Ewald, William (ed.); Hallett, Michael (ed.); Majer, Ulrich (ed.); Sieg, Wilfried (ed.) David Hilbert’s lectures on the foundations of arithmetic and logic 1894–1917 (to appear). (English) Zbl 06750649 Berlin: Springer (ISBN 978-3-540-20605-7/hbk). 690 p. (2023). MSC: 01A75 03-03 11-03 11A55 01A60 PDF BibTeX XML Cite \textit{W. Ewald} (ed.) et al., David Hilbert's lectures on the foundations of arithmetic and logic 1894--1917 (to appear). Berlin: Springer (2023; Zbl 06750649) OpenURL
Schweiger, Fritz Remarks on continued fractions with finitely many digits. (English) Zbl 07547458 Acta Arith. 203, No. 3, 239-250 (2022). MSC: 11A63 11K55 28D05 37A44 PDF BibTeX XML Cite \textit{F. Schweiger}, Acta Arith. 203, No. 3, 239--250 (2022; Zbl 07547458) Full Text: DOI OpenURL
Cohen, Stephen D.; Kapetanakis, Giorgos; Reis, Lucas The existence of \(\mathbb{F}_q\)-primitive points on curves using freeness. (English) Zbl 07547263 C. R., Math., Acad. Sci. Paris 360, 641-652 (2022). MSC: 11T30 11A07 11T23 PDF BibTeX XML Cite \textit{S. D. Cohen} et al., C. R., Math., Acad. Sci. Paris 360, 641--652 (2022; Zbl 07547263) Full Text: DOI OpenURL
Alzer, Horst; Kwong, Man Kam Inequalities for Taylor series involving the divisor function. (English) Zbl 07547207 Czech. Math. J. 72, No. 2, 331-348 (2022). MSC: 11A25 26D15 33D05 PDF BibTeX XML Cite \textit{H. Alzer} and \textit{M. K. Kwong}, Czech. Math. J. 72, No. 2, 331--348 (2022; Zbl 07547207) Full Text: DOI OpenURL
Karama, Muneer Jebreel; Qudaimat, Ali Jum’a Generating primitive triples using a matrix upon Pythagorean triples. (English) Zbl 07546721 Palest. J. Math. 11, No. 1, 57-65 (2022). MSC: 11A41 11C99 PDF BibTeX XML Cite \textit{M. J. Karama} and \textit{A. J. Qudaimat}, Palest. J. Math. 11, No. 1, 57--65 (2022; Zbl 07546721) Full Text: Link OpenURL
Abubakar, Saidu Isah; Shehu, Sadiq Exploiting the security of \(N= p^r q^s\) through approximation of \(\varphi(N)\). (English) Zbl 07545475 Discrete Math. Algorithms Appl. 14, No. 4, Article ID 2150144, 19 p. (2022). MSC: 94A60 11Y16 11J13 11A55 PDF BibTeX XML Cite \textit{S. I. Abubakar} and \textit{S. Shehu}, Discrete Math. Algorithms Appl. 14, No. 4, Article ID 2150144, 19 p. (2022; Zbl 07545475) Full Text: DOI OpenURL
Miska, Piotr Binomial coefficients, roots of unity and powers of prime numbers. (English) Zbl 07544758 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1489-1506 (2022). MSC: 11A07 11A41 11B65 PDF BibTeX XML Cite \textit{P. Miska}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1489--1506 (2022; Zbl 07544758) Full Text: DOI OpenURL
Giannitsi, Christina; Lacey, Michael T.; Mousavi, Hamed; Rahimi, Yaghoub Improving and maximal inequalities for primes in progressions. (English) Zbl 07544743 Banach J. Math. Anal. 16, No. 3, Paper No. 42, 25 p. (2022). MSC: 11A41 42B25 PDF BibTeX XML Cite \textit{C. Giannitsi} et al., Banach J. Math. Anal. 16, No. 3, Paper No. 42, 25 p. (2022; Zbl 07544743) Full Text: DOI OpenURL
Ferreira, Débora; Schubring, Gert “Complex numbers” and the problem of multiplication between quantities. (English. French summary) Zbl 07544290 Hist. Math. 59, 119-145 (2022). MSC: 01A50 01A55 01A60 08A02 11-03 11A05 97F70 PDF BibTeX XML Cite \textit{D. Ferreira} and \textit{G. Schubring}, Hist. Math. 59, 119--145 (2022; Zbl 07544290) Full Text: DOI OpenURL
Carminati, Carlo; Tiozzo, Giulio The bifurcation locus for numbers of bounded type. (English) Zbl 07543362 Ergodic Theory Dyn. Syst. 42, No. 7, 2239-2269 (2022). MSC: 11A55 37C45 37E05 11J06 PDF BibTeX XML Cite \textit{C. Carminati} and \textit{G. Tiozzo}, Ergodic Theory Dyn. Syst. 42, No. 7, 2239--2269 (2022; Zbl 07543362) Full Text: DOI OpenURL
Chern, Shane On a congruence involving harmonic series and Bernoulli numbers. (English) Zbl 07543094 Int. J. Number Theory 18, No. 8, 1691-1712 (2022). MSC: 11A07 11A41 PDF BibTeX XML Cite \textit{S. Chern}, Int. J. Number Theory 18, No. 8, 1691--1712 (2022; Zbl 07543094) Full Text: DOI OpenURL
Labihi, O.; Raouj, A. Short sums of multiplicative functions. (Sommes courtes de certaines fonctions multiplicatives.) (French. English summary) Zbl 07543092 Int. J. Number Theory 18, No. 8, 1651-1668 (2022). MSC: 11A25 11N05 11N56 11C08 11N64 PDF BibTeX XML Cite \textit{O. Labihi} and \textit{A. Raouj}, Int. J. Number Theory 18, No. 8, 1651--1668 (2022; Zbl 07543092) Full Text: DOI OpenURL
Delaygue, É.; Rivoal, T. On primary pseudo-polynomials (around Ruzsa’s conjecture). (English) Zbl 07543090 Int. J. Number Theory 18, No. 7, 1613-1636 (2022). MSC: 11A41 11B50 11B37 33E20 41A05 PDF BibTeX XML Cite \textit{É. Delaygue} and \textit{T. Rivoal}, Int. J. Number Theory 18, No. 7, 1613--1636 (2022; Zbl 07543090) Full Text: DOI OpenURL
Fang, Jian-Ping; Guo, Victor J. W. Some \(q\)-supercongruences related to Swisher’s (H.3) conjecture. (English) Zbl 07543080 Int. J. Number Theory 18, No. 7, 1417-1427 (2022). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{J.-P. Fang} and \textit{V. J. W. Guo}, Int. J. Number Theory 18, No. 7, 1417--1427 (2022; Zbl 07543080) Full Text: DOI OpenURL
Zhu, Guangyan On the divisibility among power GCD and power LCM matrices on gcd-closed sets. (English) Zbl 07543078 Int. J. Number Theory 18, No. 7, 1397-1408 (2022). MSC: 11C20 11A05 15B36 PDF BibTeX XML Cite \textit{G. Zhu}, Int. J. Number Theory 18, No. 7, 1397--1408 (2022; Zbl 07543078) Full Text: DOI OpenURL
Nathanson, Melvyn B. Convergent series of integers with missing digits. (English) Zbl 07543029 Ramanujan J. 58, No. 2, 667-676 (2022). MSC: 11A63 11B05 11B75 11K16 PDF BibTeX XML Cite \textit{M. B. Nathanson}, Ramanujan J. 58, No. 2, 667--676 (2022; Zbl 07543029) Full Text: DOI OpenURL
Ma, Wu-Xia; Chen, Yong-Gao Congruences for arithmetic functions. (English) Zbl 07543028 Ramanujan J. 58, No. 2, 651-666 (2022). MSC: 11A25 11A07 11P83 PDF BibTeX XML Cite \textit{W.-X. Ma} and \textit{Y.-G. Chen}, Ramanujan J. 58, No. 2, 651--666 (2022; Zbl 07543028) Full Text: DOI OpenURL
Ponomarenko, Vadim Factorization of perplex integers. (English) Zbl 07542942 Am. Math. Mon. 129, No. 6, 576-581 (2022). MSC: 11A51 PDF BibTeX XML Cite \textit{V. Ponomarenko}, Am. Math. Mon. 129, No. 6, 576--581 (2022; Zbl 07542942) Full Text: DOI OpenURL
Rossi, Lucía; Thuswaldner, Jörg M. A number system with base \(- \frac{3}{2}\). (English) Zbl 07542939 Am. Math. Mon. 129, No. 6, 539-553 (2022). MSC: 11A63 28A80 PDF BibTeX XML Cite \textit{L. Rossi} and \textit{J. M. Thuswaldner}, Am. Math. Mon. 129, No. 6, 539--553 (2022; Zbl 07542939) Full Text: DOI OpenURL
Ramesh, V. P.; Makeshwari, M. A prime primitive root \(p\) of \(2p + 1\) is a Sophie Germain prime. (English) Zbl 07542938 Am. Math. Mon. 129, No. 6, 538 (2022). MSC: 11A41 11A07 PDF BibTeX XML Cite \textit{V. P. Ramesh} and \textit{M. Makeshwari}, Am. Math. Mon. 129, No. 6, 538 (2022; Zbl 07542938) Full Text: DOI OpenURL
Kaneko, Hajime; Stoll, Thomas Products of integers with few nonzero digits. (English) Zbl 07542605 Unif. Distrib. Theory 17, No. 1, 11-28 (2022). MSC: 11A63 11B83 PDF BibTeX XML Cite \textit{H. Kaneko} and \textit{T. Stoll}, Unif. Distrib. Theory 17, No. 1, 11--28 (2022; Zbl 07542605) Full Text: DOI OpenURL
Garaev, Moubariz Z.; García, Victor C. On the number of representations by \(n\)! Modulo a prime and applications. (English) Zbl 07541973 Monatsh. Math. 198, No. 3, 535-545 (2022). MSC: 11A07 11B65 11L40 PDF BibTeX XML Cite \textit{M. Z. Garaev} and \textit{V. C. García}, Monatsh. Math. 198, No. 3, 535--545 (2022; Zbl 07541973) Full Text: DOI OpenURL
Makhul, Mehdi; Winterhof, Arne Normality of the Thue-Morse function for finite fields along polynomial values. (English) Zbl 07541957 Res. Number Theory 8, No. 3, Paper No. 38, 17 p. (2022). MSC: 11A63 11T06 11T23 11L99 11-XX PDF BibTeX XML Cite \textit{M. Makhul} and \textit{A. Winterhof}, Res. Number Theory 8, No. 3, Paper No. 38, 17 p. (2022; Zbl 07541957) Full Text: DOI OpenURL
Ren, Xin On radiuses of convergence of \(q\)-metallic numbers and related \(q\)-rational numbers. (English) Zbl 07541956 Res. Number Theory 8, No. 3, Paper No. 37, 14 p. (2022). MSC: 05A30 11A55 30C15 PDF BibTeX XML Cite \textit{X. Ren}, Res. Number Theory 8, No. 3, Paper No. 37, 14 p. (2022; Zbl 07541956) Full Text: DOI OpenURL
Hakuta, Keisuke; Ochiai, Hiroyuki; Takagi, Tsuyoshi Comments on efficient batch verification test for digital signatures based on elliptic curves. (English) Zbl 07541628 Math. Slovaca 72, No. 3, 575-590 (2022). MSC: 11G20 11T71 11A63 14G50 94A60 PDF BibTeX XML Cite \textit{K. Hakuta} et al., Math. Slovaca 72, No. 3, 575--590 (2022; Zbl 07541628) Full Text: DOI OpenURL
