11M20, 11R44, 11N13, 11M36. DOI: 10.4064/aa220729-19-3 Published online: 4 May 2023
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Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces Acta Arithmetica MSC: Primary 11D45; Secondary 11G35, 11R44, 14G05. DOI: 10.4064/aa230105-10-3 Published online: 4 May 2023
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Dynamics of $\mathscr B$-free systems generated by Behrend sets. I Acta Arithmetica MSC: Primary 37B05; Secondary 37B10, 11N05, 11N25, 11N35. DOI: 10.4064/aa220525-14-2 Published online: 11 May 2023
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A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach problem and the Generalized Twin Prime Problem Acta Arithmetica MSC: Primary 11P32; Secondary 11P55. DOI: 10.4064/aa220728-31-3 Published online: 7 June 2023
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Number of integers represented by families of binary forms (I) Acta Arithmetica MSC: Primary 11E76; Secondary 11D45, 11D85. DOI: 10.4064/aa220606-16-2 Published online: 7 June 2023
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On reduction maps and arithmetic dynamics of Mordell–Weil type groups Acta Arithmetica MSC: Primary 37P15; Secondary 11G10. DOI: 10.4064/aa220801-17-5 Published online: 26 June 2023
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Ultra-short sums of trace functions Acta Arithmetica MSC: Primary 11T23; Secondary 11L15. DOI: 10.4064/aa230308-11-5 Published online: 29 June 2023
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On the factorization of lacunary polynomials Acta Arithmetica MSC: Primary 11R09; Secondary 11C08, 12E05, 57M50. DOI: 10.4064/aa220723-16-5 Published online: 5 July 2023
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On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions) Acta Arithmetica MSC: Primary 11N99; Secondary 11P70, 11P99. DOI: 10.4064/aa220805-13-6 Published online: 19 July 2023
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On sums of fractional parts Acta Arithmetica MSC: Primary 11K31; Secondary 37A99. DOI: 10.4064/aa230411-16-6 Published online: 20 July 2023
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Some remarks on the reduction map for Drinfeld modules Acta Arithmetica MSC: Primary 11G09; Secondary 14G05, 14G25, 11J93. DOI: 10.4064/aa220801-6-7 Published online: 28 July 2023
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Holomorphic Eisenstein series of rational weights and special values of Gamma function Acta Arithmetica MSC: Primary 11F30; Secondary 11F03, 11F11, 11F20, 33B15. DOI: 10.4064/aa221110-1-4 Published online: 23 August 2023
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The distribution of rational points on conics Acta Arithmetica MSC: Primary 11D45; Secondary 11D09, 11E08, 14G05. DOI: 10.4064/aa220325-2-8 Published online: 8 September 2023
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Hyperbolic summation for fractional sums Acta Arithmetica MSC: Primary 60G50; Secondary 11H06, 11N37. DOI: 10.4064/aa230331-31-7 Published online: 12 September 2023
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Solution to a problem of Luca, Menares and Pizarro-Madariaga Acta Arithmetica MSC: Primary 11N05; Secondary 11N36, 11N37. DOI: 10.4064/aa230604-12-7 Published online: 12 September 2023
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Orders with few rational monogenizations Acta Arithmetica MSC: Primary 11R99; Secondary 11D61, 11J87. DOI: 10.4064/aa230120-16-7 Published online: 12 September 2023
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Certain Diophantine equations and new parity results for 21-regular partitions Acta Arithmetica MSC: Primary 11D09; Secondary 11D45, 11P83. DOI: 10.4064/aa230203-5-7 Published online: 13 September 2023
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Rigidity in elliptic curve local-global principles Acta Arithmetica MSC: Primary 11G05; Secondary 11F80. DOI: 10.4064/aa230101-29-6 Published online: 18 September 2023
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The irreducibility of polynomials related to work of Heim, Luca and Neuhauser Acta Arithmetica MSC: Primary 11R09; Secondary 11B83, 11C08. DOI: 10.4064/aa230212-10-7 Published online: 25 September 2023
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The cubic Pell equation $L$-function Acta Arithmetica MSC: Primary 11F30; Secondary 11D25. DOI: 10.4064/aa220918-18-8 Published online: 28 September 2023
