Broucke, Frederik; Hilberdink, Titus An omega-result for Beurling generalized integers. (English) Zbl 07835525 Acta Arith. 212, No. 4, 359-371 (2024). Reviewer: Tsz Ho Chan (Marietta) MSC: 11N80 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Kimmel, Noam The least common multiple of a bivariate quadratic sequence. (English) Zbl 07771583 Acta Arith. 211, No. 1, 25-60 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N32 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hilberdink, Titus W.; Kaziulytė, Laima \({\varOmega }\)-result for the remainder term in Beurling’s prime number theorem for well-behaved integers. (English) Zbl 1533.11172 Acta Arith. 208, No. 1, 69-81 (2023). Reviewer: Gregory Debruyne (Gent) MSC: 11N80 11N56 × Cite Format Result Cite Review PDF Full Text: DOI
Pritsker, Igor Heights of polynomials over lemniscates. (English) Zbl 1471.11263 Acta Arith. 198, No. 3, 219-231 (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 12D10 30C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Debruyne, Gregory; Maes, Frederick; Vindas, Jasson Halász’s theorem for Beurling generalized numbers. (English) Zbl 1462.11074 Acta Arith. 194, No. 1, 59-72 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 11N80 11N05 11N64 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhang, Wen-Bin Exact Wiener-Ikehara theorems. (English) Zbl 1441.11238 Acta Arith. 187, No. 4, 357-380 (2019). MSC: 11M45 40E05 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wen-Bin Halász’s theorem for Beurling numbers. (English) Zbl 1422.11202 Acta Arith. 183, No. 3, 223-235 (2018). MSC: 11N80 11N37 11N05 × Cite Format Result Cite Review PDF Full Text: DOI
Brink, David Nilakantha’s accelerated series for \(\pi \). (English) Zbl 1339.65004 Acta Arith. 171, No. 4, 293-308 (2015). MSC: 65B10 40A25 × Cite Format Result Cite Review PDF Full Text: DOI
Matthews, Keith R.; Robertson, John P.; Srinivasan, Anitha On fundamental solutions of binary quadratic form equations. (English) Zbl 1418.11050 Acta Arith. 169, No. 3, 291-299 (2015). MSC: 11D09 11D45 11A55 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
de la Bretèche, R. [Mestre, Jean-François] Greatest first prime factor of values of entire polynomials (with an appendix written with Jean-François Mestre). (Plus grand facteur premier de valeurs de polynômes aux entiers.) (French. English summary) Zbl 1379.11083 Acta Arith. 169, No. 3, 221-250 (2015). Reviewer: Olivier Ramaré (Lille) MSC: 11N32 11L07 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Hindes, Wade The arithmetic of curves defined by iteration. (English) Zbl 1330.14032 Acta Arith. 169, No. 1, 1-27 (2015). Reviewer: Yu Yasufuku (Tokyo) MSC: 14G05 37P05 12F10 37P15 11G30 11G05 14H45 20E08 37P55 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Al-Maamori, Faez; Hilberdink, Titus An example in Beurling’s theory of generalised primes. (English) Zbl 1337.11067 Acta Arith. 168, No. 4, 383-395 (2015). Reviewer: László Tóth (Pécs) MSC: 11N80 × Cite Format Result Cite Review PDF Full Text: DOI
Diamond, Harold G.; Zhang, Wen-Bin Optimality of Chebyshev bounds for Beurling generalized numbers. (English) Zbl 1315.11086 Acta Arith. 160, No. 3, 259-275 (2013). Reviewer: László Tóth (Pécs) MSC: 11N80 × Cite Format Result Cite Review PDF Full Text: DOI
Diamond, Harold G.; Zhang, Wen-Bin Chebyshev bounds for Beurling numbers. (English) Zbl 1309.11069 Acta Arith. 160, No. 2, 143-157 (2013). MSC: 11N80 × Cite Format Result Cite Review PDF Full Text: DOI
Ramaré, Olivier From explicit estimates for primes to explicit estimates for the Möbius function. (English) Zbl 1329.11107 Acta Arith. 157, No. 4, 365-379 (2013). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11Y35 11A25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Yang, Peng; Cai, Tianxin On the Diophantine equation \({n \choose k_1,\dots,k_s}=x^l\). (English) Zbl 1257.11031 Acta Arith. 151, No. 1, 7-9 (2012). Reviewer: András Bazsó (Debrecen) MSC: 11D41 11D99 × Cite Format Result Cite Review PDF Full Text: DOI
Kwon, Do Yong Minimal polynomials of some beta-numbers and Chebyshev polynomials. (English) Zbl 1172.11035 Acta Arith. 130, No. 4, 321-332 (2007). Reviewer: Chris Smyth (Edinburgh) MSC: 11R06 11R09 37B10 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Kaczorowski, Jerzy; Ramaré, Olivier Almost periodicity of some error terms in prime number theory. (English) Zbl 1146.11323 Acta Arith. 106, No. 3, 277-297 (2003). Reviewer: K. Soundararajan MSC: 11N05 11K70 42A75 × Cite Format Result Cite Review PDF Full Text: DOI