Feng, Yulu; Qiu, Min; Zhu, Guangyan; Hong, Shaofang Divisibility among power matrices associated with classes of arithmetic functions. (English) Zbl 07541598 Discrete Math. 345, No. 10, Article ID 112993, 11 p. (2022). MSC: 11Cxx 15Bxx 11Axx PDF BibTeX XML Cite \textit{Y. Feng} et al., Discrete Math. 345, No. 10, Article ID 112993, 11 p. (2022; Zbl 07541598) Full Text: DOI OpenURL
Craig, William; Merca, Mircea On Ramanujan-type congruences for multiplicative functions. (English) Zbl 07541288 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 128, 10 p. (2022). MSC: 11A25 11P83 PDF BibTeX XML Cite \textit{W. Craig} and \textit{M. Merca}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 128, 10 p. (2022; Zbl 07541288) Full Text: DOI OpenURL
Komatsu, Takao; Ramírez, José; Sirvent, Víctor Some combinatorial identities involving \(q\)-harmonic numbers and generalized \(q\)-harmonic numbers. (English) Zbl 07541091 J. Nonlinear Convex Anal. 23, No. 5, 847-858 (2022). MSC: 11B83 11B65 11A55 11J70 30B70 PDF BibTeX XML Cite \textit{T. Komatsu} et al., J. Nonlinear Convex Anal. 23, No. 5, 847--858 (2022; Zbl 07541091) Full Text: Link OpenURL
Booker, Andrew R.; Hathi, Shehzad; Mossinghoff, Michael J.; Trudgian, Timothy S. Wolstenholme and Vandiver primes. (English) Zbl 07540791 Ramanujan J. 58, No. 3, 913-941 (2022). MSC: 11B68 11Y40 11A41 11B65 PDF BibTeX XML Cite \textit{A. R. Booker} et al., Ramanujan J. 58, No. 3, 913--941 (2022; Zbl 07540791) Full Text: DOI OpenURL
Aloui, Karam On the correlation of the Thue-Morse sequence. (English) Zbl 07540784 Ramanujan J. 58, No. 3, 771-799 (2022). MSC: 11A63 11B85 11L03 11L07 11N25 PDF BibTeX XML Cite \textit{K. Aloui}, Ramanujan J. 58, No. 3, 771--799 (2022; Zbl 07540784) Full Text: DOI OpenURL
Wei, Chuanan \(q\)-supercongruences from gasper and Rahman’s summation formula. (English) Zbl 07540636 Adv. Appl. Math. 139, Article ID 102376, 17 p. (2022). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{C. Wei}, Adv. Appl. Math. 139, Article ID 102376, 17 p. (2022; Zbl 07540636) Full Text: DOI OpenURL
Karpenkov, Oleg N. Geometry of continued fractions. 2nd edition. (English) Zbl 07539246 Algorithms and Computation in Mathematics 26. Berlin: Springer (ISBN 978-3-662-65276-3/hbk; 978-3-662-65277-0/ebook). xx, 451 p. (2022). MSC: 11-02 11J70 11A55 11H55 11K50 30B70 40A15 PDF BibTeX XML Cite \textit{O. N. Karpenkov}, Geometry of continued fractions. 2nd edition. Berlin: Springer (2022; Zbl 07539246) Full Text: DOI OpenURL
Davis, Simon Primes of the form \(2p+1\). (English) Zbl 07539106 J. Discrete Math. Sci. Cryptography 25, No. 2, 311-324 (2022). MSC: 11B25 11A41 11N05 11N13 PDF BibTeX XML Cite \textit{S. Davis}, J. Discrete Math. Sci. Cryptography 25, No. 2, 311--324 (2022; Zbl 07539106) Full Text: DOI OpenURL
Athukorala, Pabasara; Chathurangi, Madusha; Ranasinghe, Rajitha A variant of RSA using continued fractions. (English) Zbl 07539091 J. Discrete Math. Sci. Cryptography 25, No. 1, 127-134 (2022). MSC: 11Z05 11A07 11T71 94A60 PDF BibTeX XML Cite \textit{P. Athukorala} et al., J. Discrete Math. Sci. Cryptography 25, No. 1, 127--134 (2022; Zbl 07539091) Full Text: DOI OpenURL
Elia, Michele; Carmelo Interlando, J. On fiber characters of \(\mathbb{F}^{\ast}_{p^m}\) and related polynomial algebras. (English) Zbl 07539088 J. Discrete Math. Sci. Cryptography 25, No. 1, 83-95 (2022). MSC: 11A15 11N69 11T22 12E20 13F20 PDF BibTeX XML Cite \textit{M. Elia} and \textit{J. Carmelo Interlando}, J. Discrete Math. Sci. Cryptography 25, No. 1, 83--95 (2022; Zbl 07539088) Full Text: DOI OpenURL
Aidagulov, R. R.; Glavatsky, S. T.; Mikhalev, A. V. Clustering models. (English. Russian original) Zbl 07538674 J. Math. Sci., New York 262, No. 5, 603-616 (2022); translation from Fundam. Prikl. Mat. 23, No. 2, 17-36 (2020). MSC: 11Yxx 82Bxx 11Axx PDF BibTeX XML Cite \textit{R. R. Aidagulov} et al., J. Math. Sci., New York 262, No. 5, 603--616 (2022; Zbl 07538674); translation from Fundam. Prikl. Mat. 23, No. 2, 17--36 (2020) Full Text: DOI OpenURL
Nath, Ayan; Jha, Abhishek On the least common multiple of polynomial sequences at prime arguments. (English) Zbl 07538664 Int. J. Number Theory 18, No. 6, 1227-1237 (2022). MSC: 11N32 11A41 PDF BibTeX XML Cite \textit{A. Nath} and \textit{A. Jha}, Int. J. Number Theory 18, No. 6, 1227--1237 (2022; Zbl 07538664) Full Text: DOI OpenURL
Pollack, Paul; Roy, Akash Singha Dirichlet, Sierpiński, and Benford. (English) Zbl 07538069 J. Number Theory 239, 352-364 (2022). MSC: 11A63 11M06 11N05 PDF BibTeX XML Cite \textit{P. Pollack} and \textit{A. S. Roy}, J. Number Theory 239, 352--364 (2022; Zbl 07538069) Full Text: DOI OpenURL
Zheng, Zhiyong; Chen, Man; Xu, Jie On Gauss sums over Dedekind domains. (English) Zbl 07537781 Int. J. Number Theory 18, No. 5, 1047-1063 (2022). MSC: 11R04 11A25 11T55 PDF BibTeX XML Cite \textit{Z. Zheng} et al., Int. J. Number Theory 18, No. 5, 1047--1063 (2022; Zbl 07537781) Full Text: DOI OpenURL
Amri, Myriam; Spiegelhofer, Lukas; Thuswaldner, Jörg Joint distribution in residue classes of the sum of digits for two Ostrowski representations. (Répartition jointe dans les classes De résidus de la somme des chiffres pour deux représentations d’Ostrowski.) (French. English summary) Zbl 07537777 Int. J. Number Theory 18, No. 5, 955-976 (2022). MSC: 11A67 11J71 PDF BibTeX XML Cite \textit{M. Amri} et al., Int. J. Number Theory 18, No. 5, 955--976 (2022; Zbl 07537777) Full Text: DOI OpenURL
Zheng, Lixuan; Wu, Min Run-length function for real numbers in \(\beta\)-expansions. (English) Zbl 07537350 Fractals 30, No. 3, Article ID 2250033, 12 p. (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11A63 28A80 PDF BibTeX XML Cite \textit{L. Zheng} and \textit{M. Wu}, Fractals 30, No. 3, Article ID 2250033, 12 p. (2022; Zbl 07537350) Full Text: DOI OpenURL
Duggaraju, Radha Madhavi; Mazumdar, Lipika Module basis for generalized spline modules. (English) Zbl 07537299 J. Indian Math. Soc., New Ser. 89, No. 1-2, 32-43 (2022). MSC: 11A41 13C10 13F10 05C60 05C78 05C85 PDF BibTeX XML Cite \textit{R. M. Duggaraju} and \textit{L. Mazumdar}, J. Indian Math. Soc., New Ser. 89, No. 1--2, 32--43 (2022; Zbl 07537299) Full Text: DOI OpenURL
Everlove, Corey Dirichlet series associated to sum-of-digits functions. (English) Zbl 07536470 Int. J. Number Theory 18, No. 4, 777-798 (2022). MSC: 11A63 11M41 30B50 PDF BibTeX XML Cite \textit{C. Everlove}, Int. J. Number Theory 18, No. 4, 777--798 (2022; Zbl 07536470) Full Text: DOI OpenURL
Aloff, Simon A family of infinite series taking integer values. (English) Zbl 07534643 Missouri J. Math. Sci. 34, No. 1, 1-18 (2022). MSC: 11A99 11M35 PDF BibTeX XML Cite \textit{S. Aloff}, Missouri J. Math. Sci. 34, No. 1, 1--18 (2022; Zbl 07534643) Full Text: DOI OpenURL
Shen, Zhao The subword complexity of polynomial subsequences of the Thue-Morse sequence. (La complexité de facteurs des sous-suites polynomiales de la suite de Thue-Morse.) (English. French summary) Zbl 07534574 C. R., Math., Acad. Sci. Paris 360, 503-511 (2022). MSC: 11Bxx 11Nxx 11Axx PDF BibTeX XML Cite \textit{Z. Shen}, C. R., Math., Acad. Sci. Paris 360, 503--511 (2022; Zbl 07534574) Full Text: DOI OpenURL
Nyblom, Michael A closed form for representing integers as sums and differences of cubes. (English) Zbl 07534347 J. Integer Seq. 25, No. 4, Article 22.4.4, 9 p. (2022). MSC: 11A15 PDF BibTeX XML Cite \textit{M. Nyblom}, J. Integer Seq. 25, No. 4, Article 22.4.4, 9 p. (2022; Zbl 07534347) Full Text: Link OpenURL
Klaška, Jiří A simple proof of Skula’s theorem on prime power divisors of Mersenne numbers. (English) Zbl 07534346 J. Integer Seq. 25, No. 4, Article 22.4.3, 5 p. (2022). MSC: 11A41 11A07 PDF BibTeX XML Cite \textit{J. Klaška}, J. Integer Seq. 25, No. 4, Article 22.4.3, 5 p. (2022; Zbl 07534346) Full Text: Link OpenURL
Saye, Robert I. On two conjectures concerning the ternary digits of powers of two. (English) Zbl 07534321 J. Integer Seq. 25, No. 3, Article 22.3.4, 9 p. (2022). MSC: 11A63 11Y55 11D61 11Y50 PDF BibTeX XML Cite \textit{R. I. Saye}, J. Integer Seq. 25, No. 3, Article 22.3.4, 9 p. (2022; Zbl 07534321) Full Text: Link OpenURL
Fatehizadeh, Amirali; Yaqubi, Daniel Average of the Fibonacci numbers. (English) Zbl 07534315 J. Integer Seq. 25, No. 2, Article 22.2.6, 10 p. (2022). MSC: 11B39 11B50 11A07 PDF BibTeX XML Cite \textit{A. Fatehizadeh} and \textit{D. Yaqubi}, J. Integer Seq. 25, No. 2, Article 22.2.6, 10 p. (2022; Zbl 07534315) Full Text: Link OpenURL
Hernández, Fernanda D. de Melo; Melo, César A. Hernández; Tapia-Recillas, Horacio Fermat’s little theorem and Euler’s theorem in a class of rings. (English) Zbl 07534138 Commun. Algebra 50, No. 7, 3064-3078 (2022). MSC: 11A25 11T99 PDF BibTeX XML Cite \textit{F. D. de M. Hernández} et al., Commun. Algebra 50, No. 7, 3064--3078 (2022; Zbl 07534138) Full Text: DOI OpenURL
Harrington, Joshua; Sun, Yewen; Wong, Tony W. H. Covering systems with odd moduli. (English) Zbl 07533031 Discrete Math. 345, No. 8, Article ID 112936, 12 p. (2022). MSC: 11Axx 11Bxx 11Rxx PDF BibTeX XML Cite \textit{J. Harrington} et al., Discrete Math. 345, No. 8, Article ID 112936, 12 p. (2022; Zbl 07533031) Full Text: DOI OpenURL
Gryszka, Karol How to compare power towers? (English) Zbl 07532790 Lith. Math. J. 62, No. 2, 192-206 (2022). MSC: 11A99 33B10 11B37 11A67 PDF BibTeX XML Cite \textit{K. Gryszka}, Lith. Math. J. 62, No. 2, 192--206 (2022; Zbl 07532790) Full Text: DOI OpenURL
Bordellès, Olivier; Tóth, László Additive arithmetic functions meet the inclusion-exclusion principle: asymptotic formulas concerning the GCD and LCM of several integers. (English) Zbl 07532788 Lith. Math. J. 62, No. 2, 150-169 (2022). MSC: 11A07 11A25 11N37 PDF BibTeX XML Cite \textit{O. Bordellès} and \textit{L. Tóth}, Lith. Math. J. 62, No. 2, 150--169 (2022; Zbl 07532788) Full Text: DOI OpenURL
Szyszkowska, Paulina Increasing sequence of topologies on the set of positive integers. (English) Zbl 07530398 Topology Appl. 314, Article ID 108096, 8 p. (2022). MSC: 54D05 11B25 11A05 PDF BibTeX XML Cite \textit{P. Szyszkowska}, Topology Appl. 314, Article ID 108096, 8 p. (2022; Zbl 07530398) Full Text: DOI OpenURL
Ding, Yuchen Extending an Erdős result on a romanov type problem. (English) Zbl 07530382 Arch. Math. 118, No. 6, 587-592 (2022). MSC: 11A41 11A67 PDF BibTeX XML Cite \textit{Y. Ding}, Arch. Math. 118, No. 6, 587--592 (2022; Zbl 07530382) Full Text: DOI OpenURL
Iwata, Hideto On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions. (English) Zbl 07528826 Adv. Stud.: Euro-Tbil. Math. J. 15, No. 1, 83-92 (2022). MSC: 11A25 11N37 45D05 PDF BibTeX XML Cite \textit{H. Iwata}, Adv. Stud.: Euro-Tbil. Math. J. 15, No. 1, 83--92 (2022; Zbl 07528826) Full Text: DOI OpenURL
Vargas, Victor On involution kernels and large deviations principles on \(\beta\)-shifts. (English) Zbl 07528592 Discrete Contin. Dyn. Syst. 42, No. 6, 2699-2718 (2022). MSC: 11A63 28Dxx 37A35 37D35 PDF BibTeX XML Cite \textit{V. Vargas}, Discrete Contin. Dyn. Syst. 42, No. 6, 2699--2718 (2022; Zbl 07528592) Full Text: DOI OpenURL
Serafin, Grzegorz Backward Touchard congruence. (English) Zbl 07527845 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 4, 603-614 (2022). MSC: 11A07 11B50 11B73 11C08 PDF BibTeX XML Cite \textit{G. Serafin}, Bull. Belg. Math. Soc. - Simon Stevin 28, No. 4, 603--614 (2022; Zbl 07527845) Full Text: DOI OpenURL
Nath, Ayan; Jha, Abhishek On quotients of values of Euler’s function on factorials. (English) Zbl 07527737 Bull. Aust. Math. Soc. 105, No. 3, 353-364 (2022). MSC: 11A25 11B65 11N37 11A07 PDF BibTeX XML Cite \textit{A. Nath} and \textit{A. Jha}, Bull. Aust. Math. Soc. 105, No. 3, 353--364 (2022; Zbl 07527737) Full Text: DOI OpenURL
Alghazzawi, Dilshad; Mateen, M. Haris; Malik, M. Aslam; Hammachukiattikul, P.; Abdo, Mohammed S. Möbius group generated by two elements of order 2, 4, and reduced quadratic irrational numbers. (Mobius group generated by two elements of order 2, 4, and reduced quadratic irrational numbers.) (English) Zbl 07525274 J. Funct. Spaces 2022, Article ID 6320243, 11 p. (2022). MSC: 11A55 20F99 PDF BibTeX XML Cite \textit{D. Alghazzawi} et al., J. Funct. Spaces 2022, Article ID 6320243, 11 p. (2022; Zbl 07525274) Full Text: DOI OpenURL
Tóth, László Menon-type identities concerning subsets of the set \(\{1, 2,\ldots, n\}\). (English) Zbl 07523961 Math. Pannonica (N.S.) 28, No. 1, 65-68 (2022). Reviewer: Jürgen Spilker (Freiburg im Breisgau) MSC: 11A25 11A05 11B75 PDF BibTeX XML Cite \textit{L. Tóth}, Math. Pannonica (N.S.) 28, No. 1, 65--68 (2022; Zbl 07523961) Full Text: DOI OpenURL
Kargin, Levent; Cenkci, Mehmet; Dil, Ayhan; Can, Mümün Generalized harmonic numbers via poly-Bernoulli polynomials. (English) Zbl 07523941 Publ. Math. 100, No. 3-4, 365-386 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B75 11B68 11B73 11A07 PDF BibTeX XML Cite \textit{L. Kargin} et al., Publ. Math. 100, No. 3--4, 365--386 (2022; Zbl 07523941) Full Text: DOI OpenURL
Chen, Long; Feng, Yulu; Hong, Shaofang; Qiu, Min On the divisibility of matrices associated with multiplicative functions. (English) Zbl 07523939 Publ. Math. 100, No. 3-4, 323-335 (2022). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A05 15A36 PDF BibTeX XML Cite \textit{L. Chen} et al., Publ. Math. 100, No. 3--4, 323--335 (2022; Zbl 07523939) Full Text: DOI OpenURL
Ghanmi, Nejib Numbers with empty rational Korselt sets. (English) Zbl 07523301 Hacet. J. Math. Stat. 51, No. 1, 83-94 (2022). MSC: 11Y16 11Y11 11A51 PDF BibTeX XML Cite \textit{N. Ghanmi}, Hacet. J. Math. Stat. 51, No. 1, 83--94 (2022; Zbl 07523301) Full Text: DOI OpenURL
Pollack, Paul; Roy, Akash Singha Powerfree sums of proper divisors. (English) Zbl 07523208 Colloq. Math. 168, No. 2, 287-295 (2022). MSC: 11N37 11A25 11N64 PDF BibTeX XML Cite \textit{P. Pollack} and \textit{A. S. Roy}, Colloq. Math. 168, No. 2, 287--295 (2022; Zbl 07523208) Full Text: DOI OpenURL
de Vega, F. Javier A complete solution of the partition of a number into arithmetic progressions. (English) Zbl 07523015 JP J. Algebra Number Theory Appl. 53, No. 2, 109-122 (2022). MSC: 11P81 11A51 PDF BibTeX XML Cite \textit{F. J. de Vega}, JP J. Algebra Number Theory Appl. 53, No. 2, 109--122 (2022; Zbl 07523015) Full Text: DOI OpenURL
de Vega, F. Javier An extension of Furstenberg’s theorem of the infinitude of primes. (English) Zbl 07523011 JP J. Algebra Number Theory Appl. 53, No. 1, 21-43 (2022). MSC: 11A41 11A51 11A05 PDF BibTeX XML Cite \textit{F. J. de Vega}, JP J. Algebra Number Theory Appl. 53, No. 1, 21--43 (2022; Zbl 07523011) Full Text: DOI OpenURL
Kogiso, Takeyoshi; Wakui, Michihisa A characterization of Conway-Coxeter friezes of zigzag type by rational links. (English) Zbl 07522828 Osaka J. Math. 59, No. 2, 341-362 (2022). MSC: 11A55 13F60 57K10 57K14 PDF BibTeX XML Cite \textit{T. Kogiso} and \textit{M. Wakui}, Osaka J. Math. 59, No. 2, 341--362 (2022; Zbl 07522828) Full Text: Link OpenURL
Sokal, Alan D.; Zeng, Jiang Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions. (English) Zbl 07518345 Adv. Appl. Math. 138, Article ID 102341, 122 p. (2022). MSC: 05A19 05A05 05A10 05A15 05A18 05A30 30B70 33C45 33D45 11A55 PDF BibTeX XML Cite \textit{A. D. Sokal} and \textit{J. Zeng}, Adv. Appl. Math. 138, Article ID 102341, 122 p. (2022; Zbl 07518345) Full Text: DOI OpenURL
Szechtman, Fernando Closed formulae for certain Fermat-Pell equations. (English) Zbl 07517828 Commun. Algebra 50, No. 2, 661-667 (2022). MSC: 11Y65 11A55 11D09 11Y50 11B37 PDF BibTeX XML Cite \textit{F. Szechtman}, Commun. Algebra 50, No. 2, 661--667 (2022; Zbl 07517828) Full Text: DOI OpenURL
Karpenkov, Oleg On Hermite’s problem, Jacobi-Perron type algorithms, and Dirichlet groups. (English) Zbl 07517643 Acta Arith. 203, No. 1, 27-48 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11K50 11A55 11A05 PDF BibTeX XML Cite \textit{O. Karpenkov}, Acta Arith. 203, No. 1, 27--48 (2022; Zbl 07517643) Full Text: DOI OpenURL
Ikikardes, Nazli Yildiz; Hwang, Jihyun; Kim, Daeyeoul Arithmetic convolution sums derived from eta quotients related to divisors of 6. (English) Zbl 07517560 Open Math. 20, 341-365 (2022). MSC: 11A07 11A25 PDF BibTeX XML Cite \textit{N. Y. Ikikardes} et al., Open Math. 20, 341--365 (2022; Zbl 07517560) Full Text: DOI OpenURL
Lev, Felix M. Discussion of foundation of mathematics and quantum theory. (English) Zbl 07517542 Open Math. 20, 94-107 (2022). MSC: 03A05 11Axx 11Txx 13Mxx 16Gxx 81R05 PDF BibTeX XML Cite \textit{F. M. Lev}, Open Math. 20, 94--107 (2022; Zbl 07517542) Full Text: DOI OpenURL
de Vries, Martijn; Komornik, Vilmos; Loreti, Paola Topology of univoque sets in real base expansions. (English) Zbl 07514749 Topology Appl. 312, Article ID 108085, 36 p. (2022). MSC: 11A63 11K55 11B83 37B10 PDF BibTeX XML Cite \textit{M. de Vries} et al., Topology Appl. 312, Article ID 108085, 36 p. (2022; Zbl 07514749) Full Text: DOI OpenURL
Lichtman, Jared Duker Translated sums of primitive sets. (English) Zbl 07514684 C. R., Math., Acad. Sci. Paris 360, 409-414 (2022). MSC: 11N25 11Y60 11A05 11M32 PDF BibTeX XML Cite \textit{J. D. Lichtman}, C. R., Math., Acad. Sci. Paris 360, 409--414 (2022; Zbl 07514684) Full Text: DOI OpenURL
Mao, Guo-Shuai; Li, Danrui Proof of some conjectural congruences modulo \(p^3\). (English) Zbl 07513893 J. Difference Equ. Appl. 28, No. 4, 496-509 (2022). MSC: 11A07 05A10 11B65 11B68 PDF BibTeX XML Cite \textit{G.-S. Mao} and \textit{D. Li}, J. Difference Equ. Appl. 28, No. 4, 496--509 (2022; Zbl 07513893) Full Text: DOI OpenURL
Quan, Junjie Explicit formulas of alternating multiple zeta star values \(\zeta^\star(\bar{1}, \{1\}_{m-1}, \bar{1})\) and \(\zeta^\star(2, \{1\}_{m-1}, \bar{1})\). (English) Zbl 1485.11132 AIMS Math. 7, No. 1, 288-293 (2022). MSC: 11M32 11A07 PDF BibTeX XML Cite \textit{J. Quan}, AIMS Math. 7, No. 1, 288--293 (2022; Zbl 1485.11132) Full Text: DOI OpenURL
Dilcher, Karl; Girstmair, Kurt The powers of certain number-theoretic matrices. (English) Zbl 07512613 Am. Math. Mon. 129, No. 4, 320-335 (2022). MSC: 11C20 11A25 15B36 PDF BibTeX XML Cite \textit{K. Dilcher} and \textit{K. Girstmair}, Am. Math. Mon. 129, No. 4, 320--335 (2022; Zbl 07512613) Full Text: DOI OpenURL
Chandran, Arya; Thomas, Neha Elizabeth; Namboothiri, K. Vishnu A Menon-type identity using Klee’s function. (English) Zbl 07511559 Czech. Math. J. 72, No. 1, 165-176 (2022). MSC: 11A07 11A25 20D60 20D99 PDF BibTeX XML Cite \textit{A. Chandran} et al., Czech. Math. J. 72, No. 1, 165--176 (2022; Zbl 07511559) Full Text: DOI OpenURL
Yu, Menglin; Wang, Xiaoxia Proof of two conjectures of Guo and Schlosser. (English) Zbl 07510934 Ramanujan J. 58, No. 1, 239-252 (2022). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{M. Yu} and \textit{X. Wang}, Ramanujan J. 58, No. 1, 239--252 (2022; Zbl 07510934) Full Text: DOI OpenURL
Fox, Matthew S.; Karamchedu, Chaitanya On Ramanujan sums of a real variable and a new Ramanujan expansion for the divisor function. (English) Zbl 07510933 Ramanujan J. 58, No. 1, 229-237 (2022). MSC: 11A99 11L05 PDF BibTeX XML Cite \textit{M. S. Fox} and \textit{C. Karamchedu}, Ramanujan J. 58, No. 1, 229--237 (2022; Zbl 07510933) Full Text: DOI OpenURL
Gallardo, Luis H. On the equation \(\Pi_P\Phi_3(P)=\Pi_PP^2\) over \(F_2[x]\). (English) Zbl 07510741 Gulf J. Math. 12, No. 2, 39-48 (2022). MSC: 11T55 11T06 11A07 PDF BibTeX XML Cite \textit{L. H. Gallardo}, Gulf J. Math. 12, No. 2, 39--48 (2022; Zbl 07510741) Full Text: Link OpenURL
Haddley, A.; Nair, R. On Schneider’s continued fraction map on a complete non-Archimedean field. (English) Zbl 07507214 Arnold Math. J. 8, No. 1, 19-38 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 11A55 11J70 PDF BibTeX XML Cite \textit{A. Haddley} and \textit{R. Nair}, Arnold Math. J. 8, No. 1, 19--38 (2022; Zbl 07507214) Full Text: DOI OpenURL
Miska, Piotr; Ulas, Maciej On consecutive 1’s in continued fractions expansions of square roots of prime numbers. (English) Zbl 07507085 Exp. Math. 31, No. 1, 238-251 (2022). Reviewer: Anitha Srinivasan (Madrid) MSC: 11A55 PDF BibTeX XML Cite \textit{P. Miska} and \textit{M. Ulas}, Exp. Math. 31, No. 1, 238--251 (2022; Zbl 07507085) Full Text: DOI OpenURL
Harvey, David; Hittmeir, Markus A \(\log\)-\(\log\) speedup for exponent one-fifth deterministic integer factorisation. (English) Zbl 07506853 Math. Comput. 91, No. 335, 1367-1379 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y05 11A51 11Y16 PDF BibTeX XML Cite \textit{D. Harvey} and \textit{M. Hittmeir}, Math. Comput. 91, No. 335, 1367--1379 (2022; Zbl 07506853) Full Text: DOI OpenURL
Pushpa, K.; Vasuki, K. R. Evaluation of convolution sums \(\sum\limits_{l + km = n} \sigma(l)\sigma(m)\) and \(\sum\limits_{al + bm = n} \sigma (l)\sigma (m)\) for \(k = a \cdot b = 21, 33\), and \(35\). (English) Zbl 07506051 Glasg. Math. J. 64, No. 2, 434-453 (2022). MSC: 11A25 11M36 11E20 11E25 11F20 PDF BibTeX XML Cite \textit{K. Pushpa} and \textit{K. R. Vasuki}, Glasg. Math. J. 64, No. 2, 434--453 (2022; Zbl 07506051) Full Text: DOI OpenURL
Guo, Victor J. W.; Schlosser, Michael J. A family of \(q\)-supercongruences modulo the cube of a cyclotomic polynomial. (English) Zbl 07505703 Bull. Aust. Math. Soc. 105, No. 2, 296-302 (2022). MSC: 11A07 11B65 11C08 33D15 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Bull. Aust. Math. Soc. 105, No. 2, 296--302 (2022; Zbl 07505703) Full Text: DOI OpenURL
Lakein, Kaya; Larsen, Anne A proof of Merca’s conjectures on sums of odd divisor functions. (English) Zbl 07505691 Bull. Aust. Math. Soc. 105, No. 2, 197-201 (2022). MSC: 11A25 11P81 PDF BibTeX XML Cite \textit{K. Lakein} and \textit{A. Larsen}, Bull. Aust. Math. Soc. 105, No. 2, 197--201 (2022; Zbl 07505691) Full Text: DOI OpenURL
Wu, Hai-Liang; She, Yue-Feng Cubes in finite fields and related permutations. (English) Zbl 07505690 Bull. Aust. Math. Soc. 105, No. 2, 188-196 (2022). MSC: 11A15 05A05 11R18 PDF BibTeX XML Cite \textit{H.-L. Wu} and \textit{Y.-F. She}, Bull. Aust. Math. Soc. 105, No. 2, 188--196 (2022; Zbl 07505690) Full Text: DOI OpenURL
Hida, Takanori Stern-Brocot tree and Ducci map. (English) Zbl 07505573 J. Difference Equ. Appl. 28, No. 3, 335-354 (2022). MSC: 39B12 11B75 11A55 05C05 PDF BibTeX XML Cite \textit{T. Hida}, J. Difference Equ. Appl. 28, No. 3, 335--354 (2022; Zbl 07505573) Full Text: DOI OpenURL
Chaubey, Sneha; Goel, Shivani Mean value estimates of gcd and lcm-sums. (English) Zbl 07505289 Int. J. Number Theory 18, No. 3, 629-654 (2022). MSC: 11A05 11M06 11N37 PDF BibTeX XML Cite \textit{S. Chaubey} and \textit{S. Goel}, Int. J. Number Theory 18, No. 3, 629--654 (2022; Zbl 07505289) Full Text: DOI OpenURL
Işıkay, Sevcan; Pekin, Ayten On Yokoi’s invariants and the Ankeny-Artin-Chowla conjecture. (English) Zbl 07505282 Int. J. Number Theory 18, No. 3, 473-484 (2022). MSC: 11A55 11R27 11R29 11R11 PDF BibTeX XML Cite \textit{S. Işıkay} and \textit{A. Pekin}, Int. J. Number Theory 18, No. 3, 473--484 (2022; Zbl 07505282) Full Text: DOI OpenURL
Brandão, Antônio; Fidelis, Claudemir; Guimarães, Alan \(\mathbb{Z}\)-gradings of full support on the Grassmann algebra. (English) Zbl 07503716 J. Algebra 601, 332-353 (2022). MSC: 11A05 11A51 15A75 16R10 16W50 PDF BibTeX XML Cite \textit{A. Brandão} et al., J. Algebra 601, 332--353 (2022; Zbl 07503716) Full Text: DOI OpenURL
Guo, Victor J. W. A new extension of the (A.2) supercongruence of Van Hamme. (English) Zbl 07501061 Result. Math. 77, No. 3, Paper No. 96, 11 p. (2022). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo}, Result. Math. 77, No. 3, Paper No. 96, 11 p. (2022; Zbl 07501061) Full Text: DOI OpenURL
Soundararajan, K. Integral factorial ratios. (English) Zbl 07500560 Duke Math. J. 171, No. 3, 633-672 (2022). MSC: 11A99 11B75 PDF BibTeX XML Cite \textit{K. Soundararajan}, Duke Math. J. 171, No. 3, 633--672 (2022; Zbl 07500560) Full Text: DOI OpenURL
De Koninck, Jean-Marie; Kátai, Imre On the consecutive prime divisors of an integer. (English) Zbl 07499473 Funct. Approximatio, Comment. Math. 66, No. 1, 7-33 (2022). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11A05 PDF BibTeX XML Cite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Funct. Approximatio, Comment. Math. 66, No. 1, 7--33 (2022; Zbl 07499473) Full Text: DOI OpenURL
Alterman, Sebastian Zuniga Explicit averages of square-free supported functions: to the edge of the convolution method. (English) Zbl 07499462 Colloq. Math. 168, No. 1, 1-23 (2022). MSC: 11N37 11A25 11A41 PDF BibTeX XML Cite \textit{S. Z. Alterman}, Colloq. Math. 168, No. 1, 1--23 (2022; Zbl 07499462) Full Text: DOI OpenURL
Zhao, Feng; Wu, Jie Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski, 2. (English) Zbl 07496904 Acta Arith. 202, No. 2, 185-194 (2022). MSC: 11A25 11N36 11N37 PDF BibTeX XML Cite \textit{F. Zhao} and \textit{J. Wu}, Acta Arith. 202, No. 2, 185--194 (2022; Zbl 07496904) Full Text: DOI OpenURL
Zuniga Alterman, Sebastian On a logarithmic sum related to the Selberg sieve. (English) Zbl 07496901 Acta Arith. 202, No. 2, 123-160 (2022). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N35 11N37 11N56 11A05 11A25 11A41 11N64 PDF BibTeX XML Cite \textit{S. Zuniga Alterman}, Acta Arith. 202, No. 2, 123--160 (2022; Zbl 07496901) Full Text: DOI OpenURL
Pollack, Paul; Roy, Akash Singha Joint distribution in residue classes of polynomial-like multiplicative functions. (English) Zbl 07496899 Acta Arith. 202, No. 1, 89-104 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A25 11N36 11N64 PDF BibTeX XML Cite \textit{P. Pollack} and \textit{A. S. Roy}, Acta Arith. 202, No. 1, 89--104 (2022; Zbl 07496899) Full Text: DOI OpenURL