Mousavi, Hamed; Schmidt, Maxie D. Factorization theorems for relatively prime divisor sums, GCD sums and generalized Ramanujan sums. (English) Zbl 07344958 Ramanujan J. 54, No. 2, 309-341 (2021). MSC: 11N64 11A25 05A17 PDF BibTeX XML Cite \textit{H. Mousavi} and \textit{M. D. Schmidt}, Ramanujan J. 54, No. 2, 309--341 (2021; Zbl 07344958) Full Text: DOI
Guerzhoy, P.; Wong, Ka Lun Farkas’ identities with quartic characters. (English) Zbl 07344952 Ramanujan J. 54, No. 3, 679-697 (2021). MSC: 11F11 11A25 PDF BibTeX XML Cite \textit{P. Guerzhoy} and \textit{K. L. Wong}, Ramanujan J. 54, No. 3, 679--697 (2021; Zbl 07344952) Full Text: DOI
Chang, Sungkon The space of convolution identities on divisor functions. (English) Zbl 07344951 Ramanujan J. 54, No. 3, 659-677 (2021). MSC: 11A25 PDF BibTeX XML Cite \textit{S. Chang}, Ramanujan J. 54, No. 3, 659--677 (2021; Zbl 07344951) Full Text: DOI
Djanković, Goran The least common multiple of random sets in polynomial rings over finite fields. (English) Zbl 07344922 Ramanujan J. 55, No. 1, 13-23 (2021). MSC: 11T55 11A05 11N60 11K99 PDF BibTeX XML Cite \textit{G. Djanković}, Ramanujan J. 55, No. 1, 13--23 (2021; Zbl 07344922) Full Text: DOI
Liu, Kui; Wu, Jie Weighted Erdős-Kac theorem in short intervals. (English) Zbl 07344921 Ramanujan J. 55, No. 1, 1-12 (2021). MSC: 11N60 11N36 11N37 PDF BibTeX XML Cite \textit{K. Liu} and \textit{J. Wu}, Ramanujan J. 55, No. 1, 1--12 (2021; Zbl 07344921) Full Text: DOI
He, Xiaoguang; Wang, Zhiren Möbius disjointness for nilsequences along short intervals. (English) Zbl 07344652 Trans. Am. Math. Soc. 374, No. 6, 3881-3917 (2021). MSC: 37A44 11A25 PDF BibTeX XML Cite \textit{X. He} and \textit{Z. Wang}, Trans. Am. Math. Soc. 374, No. 6, 3881--3917 (2021; Zbl 07344652) Full Text: DOI
Altassan, Alaa; Luca, Florian Markov type equations with solutions in Lucas sequences. (English) Zbl 07343509 Mediterr. J. Math. 18, No. 3, Paper No. 87, 12 p. (2021). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{A. Altassan} and \textit{F. Luca}, Mediterr. J. Math. 18, No. 3, Paper No. 87, 12 p. (2021; Zbl 07343509) Full Text: DOI
Bohra, Ayush; Reddy, Arikatla Satyanarayana Permanents of \(2 \times 2\) matrices modulo \(n\). (English) Zbl 07342380 PUMP J. Undergrad. Res. 4, 141-145 (2021). MSC: 15A15 05B10 PDF BibTeX XML Cite \textit{A. Bohra} and \textit{A. S. Reddy}, PUMP J. Undergrad. Res. 4, 141--145 (2021; Zbl 07342380) Full Text: Link
Jiang, Yanan; Miller, Steven J. Generalizing Ruth-Aaron numbers. (English) Zbl 07342374 PUMP J. Undergrad. Res. 4, 20-62 (2021). MSC: 11N05 11N56 11P32 PDF BibTeX XML Cite \textit{Y. Jiang} and \textit{S. J. Miller}, PUMP J. Undergrad. Res. 4, 20--62 (2021; Zbl 07342374) Full Text: Link
Bród, Dorota On balancing quaternions and Lucas-balancing quaternions. (English) Zbl 07341083 Discuss. Math., Gen. Algebra Appl. 41, No. 1, 55-68 (2021). MSC: 11B37 11R52 PDF BibTeX XML Cite \textit{D. Bród}, Discuss. Math., Gen. Algebra Appl. 41, No. 1, 55--68 (2021; Zbl 07341083) Full Text: DOI
Qi, Feng Simplifying coefficients in differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials. (English) Zbl 07340792 Bol. Soc. Parana. Mat. (3) 39, No. 4, 73-82 (2021). MSC: 34A05 05A15 11A25 11B73 11B83 11C08 42C10 PDF BibTeX XML Cite \textit{F. Qi}, Bol. Soc. Parana. Mat. (3) 39, No. 4, 73--82 (2021; Zbl 07340792) Full Text: Link
Alahmadi, Adel; Altassan, Alaa; Luca, Florian; Shoaib, Hatoon Fibonacci numbers which are concatenations of two repdigits. (English) Zbl 07340199 Quaest. Math. 44, No. 2, 281-290 (2021). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{A. Alahmadi} et al., Quaest. Math. 44, No. 2, 281--290 (2021; Zbl 07340199) Full Text: DOI
Liang, Y. G.; Da Silva, Sergio; Zhang, Yang The tensor rank problem over the quaternions. (English) Zbl 07337651 Linear Algebra Appl. 620, 37-60 (2021). MSC: 14N07 15A69 11R52 PDF BibTeX XML Cite \textit{Y. G. Liang} et al., Linear Algebra Appl. 620, 37--60 (2021; Zbl 07337651) Full Text: DOI
Hamahata, Yoshinori Multiple arithmetic functions in function fields. (English) Zbl 07336785 Res. Number Theory 7, No. 1, Paper No. 19, 11 p. (2021). MSC: 11A25 13A05 11R58 11D41 PDF BibTeX XML Cite \textit{Y. Hamahata}, Res. Number Theory 7, No. 1, Paper No. 19, 11 p. (2021; Zbl 07336785) Full Text: DOI
Autissier, Pascal Around the Fekete-Szegő theorem. (Autour du théorème de Fekete-Szegő.) (French) Zbl 07336439 Peyre, Emmanuel (ed.) et al., Arakelov geometry and diophantine applications. Based on lectures given at the summer school, Grenoble, France, June 12–30, 2017. Cham: Springer (ISBN 978-3-030-57558-8/pbk; 978-3-030-57559-5/ebook). Lecture Notes in Mathematics 2276, 329-340 (2021). MSC: 30C45 31C15 11R04 14G40 PDF BibTeX XML Cite \textit{P. Autissier}, Lect. Notes Math. 2276, 329--340 (2021; Zbl 07336439) Full Text: DOI
Bitim, Bahar Demirtürk; Topal, Nazim Binomial sum formulas from the exponential generating functions of (\(p,q\))-Fibonacci and (\(p,q\))-Lucas quaternions. (English) Zbl 07336010 Palest. J. Math. 10, No. 1, 279-289 (2021). MSC: 11B39 11B83 11R52 PDF BibTeX XML Cite \textit{B. D. Bitim} and \textit{N. Topal}, Palest. J. Math. 10, No. 1, 279--289 (2021; Zbl 07336010) Full Text: Link
Leobacher, Gunther; Prochno, Joscha Statistical independence in mathematics – the key to a Gaussian law. (English) Zbl 07334964 Math. Semesterber. 68, No. 1, 69-104 (2021). MSC: 60F05 60G50 11K65 42A55 42A61 PDF BibTeX XML Cite \textit{G. Leobacher} and \textit{J. Prochno}, Math. Semesterber. 68, No. 1, 69--104 (2021; Zbl 07334964) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh On the variations of completely multiplicative functions at consecutive arguments. (English) Zbl 07334618 Publ. Math. 98, No. 1-2, 219-230 (2021). MSC: 11N64 11K65 PDF BibTeX XML Cite \textit{J.-M. De Koninck} et al., Publ. Math. 98, No. 1--2, 219--230 (2021; Zbl 07334618) Full Text: DOI
Chen, Man; Qi, Tianfang A Menon-Sury-type identity for arithmetic functions on \(\mathbb{F}_q[T ]\). (English) Zbl 07334609 Publ. Math. 98, No. 1-2, 1-14 (2021). MSC: 11T55 11A07 11A25 PDF BibTeX XML Cite \textit{M. Chen} and \textit{T. Qi}, Publ. Math. 98, No. 1--2, 1--14 (2021; Zbl 07334609) Full Text: DOI
Bhaskhar, Nivedita Reduced Whitehead groups of prime exponent algebras over \(p\)-adic curves. (English) Zbl 07334061 Doc. Math. 26, 337-413 (2021). Reviewer: Adam Chapman (Tel Hai) MSC: 16K20 16K50 11R58 14H25 14H05 PDF BibTeX XML Cite \textit{N. Bhaskhar}, Doc. Math. 26, 337--413 (2021; Zbl 07334061) Full Text: DOI
Pollack, Paul The number of non-cyclic Sylow subgroups of the multiplicative group modulo \(n\). (English) Zbl 07333169 Can. Math. Bull. 64, No. 1, 204-215 (2021). MSC: 11N37 11N36 PDF BibTeX XML Cite \textit{P. Pollack}, Can. Math. Bull. 64, No. 1, 204--215 (2021; Zbl 07333169) Full Text: DOI
Namboothiri, K. Vishnu A formula for the number of solutions of a restricted linear congruence. (English) Zbl 07332741 Math. Bohem. 146, No. 1, 47-54 (2021). MSC: 11D79 11P83 11L03 11A25 42A16 PDF BibTeX XML Cite \textit{K. V. Namboothiri}, Math. Bohem. 146, No. 1, 47--54 (2021; Zbl 07332741) Full Text: DOI
Du, Tuoping Weak Siegel-Weil formula for \(\mathbb{M}_2(\mathbb{Q})\) and arithmetic on quaternions. (English) Zbl 07331125 Trans. Am. Math. Soc. 374, No. 5, 3397-3426 (2021). MSC: 11R52 11G18 11F32 11F41 11S23 PDF BibTeX XML Cite \textit{T. Du}, Trans. Am. Math. Soc. 374, No. 5, 3397--3426 (2021; Zbl 07331125) Full Text: DOI
Hasanalizade, Elchin Distribution of the divisor function at consecutive integers. (English) Zbl 07330713 Bull. Aust. Math. Soc. 103, No. 2, 244-247 (2021). MSC: 11N36 11N37 PDF BibTeX XML Cite \textit{E. Hasanalizade}, Bull. Aust. Math. Soc. 103, No. 2, 244--247 (2021; Zbl 07330713) Full Text: DOI
Amdeberhan, Tewodros; Moll, Victor H.; Sharma, Vaishavi; Villamizar, Diego Arithmetic properties of the sum of divisors. (English) Zbl 07329234 J. Number Theory 223, 325-349 (2021). MSC: 11A25 11D61 11A41 PDF BibTeX XML Cite \textit{T. Amdeberhan} et al., J. Number Theory 223, 325--349 (2021; Zbl 07329234) Full Text: DOI
Molina, Santiago Finite slope triple product \(p\)-adic \(L\)-functions over totally real number fields. (English) Zbl 07329232 J. Number Theory 223, 267-306 (2021). MSC: 11F85 11G40 11F67 11G18 11F33 PDF BibTeX XML Cite \textit{S. Molina}, J. Number Theory 223, 267--306 (2021; Zbl 07329232) Full Text: DOI
Ferguson, Timothy Entire functions with undecidable arithmetic properties. (English) Zbl 07329231 J. Number Theory 223, 255-266 (2021). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J91 03D35 11J72 PDF BibTeX XML Cite \textit{T. Ferguson}, J. Number Theory 223, 255--266 (2021; Zbl 07329231) Full Text: DOI
Wang, Zhiwei Three conjectures on \(P^+(n)\) and \(P^+(n+1)\) hold under the Elliott-Halberstam conjecture for friable integers. (English) Zbl 07329219 J. Number Theory 223, 1-11 (2021). MSC: 11N25 11N37 PDF BibTeX XML Cite \textit{Z. Wang}, J. Number Theory 223, 1--11 (2021; Zbl 07329219) Full Text: DOI
Bennett, Michael A.; Martin, Greg; O’bryant, Kevin; Rechnitzer, Andrew Counting zeros of Dirichlet \(L\)-functions. (English) Zbl 07328928 Math. Comput. 90, No. 329, 1455-1482 (2021). MSC: 11N13 11N37 11M20 11M26 11Y35 11Y40 PDF BibTeX XML Cite \textit{M. A. Bennett} et al., Math. Comput. 90, No. 329, 1455--1482 (2021; Zbl 07328928) Full Text: DOI
Dai, Lixia; Pan, Hao Totient quotient and small gaps between primes. (English) Zbl 07328621 Monatsh. Math. 194, No. 3, 481-493 (2021). MSC: 11N05 11N37 11N56 PDF BibTeX XML Cite \textit{L. Dai} and \textit{H. Pan}, Monatsh. Math. 194, No. 3, 481--493 (2021; Zbl 07328621) Full Text: DOI
Kinegawa, Miu; Miyamoto, Sayaka; Nishizawa, Yusuke Rational expressions of arithmetic and geometric means for the sequence \((n^p)_{n\in\mathbb{N}}\) and the geometric progression. (English) Zbl 07328591 Aust. J. Math. Anal. Appl. 18, No. 1, Article No. 10, 7 p. (2021). MSC: 40A05 40A30 26E60 26D15 PDF BibTeX XML Cite \textit{M. Kinegawa} et al., Aust. J. Math. Anal. Appl. 18, No. 1, Article No. 10, 7 p. (2021; Zbl 07328591) Full Text: Link
Chu, Hùng Việt Divisibility of divisor functions of even perfect numbers. (English) Zbl 07327926 J. Integer Seq. 24, No. 3, Article 21.3.4, 16 p. (2021). MSC: 11A25 PDF BibTeX XML Cite \textit{H. V. Chu}, J. Integer Seq. 24, No. 3, Article 21.3.4, 16 p. (2021; Zbl 07327926) Full Text: Link
Steven; Hoseana, Jonathan The prime-power map. (English) Zbl 07327916 J. Integer Seq. 24, No. 2, Article 21.2.2, 20 p. (2021). MSC: 11A25 11A41 37P99 PDF BibTeX XML Cite \textit{Steven} and \textit{J. Hoseana}, J. Integer Seq. 24, No. 2, Article 21.2.2, 20 p. (2021; Zbl 07327916) Full Text: Link
Demangos, L.; Gendron, T. M. Quantum modular invariant and Hilbert class fields of real quadratic global function fields. (English) Zbl 07327161 Sel. Math., New Ser. 27, No. 1, Paper No. 13, 25 p. (2021). MSC: 11R37 11R80 11R58 11F03 11K60 PDF BibTeX XML Cite \textit{L. Demangos} and \textit{T. M. Gendron}, Sel. Math., New Ser. 27, No. 1, Paper No. 13, 25 p. (2021; Zbl 07327161) Full Text: DOI
Sanna, Carlo On the least common multiple of random \(q\)-integers. (English) Zbl 07326375 Res. Number Theory 7, No. 1, Paper No. 16, 10 p. (2021). MSC: 11N37 11B99 PDF BibTeX XML Cite \textit{C. Sanna}, Res. Number Theory 7, No. 1, Paper No. 16, 10 p. (2021; Zbl 07326375) Full Text: DOI
Krasnov, Kirill So(9) characterization of the standard model gauge group. (English) Zbl 07326354 J. Math. Phys. 62, No. 2, 021703, 16 p. (2021). MSC: 81V22 81T13 17C50 17C60 11R52 81R25 PDF BibTeX XML Cite \textit{K. Krasnov}, J. Math. Phys. 62, No. 2, 021703, 16 p. (2021; Zbl 07326354) Full Text: DOI
Chari, Sara; Smertnig, Daniel; Voight, John On basic and bass quaternion orders. (English) Zbl 07326208 Proc. Am. Math. Soc., Ser. B 8, 11-26 (2021). MSC: 16H10 11R52 16S37 PDF BibTeX XML Cite \textit{S. Chari} et al., Proc. Am. Math. Soc., Ser. B 8, 11--26 (2021; Zbl 07326208) Full Text: DOI
Engberg, Zebediah; Pollack, Paul The reciprocal sum of divisors of Mersenne numbers. (English) Zbl 07324324 Acta Arith. 197, No. 4, 421-440 (2021). MSC: 11N37 11A25 11B37 PDF BibTeX XML Cite \textit{Z. Engberg} and \textit{P. Pollack}, Acta Arith. 197, No. 4, 421--440 (2021; Zbl 07324324) Full Text: DOI
Technau, Marc; Zafeiropoulos, Agamemnon Metric results on summatory arithmetic functions on Beatty sets. (English) Zbl 07324307 Acta Arith. 197, No. 1, 93-104 (2021). MSC: 11B83 11J83 11K65 PDF BibTeX XML Cite \textit{M. Technau} and \textit{A. Zafeiropoulos}, Acta Arith. 197, No. 1, 93--104 (2021; Zbl 07324307) Full Text: DOI
Babei, Angelica; Chari, Sara Metacommutation of primes in Eichler orders. (English) Zbl 07324306 Acta Arith. 197, No. 1, 77-92 (2021). Reviewer: Adam Chapman (Tel Hai) MSC: 11S45 11R52 PDF BibTeX XML Cite \textit{A. Babei} and \textit{S. Chari}, Acta Arith. 197, No. 1, 77--92 (2021; Zbl 07324306) Full Text: DOI
Bartoli, Daniele; Montanucci, Maria; Zini, Giovanni Weierstrass semigroups at every point of the Suzuki curve. (English) Zbl 07324302 Acta Arith. 197, No. 1, 1-20 (2021). Reviewer: David Joyner (Annapolis) MSC: 11G20 11R58 14H05 14H55 PDF BibTeX XML Cite \textit{D. Bartoli} et al., Acta Arith. 197, No. 1, 1--20 (2021; Zbl 07324302) Full Text: DOI
Muhie, Seid Kassaw; Russo, Francesco G. The probability of commuting subgroups in arbitrary lattices of subgroups. (English) Zbl 07324045 Int. J. Group Theory 10, No. 3, 125-135 (2021). MSC: 20P05 06B23 20D60 PDF BibTeX XML Cite \textit{S. K. Muhie} and \textit{F. G. Russo}, Int. J. Group Theory 10, No. 3, 125--135 (2021; Zbl 07324045) Full Text: DOI
Huguin, Valentin Simultaneously preperiodic integers for quadratic polynomials. (English) Zbl 07319062 New York J. Math. 27, 363-378 (2021). MSC: 37F10 37F46 37P35 PDF BibTeX XML Cite \textit{V. Huguin}, New York J. Math. 27, 363--378 (2021; Zbl 07319062) Full Text: Link
Zhai, Wenguang Corrigendum to: “On a sum involving the Euler function”. (English) Zbl 07318745 J. Number Theory 222, 423-425 (2021). MSC: 11L05 11N37 PDF BibTeX XML Cite \textit{W. Zhai}, J. Number Theory 222, 423--425 (2021; Zbl 07318745) Full Text: DOI
Xue, Jiang Wei; Yu, Chia Fu On counting certain abelian varieties over finite fields. (English) Zbl 07314984 Acta Math. Sin., Engl. Ser. 37, No. 1, 205-228 (2021). MSC: 11R52 11R58 PDF BibTeX XML Cite \textit{J. W. Xue} and \textit{C. F. Yu}, Acta Math. Sin., Engl. Ser. 37, No. 1, 205--228 (2021; Zbl 07314984) Full Text: DOI
Ahmad, Sk. Safique; Ali, Istkhar; Slapničar, Ivan Perturbation analysis of matrices over a quaternion division algebra. (English) Zbl 07311977 ETNA, Electron. Trans. Numer. Anal. 54, 128-149 (2021). MSC: 15A18 15A66 15B33 15A45 47A55 11R52 PDF BibTeX XML Cite \textit{Sk. S. Ahmad} et al., ETNA, Electron. Trans. Numer. Anal. 54, 128--149 (2021; Zbl 07311977) Full Text: DOI Link
Li, Hongjian; Yuan, Pingzhi; Bai, Hairong Positive rational numbers of the form \(\varphi(m^2)/\varphi(n^2)\). (English) Zbl 07310958 Am. Math. Mon. 128, No. 2, 174-176 (2021). MSC: 11A25 11D85 PDF BibTeX XML Cite \textit{H. Li} et al., Am. Math. Mon. 128, No. 2, 174--176 (2021; Zbl 07310958) Full Text: DOI
Kiss, Tibor On the balancing property of Matkowski means. (English) Zbl 07310554 Aequationes Math. 95, No. 1, 75-89 (2021). Reviewer: Jacek Chmieliński (Kraków) MSC: 39B22 26E60 PDF BibTeX XML Cite \textit{T. Kiss}, Aequationes Math. 95, No. 1, 75--89 (2021; Zbl 07310554) Full Text: DOI
Mérai, László; Shparlinski, Igor E. On the dynamical system generated by the Möbius transformation at prime times. (English) Zbl 07307671 Res. Math. Sci. 8, No. 1, Paper No. 10, 13 p. (2021). MSC: 11L07 11N60 11T23 37P05 PDF BibTeX XML Cite \textit{L. Mérai} and \textit{I. E. Shparlinski}, Res. Math. Sci. 8, No. 1, Paper No. 10, 13 p. (2021; Zbl 07307671) Full Text: DOI
Ichikawa, Takashi An explicit formula of the normalized Mumford form. (English) Zbl 1455.14057 Lett. Math. Phys. 111, No. 1, Paper No. 2, 13 p. (2021). MSC: 14H10 14H15 32G15 14H25 14G40 14G20 14H42 81T30 PDF BibTeX XML Cite \textit{T. Ichikawa}, Lett. Math. Phys. 111, No. 1, Paper No. 2, 13 p. (2021; Zbl 1455.14057) Full Text: DOI
Bell, Jason P.; Nguyen, Khoa D. An analogue of Ruzsa’s conjecture for polynomials over finite fields. (English) Zbl 07304650 J. Comb. Theory, Ser. A 178, Article ID 105337, 12 p. (2021). MSC: 11T55 11T06 11A25 11B75 PDF BibTeX XML Cite \textit{J. P. Bell} and \textit{K. D. Nguyen}, J. Comb. Theory, Ser. A 178, Article ID 105337, 12 p. (2021; Zbl 07304650) Full Text: DOI
Chern, Shane Correction to: “Note on sums involving the Euler function”. (English) Zbl 07302549 Bull. Aust. Math. Soc. 103, No. 1, 174-175 (2021). MSC: 11A25 11L07 PDF BibTeX XML Cite \textit{S. Chern}, Bull. Aust. Math. Soc. 103, No. 1, 174--175 (2021; Zbl 07302549) Full Text: DOI
Ye, Dongxi A remark on the average number of divisors of a quadratic polynomial. (English) Zbl 07302507 Arch. Math. 116, No. 1, 49-59 (2021). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11L07 PDF BibTeX XML Cite \textit{D. Ye}, Arch. Math. 116, No. 1, 49--59 (2021; Zbl 07302507) Full Text: DOI
Fernández, José L.; Fernández, Pablo Divisibility properties of random samples of integers. (English) Zbl 07301022 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 26, 35 p. (2021). MSC: 11K65 11N37 11A25 60E05 PDF BibTeX XML Cite \textit{J. L. Fernández} and \textit{P. Fernández}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 26, 35 p. (2021; Zbl 07301022) Full Text: DOI
Mesnager, Sihem; Su, Sihong; Zhang, Hui A construction method of balanced rotation symmetric Boolean functions on arbitrary even number of variables with optimal algebraic immunity. (English) Zbl 07300828 Des. Codes Cryptography 89, No. 1, 1-17 (2021). MSC: 94C10 14G50 94A60 94B27 94B40 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Des. Codes Cryptography 89, No. 1, 1--17 (2021; Zbl 07300828) Full Text: DOI
Smit, Harry \(L\)-series and isomorphisms of number fields. (English) Zbl 07300436 J. Number Theory 221, 339-357 (2021). MSC: 11R37 11R42 PDF BibTeX XML Cite \textit{H. Smit}, J. Number Theory 221, 339--357 (2021; Zbl 07300436) Full Text: DOI
Chen, Rui; Chen, Zhuo; Hu, Chuangqiang A modular interpretation of BBGS towers. (English) Zbl 07300428 J. Number Theory 221, 143-173 (2021). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11R58 14Q05 14H05 PDF BibTeX XML Cite \textit{R. Chen} et al., J. Number Theory 221, 143--173 (2021; Zbl 07300428) Full Text: DOI
Shi, Ruxi Construction of some Chowla sequences. (English) Zbl 07300281 Monatsh. Math. 194, No. 1, 193-224 (2021). Reviewer: Hasan Akin (Gaziantep) MSC: 37A44 11J71 11N37 37B10 37B40 PDF BibTeX XML Cite \textit{R. Shi}, Monatsh. Math. 194, No. 1, 193--224 (2021; Zbl 07300281) Full Text: DOI
Platt, David J.; Trudgian, Timothy S. The error term in the prime number theorem. (English) Zbl 07298458 Math. Comput. 90, No. 328, 871-881 (2021). MSC: 11N05 11N56 11M06 PDF BibTeX XML Cite \textit{D. J. Platt} and \textit{T. S. Trudgian}, Math. Comput. 90, No. 328, 871--881 (2021; Zbl 07298458) Full Text: DOI
Chu, Hùng Việt What’s special about the perfect number 6? (English) Zbl 1456.00003 Am. Math. Mon. 128, No. 1, 87 (2021). MSC: 00A08 11A25 97F60 PDF BibTeX XML Cite \textit{H. V. Chu}, Am. Math. Mon. 128, No. 1, 87 (2021; Zbl 1456.00003) Full Text: DOI
Bridy, Andrew; Doyle, John R.; Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J. Finite index theorems for iterated Galois groups of unicritical polynomials. (English) Zbl 1457.37114 Trans. Am. Math. Soc. 374, No. 1, 733-752 (2021). MSC: 37P15 37P05 37P30 11G50 11R32 14G25 PDF BibTeX XML Cite \textit{A. Bridy} et al., Trans. Am. Math. Soc. 374, No. 1, 733--752 (2021; Zbl 1457.37114) Full Text: DOI
Roy, Arindam; Vatwani, Akshaa Zeros of Dirichlet polynomials. (English) Zbl 07288867 Trans. Am. Math. Soc. 374, No. 1, 643-661 (2021). MSC: 11M41 11M26 11N64 PDF BibTeX XML Cite \textit{A. Roy} and \textit{A. Vatwani}, Trans. Am. Math. Soc. 374, No. 1, 643--661 (2021; Zbl 07288867) Full Text: DOI
Sheydvasser, Arseniy (Senia) The twisted Euclidean algorithm: applications to number theory and geometry. (English) Zbl 07286505 J. Algebra 569, 823-855 (2021). MSC: 11Y40 11R52 20G30 51M10 PDF BibTeX XML Cite \textit{A. Sheydvasser}, J. Algebra 569, 823--855 (2021; Zbl 07286505) Full Text: DOI
Bruns, Winfried; García-Sánchez, Pedro A.; Moci, Luca The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids. (English) Zbl 07286488 J. Algebra 569, 377-400 (2021). MSC: 06A06 06A07 05B35 PDF BibTeX XML Cite \textit{W. Bruns} et al., J. Algebra 569, 377--400 (2021; Zbl 07286488) Full Text: DOI
Weber, Michel Jean Georges An extension of a result of Erdős and Zaremba. (English) Zbl 07286322 Glasg. Math. J. 63, No. 1, 193-222 (2021). MSC: 11D57 11A05 11A25 PDF BibTeX XML Cite \textit{M. J. G. Weber}, Glasg. Math. J. 63, No. 1, 193--222 (2021; Zbl 07286322) Full Text: DOI
Freund, Anton; Rathjen, Michael Derivatives of normal functions in reverse mathematics. (English) Zbl 07285677 Ann. Pure Appl. Logic 172, No. 2, Article ID 102890, 50 p. (2021). MSC: 03F15 03F35 03D60 03E10 PDF BibTeX XML Cite \textit{A. Freund} and \textit{M. Rathjen}, Ann. Pure Appl. Logic 172, No. 2, Article ID 102890, 50 p. (2021; Zbl 07285677) Full Text: DOI
Grbac, Neven; Schwermer, Joachim Eisenstein series for rank one unitary groups and some cohomological applications. (English) Zbl 07282541 Adv. Math. 376, Article ID 107438, 49 p. (2021). Reviewer: Anton Deitmar (Tübingen) MSC: 11F75 11M36 PDF BibTeX XML Cite \textit{N. Grbac} and \textit{J. Schwermer}, Adv. Math. 376, Article ID 107438, 49 p. (2021; Zbl 07282541) Full Text: DOI
Hu, Guangwei; Lü, Guangshi Sums of higher divisor functions. (English) Zbl 07276975 J. Number Theory 220, 61-74 (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11E25 11P55 PDF BibTeX XML Cite \textit{G. Hu} and \textit{G. Lü}, J. Number Theory 220, 61--74 (2021; Zbl 07276975) Full Text: DOI
Garcia, Stephan Ramon; Udell, Gabe; Yu, Jiahui Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples. (English) Zbl 07276957 J. Number Theory 219, 212-227 (2021). MSC: 11A07 11A41 11N05 11N37 11N56 PDF BibTeX XML Cite \textit{S. R. Garcia} et al., J. Number Theory 219, 212--227 (2021; Zbl 07276957) Full Text: DOI
Yang, Zhen-Hang; Tian, Jing-Feng; Zhu, Ya-Ru A sharp lower bound for the complete elliptic integrals of the first kind. (English) Zbl 1455.33014 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 8, 16 p. (2021). Reviewer: István Mező (Nanjing) MSC: 33E05 26E60 40A99 41A21 PDF BibTeX XML Cite \textit{Z.-H. Yang} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 8, 16 p. (2021; Zbl 1455.33014) Full Text: DOI
Djanković, Goran; Đokić, Dragan; Lelas, Nikola; Vrećica, Ilija The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields. (English) Zbl 07257233 J. Number Theory 218, 334-369 (2021). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M38 11T06 11M50 14G10 11T55 PDF BibTeX XML Cite \textit{G. Djanković} et al., J. Number Theory 218, 334--369 (2021; Zbl 07257233) Full Text: DOI
Fukasawa, Satoru; Higashine, Kazuki A birational embedding with two Galois points for quotient curves. (English) Zbl 1443.14037 J. Pure Appl. Algebra 225, No. 3, Article ID 106525, 10 p. (2021). MSC: 14H50 14H05 14H37 11G20 11R58 PDF BibTeX XML Cite \textit{S. Fukasawa} and \textit{K. Higashine}, J. Pure Appl. Algebra 225, No. 3, Article ID 106525, 10 p. (2021; Zbl 1443.14037) Full Text: DOI
Govc, Dejan; Hepworth, Richard Persistent magnitude. (English) Zbl 1457.55004 J. Pure Appl. Algebra 225, No. 3, Article ID 106517, 40 p. (2021). Reviewer: Henri Riihimäki (Aberdeen) MSC: 55N99 55N35 55N31 51F99 11A25 PDF BibTeX XML Cite \textit{D. Govc} and \textit{R. Hepworth}, J. Pure Appl. Algebra 225, No. 3, Article ID 106517, 40 p. (2021; Zbl 1457.55004) Full Text: DOI
Pollack, Paul Multiplicative partitions of numbers with a large squarefree divisor. (English) Zbl 07345289 Ramanujan J. 53, No. 3, 595-605 (2020). MSC: 11A51 11N32 11N56 11N64 PDF BibTeX XML Cite \textit{P. Pollack}, Ramanujan J. 53, No. 3, 595--605 (2020; Zbl 07345289) Full Text: DOI
Wang, Yujie; Ji, Chungang A generalization of Arai-Carlitz’s identity. (English) Zbl 07345288 Ramanujan J. 53, No. 3, 585-594 (2020). MSC: 11R04 11A25 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{C. Ji}, Ramanujan J. 53, No. 3, 585--594 (2020; Zbl 07345288) Full Text: DOI
Dubbe, Thomas Explicit bound of the divisor function. (English) Zbl 07344691 Funct. Approximatio, Comment. Math. 63, No. 1, 133-136 (2020). MSC: 11A25 11N37 PDF BibTeX XML Cite \textit{T. Dubbe}, Funct. Approximatio, Comment. Math. 63, No. 1, 133--136 (2020; Zbl 07344691) Full Text: DOI Euclid
Saïas, Éric; Seip, Kristian A footnote to a theorem of Halász. (English) Zbl 07344690 Funct. Approximatio, Comment. Math. 63, No. 1, 125-131 (2020). MSC: 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11N64 PDF BibTeX XML Cite \textit{É. Saïas} and \textit{K. Seip}, Funct. Approximatio, Comment. Math. 63, No. 1, 125--131 (2020; Zbl 07344690) Full Text: DOI Euclid
Ghosh, Arindam; Prakash, Om Jordan left \(\{g, h\}\)-derivation over some algebras. (English) Zbl 07344134 Indian J. Pure Appl. Math. 51, No. 4, 1433-1450 (2020). MSC: 16W10 16W25 47L35 11R52 PDF BibTeX XML Cite \textit{A. Ghosh} and \textit{O. Prakash}, Indian J. Pure Appl. Math. 51, No. 4, 1433--1450 (2020; Zbl 07344134) Full Text: DOI
Tenenbaum, Gérald Correction to: “Moyennes effectives de fonctions multiplicatives complexes”. (English) Zbl 07343723 Ramanujan J. 53, No. 1, 243-244 (2020). MSC: 11N56 11K65 11N37 11N60 11N64 PDF BibTeX XML Cite \textit{G. Tenenbaum}, Ramanujan J. 53, No. 1, 243--244 (2020; Zbl 07343723) Full Text: DOI
Zhang, Wei Some results on divisor problems related to cusp forms. (English) Zbl 07343715 Ramanujan J. 53, No. 1, 75-83 (2020). MSC: 11N37 11F70 PDF BibTeX XML Cite \textit{W. Zhang}, Ramanujan J. 53, No. 1, 75--83 (2020; Zbl 07343715) Full Text: DOI
Kahlig, Peter; Matkowski, Janusz Generalization of the harmonic weighted mean via Pythagorean invariance identity and application. (English) Zbl 07342909 Ann. Math. Sil. 34, No. 1, 104-122 (2020). MSC: 26E60 39B12 39B22 PDF BibTeX XML Cite \textit{P. Kahlig} and \textit{J. Matkowski}, Ann. Math. Sil. 34, No. 1, 104--122 (2020; Zbl 07342909) Full Text: DOI
Chen, Lei; Zielinska, Teresa; Wang, Jikun; Ge, Weimin Solution of an inverse kinematics problem using dual quaternions. (English) Zbl 07342356 Int. J. Appl. Math. Comput. Sci. 30, No. 2, 351-361 (2020). MSC: 93C85 11R52 PDF BibTeX XML Cite \textit{L. Chen} et al., Int. J. Appl. Math. Comput. Sci. 30, No. 2, 351--361 (2020; Zbl 07342356) Full Text: DOI
Lu, Guoxiang A new refinement of Jensen’s inequality and its applications. (Chinese. English summary) Zbl 07339362 Math. Pract. Theory 50, No. 17, 223-230 (2020). MSC: 26D15 26B25 PDF BibTeX XML Cite \textit{G. Lu}, Math. Pract. Theory 50, No. 17, 223--230 (2020; Zbl 07339362)
Dutta, Parama; Saikia, Manjil P. Deficient perfect numbers with four distinct prime factors. (English) Zbl 07337319 Asian-Eur. J. Math. 13, No. 7, Article ID 2050126, 13 p. (2020). MSC: 11A25 11A41 11B99 PDF BibTeX XML Cite \textit{P. Dutta} and \textit{M. P. Saikia}, Asian-Eur. J. Math. 13, No. 7, Article ID 2050126, 13 p. (2020; Zbl 07337319) Full Text: DOI
Piórek, Michał; Jabłoński, Bartosz A quaternion clustering framework. (English) Zbl 07336381 Int. J. Appl. Math. Comput. Sci. 30, No. 1, 133-147 (2020). MSC: 62H30 62R07 62P10 11R52 PDF BibTeX XML Cite \textit{M. Piórek} and \textit{B. Jabłoński}, Int. J. Appl. Math. Comput. Sci. 30, No. 1, 133--147 (2020; Zbl 07336381) Full Text: DOI
Howe, Sean Motivic random variables and representation stability. I: Configuration spaces. (English) Zbl 07334586 Algebr. Geom. Topol. 20, No. 6, 3013-3045 (2020). MSC: 14G10 18F30 55R80 PDF BibTeX XML Cite \textit{S. Howe}, Algebr. Geom. Topol. 20, No. 6, 3013--3045 (2020; Zbl 07334586) Full Text: DOI
Jiang, Bang Xin; Liu, Yang; Kou, Kit Ian; Wang, Zhen Controllability and observability of linear quaternion-valued systems. (English) Zbl 07334469 Acta Math. Sin., Engl. Ser. 36, No. 11, 1299-1314 (2020). MSC: 93B05 93B07 93C05 11R52 PDF BibTeX XML Cite \textit{B. X. Jiang} et al., Acta Math. Sin., Engl. Ser. 36, No. 11, 1299--1314 (2020; Zbl 07334469) Full Text: DOI
Chum, K.; Guy, Richard Kenneth; Jacobson, Michael John jun.; Mosunov, A. S. Numerical and statistical analysis of aliquot sequences. (English) Zbl 07330980 Exp. Math. 29, No. 4, 414-425 (2020). MSC: 11Y55 11B83 11A25 PDF BibTeX XML Cite \textit{K. Chum} et al., Exp. Math. 29, No. 4, 414--425 (2020; Zbl 07330980) Full Text: DOI
Kunzweiler, Sabrina Differential forms on hyperelliptic curves with semistable reduction. (English) Zbl 07329837 Res. Number Theory 6, No. 2, Paper No. 25, 17 p. (2020). MSC: 11G20 14H25 11G40 PDF BibTeX XML Cite \textit{S. Kunzweiler}, Res. Number Theory 6, No. 2, Paper No. 25, 17 p. (2020; Zbl 07329837) Full Text: DOI
Ntienjem, Ebénézer Evaluation of convolution sums entailing mixed divisor functions for a class of levels. (English) Zbl 07328079 N. Z. J. Math. 50, 125-180 (2020). MSC: 11A25 11F11 11F20 11E20 11E25 11F27 PDF BibTeX XML Cite \textit{E. Ntienjem}, N. Z. J. Math. 50, 125--180 (2020; Zbl 07328079) Full Text: Link
Galatolo, Stefano; Monge, Maurizio; Nisoli, Isaia Existence of noise induced order, a computer aided proof. (English) Zbl 07327536 Nonlinearity 33, No. 9, 4237-4276 (2020). MSC: 37H99 37M25 65G30 92E20 37C30 PDF BibTeX XML Cite \textit{S. Galatolo} et al., Nonlinearity 33, No. 9, 4237--4276 (2020; Zbl 07327536) Full Text: DOI
de Jong, Robin Frobenius’ theta function and Arakelov invariants in genus three. (English) Zbl 07326729 Pure Appl. Math. Q. 16, No. 5, 1387-1418 (2020). MSC: 14H15 11G50 14G40 14H40 14H42 14H45 PDF BibTeX XML Cite \textit{R. de Jong}, Pure Appl. Math. Q. 16, No. 5, 1387--1418 (2020; Zbl 07326729) Full Text: DOI
Kafle, Bir; Luca, Florian; Togbé, Alain Pentagonal and heptagonal repdigits. (English) Zbl 07326521 Ann. Math. Inform. 52, 137-145 (2020). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{B. Kafle} et al., Ann. Math. Inform. 52, 137--145 (2020; Zbl 07326521) Full Text: DOI
Cerda-Morales, Gamaliel A note on dual third-order Jacobsthal vectors. (English) Zbl 07326515 Ann. Math. Inform. 52, 57-70 (2020). MSC: 11B39 11R52 05A15 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Ann. Math. Inform. 52, 57--70 (2020; Zbl 07326515) Full Text: DOI
Debruyne, Gregory Beurling numbers whose number of prime factors lies in a specified residue class. (English) Zbl 07324301 Acta Arith. 196, No. 4, 433-438 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N25 11N37 11N80 PDF BibTeX XML Cite \textit{G. Debruyne}, Acta Arith. 196, No. 4, 433--438 (2020; Zbl 07324301) Full Text: DOI
Chhaibi, Reda; Delbaen, Freddy; Méliot, Pierre-Loïc; Nikeghbali, Ashkan Mod-\(\phi\) convergence: approximation of discrete measures and harmonic analysis on the torus. (Convergence mod-\( \phi\) : approximation de mesures discrètes et analyse harmonique sur le tore.) (English. French summary) Zbl 07323463 Ann. Inst. Fourier 70, No. 3, 1115-1197 (2020). MSC: 62E17 62E20 60E10 11N37 11N45 PDF BibTeX XML Cite \textit{R. Chhaibi} et al., Ann. Inst. Fourier 70, No. 3, 1115--1197 (2020; Zbl 07323463) Full Text: DOI
Hyde, Trevor Polynomial factorization statistics and point configurations in \(\mathbb{R}^3\). (English) Zbl 07323443 Int. Math. Res. Not. 2020, No. 24, 10154-10179 (2020). MSC: 05E10 05A15 05A17 14N15 11N37 PDF BibTeX XML Cite \textit{T. Hyde}, Int. Math. Res. Not. 2020, No. 24, 10154--10179 (2020; Zbl 07323443) Full Text: DOI
Dwivedi, Ashish; Saxena, Nitin Computing Igusa’s local zeta function of univariates in deterministic polynomial-time. (English) Zbl 1457.11166 Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 197-214 (2020). MSC: 11S40 68Q01 68W30 11Y16 14G50 PDF BibTeX XML Cite \textit{A. Dwivedi} and \textit{N. Saxena}, Open Book Ser. 4, 197--214 (2020; Zbl 1457.11166) Full Text: DOI
Loughran, Daniel; Trepalin, Andrey Inverse Galois problem for del Pezzo surfaces over finite fields. (English) Zbl 1457.14055 Math. Res. Lett. 27, No. 3, 845-853 (2020). MSC: 14G15 12F12 14J26 14G10 11G25 14J20 PDF BibTeX XML Cite \textit{D. Loughran} and \textit{A. Trepalin}, Math. Res. Lett. 27, No. 3, 845--853 (2020; Zbl 1457.14055) Full Text: DOI
Pollack, Paul The maximal size of the \(k\)-fold divisor function for very large \(k\). (English) Zbl 07316793 J. Ramanujan Math. Soc. 35, No. 4, 341-345 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N56 11N37 11N64 PDF BibTeX XML Cite \textit{P. Pollack}, J. Ramanujan Math. Soc. 35, No. 4, 341--345 (2020; Zbl 07316793) Full Text: Link