Ford, Kevin; Hudson, Richard H. Sign changes in \(\pi_{q,a}(x) - \pi_{q,b}(x)\). (English) Zbl 0986.11063 Acta Arith. 100, No. 4, 297-314 (2001). Reviewer: Peter Shiu (Loughborough) MSC: 11N13 11Y35 × Cite Format Result Cite Review PDF Full Text: DOI
Panaitopol, Laurenţiu Inequalities concerning the function \(\pi(x)\): Applications. (English) Zbl 0963.11050 Acta Arith. 94, No. 4, 373-381 (2000). Reviewer: Florian Luca (México) MSC: 11N05 11A41 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Bilu, Yuri F. Quadratic factors of \(f(x)-g(y)\). (English) Zbl 0935.12003 Acta Arith. 90, No. 4, 341-355 (1999). Reviewer: R.F.Tichy (Graz) MSC: 12E05 12E10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Garcia, Arnaldo; Stichtenoth, Henning On Chebyshev polynomials and maximal curves. (English) Zbl 0933.11032 Acta Arith. 90, No. 4, 301-311 (1999). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11G20 11R58 14H05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Cassou-Noguès, Pierrette; Couveignes, Jean-Marc Explicit factorizations of \(g(y)-h(z)\). (Factorisations explicites de \(g(y)-h(z)\).) (English) Zbl 0923.12004 Acta Arith. 87, No. 4, 291-317 (1999). Reviewer: Harvey Cohn (Bowie) MSC: 12F10 12Y05 12D05 14H30 05B10 12-04 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng Radicals and units in Ramanujan’s work. (English) Zbl 0919.11069 Acta Arith. 87, No. 2, 145-158 (1998). Reviewer: M.Sheingorn (New York) MSC: 11R27 33C45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Cohn, Henry Symmetry and specializability in continued fractions. (English) Zbl 0853.11005 Acta Arith. 75, No. 4, 297-320 (1996). Reviewer: G.Köhler (Würzburg) MSC: 11A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Hinz, Jürgen G. A generalization of a problem of Chebyshev. (English) Zbl 0856.11044 Acta Arith. 74, No. 3, 207-230 (1996). Reviewer: D.Wolke (Freiburg i.Br.) MSC: 11N32 11R47 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Dartyge, Cécile The largest prime factor of \(n^ 2+1\) where \(n\) is almost prime. (Le plus grand facteur premier de \(n^ 2+1\) où \(n\) est presque premier.) (French) Zbl 0848.11040 Acta Arith. 76, No. 3, 199-226 (1996). Reviewer: C.Dartyge (Nancy) MSC: 11N36 11N25 11N32 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Dartyge, C. Multiplicative properties of values of certain polynomials in two variables. (Propriétés multiplicatives des valeurs de certains polynômes en deux variables.) (French) Zbl 0869.11070 Acta Arith. 78, No. 1, 37-74 (1996). Reviewer: G.Greaves (Cardiff) MSC: 11N25 11N36 11N32 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Costa Pereira, N. Elementary estimate for the Chebyshev function \(\psi\) (x) and for the Möbius function M(x). (English) Zbl 0696.10007 Acta Arith. 52, No. 4, 307-337 (1989). Reviewer: H.J.J.te Riele MSC: 11A25 11N05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Lidl, Rudolf; Mullen, Gary L. Commuting polynomial vectors over an integral domain. (English) Zbl 0546.13013 Acta Arith. 46, 145-157 (1985). MSC: 13G05 33C45 13B25 13F20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Robin, Guy Estimate of the Chebyshev theta function on the \(k\)th prime number and large values of the number of prime divisors function \(\omega(n)\) of \(n\). (Estimation de la fonction de Tchebychef theta sur le \(k\)-ième nombre premier et grandes valeurs de la fonction \(\omega(n)\), nombre de diviseurs premiers de \(n\).) (French) Zbl 0475.10034 Acta Arith. 42, 367-389 (1983). MSC: 11N05 11N56 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Matthews, Rex Some generalizations of Chebyshev polynomials and their induced group structure over a finite field. (English) Zbl 0456.12010 Acta Arith. 41, 323-335 (1982). MSC: 11T06 11T30 20B05 20B25 33C45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Lidl, Rudolf; Müller, Winfried B. Über Permutationsgruppen, die durch Tschebyscheff-Polynome erzeugt werden. (German) Zbl 0347.12009 Acta Arith. 30, 19-25 (1976). MSC: 11T06 20B99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML