Chahal, Bittu; Chaubey, Sneha; Goel, Shivani On the distribution of index of Farey sequences. (English) Zbl 07818541 Res. Number Theory 10, No. 2, Paper No. 27, 34 p. (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11B57 11N37 11N69 PDFBibTeX XMLCite \textit{B. Chahal} et al., Res. Number Theory 10, No. 2, Paper No. 27, 34 p. (2024; Zbl 07818541) Full Text: DOI arXiv
Zhang, Bo; Wang, Jiankang; Su, Yongli; Xu, Zhefeng Representations of element as sum of primitive root and Lehmer number in \(\mathbb{Z}_p\). (English) Zbl 07811257 J. Math. Inequal. 17, No. 4, 1323-1333 (2023). MSC: 11A07 11N69 11L05 PDFBibTeX XMLCite \textit{B. Zhang} et al., J. Math. Inequal. 17, No. 4, 1323--1333 (2023; Zbl 07811257) Full Text: DOI
Zhang, Jiafan On the distribution of primitive roots and Lehmer numbers. (English) Zbl 07804433 Electron. Res. Arch. 31, No. 11, 6913-6927 (2023). MSC: 11A07 11L05 11N69 PDFBibTeX XMLCite \textit{J. Zhang}, Electron. Res. Arch. 31, No. 11, 6913--6927 (2023; Zbl 07804433) Full Text: DOI
Filaseta, Michael; Groth, Robert; Luckner, Thomas Generalized Sierpiński numbers. (English) Zbl 07797580 Colloq. Math. 174, No. 2, 191-201 (2023). Reviewer: Amin Witno (Amman) MSC: 11A07 11B25 11N13 PDFBibTeX XMLCite \textit{M. Filaseta} et al., Colloq. Math. 174, No. 2, 191--201 (2023; Zbl 07797580) Full Text: DOI arXiv
Ding, Pengyong On a variance associated with the distribution of real sequences in arithmetic progressions. (English) Zbl 07771592 Acta Arith. 211, No. 3, 229-263 (2023). MSC: 11N64 11P55 PDFBibTeX XMLCite \textit{P. Ding}, Acta Arith. 211, No. 3, 229--263 (2023; Zbl 07771592) Full Text: DOI
Tissin, A. S. The number of occurrences of elements from a given subset on the complication segments of linear recurrence sequences. (Russian. English summary) Zbl 1523.11173 Prikl. Diskretn. Mat. 2023, No. 60, 30-39 (2023). MSC: 11N69 11T99 11B37 PDFBibTeX XMLCite \textit{A. S. Tissin}, Prikl. Diskretn. Mat. 2023, No. 60, 30--39 (2023; Zbl 1523.11173) Full Text: DOI MNR
Klurman, Oleksiy; Mangerel, Alexander P.; Teräväinen, Joni Multiplicative functions in short arithmetic progressions. (English) Zbl 07740478 Proc. Lond. Math. Soc. (3) 127, No. 2, 366-446 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N64 11N13 PDFBibTeX XMLCite \textit{O. Klurman} et al., Proc. Lond. Math. Soc. (3) 127, No. 2, 366--446 (2023; Zbl 07740478) Full Text: DOI arXiv OA License
Tangsupphathawat, Pinthira; Srichan, Teerapat; Laohakosol, Vichian Distribution of \(r\)-free integers over a floor function set. (English) Zbl 07734858 Bull. Aust. Math. Soc. 108, No. 1, 107-113 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N64 11N69 PDFBibTeX XMLCite \textit{P. Tangsupphathawat} et al., Bull. Aust. Math. Soc. 108, No. 1, 107--113 (2023; Zbl 07734858) Full Text: DOI
Srichan, T. On a sum involving certain arithmetic functions on Piatetski-Shapiro and Beatty sequences. (English) Zbl 07724927 Probl. Anal. Issues Anal. 12(30), No. 1, 87-95 (2023). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11N69 PDFBibTeX XMLCite \textit{T. Srichan}, Probl. Anal. Issues Anal. 12(30), No. 1, 87--95 (2023; Zbl 07724927) Full Text: DOI MNR
Karthick Babu, C. G.; Sahu, Sehra Non primitive roots with a prescribed residue pattern. (English) Zbl 1528.11093 Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 9, 12 p. (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11N13 11L20 11R11 11R18 11N69 PDFBibTeX XMLCite \textit{C. G. Karthick Babu} and \textit{S. Sahu}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 9, 12 p. (2023; Zbl 1528.11093) Full Text: DOI
Balasubramanian, Ramachandran; Ramaré, Olivier; Srivastav, Priyamvad Explicit bounds for products of primes in AP. (English) Zbl 07689735 Math. Comput. 92, No. 343, 2381-2411 (2023). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11N13 11A41 11N37 11B13 PDFBibTeX XMLCite \textit{R. Balasubramanian} et al., Math. Comput. 92, No. 343, 2381--2411 (2023; Zbl 07689735) Full Text: DOI
Feng, Yulu; Hong, Shaofang On the sums of squares of exceptional units in residue class rings. (English) Zbl 07672187 Period. Math. Hung. 86, No. 1, 239-248 (2023). Reviewer: Thomas B. Ward (Durham) MSC: 11B13 11L03 11L05 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{S. Hong}, Period. Math. Hung. 86, No. 1, 239--248 (2023; Zbl 07672187) Full Text: DOI arXiv
Tangsupphathawat, Pinthira; Srichan, Teerapat; Laohakosol, Vichian Character sums over generalized square-full integers and applications. (English) Zbl 1507.11074 J. Anal. 31, No. 1, 733-745 (2023). MSC: 11L40 11A07 11N37 11N69 PDFBibTeX XMLCite \textit{P. Tangsupphathawat} et al., J. Anal. 31, No. 1, 733--745 (2023; Zbl 1507.11074) Full Text: DOI
Balasubramanian, Ramachandran; Ramaré, Olivier; Srivastav, Priyamvad Product of three primes in large arithmetic progressions. (English) Zbl 1516.11089 Int. J. Number Theory 19, No. 4, 843-857 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N13 11A41 11N37 11B13 PDFBibTeX XMLCite \textit{R. Balasubramanian} et al., Int. J. Number Theory 19, No. 4, 843--857 (2023; Zbl 1516.11089) Full Text: DOI arXiv
Karthick Babu, C. G.; Mukhopadhyay, Anirban; Sankaranarayanan, A. Residue pattern for infinitely many primes. (English) Zbl 1520.11005 Int. J. Number Theory 19, No. 3, 511-529 (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11A15 11B83 11N13 PDFBibTeX XMLCite \textit{C. G. Karthick Babu} et al., Int. J. Number Theory 19, No. 3, 511--529 (2023; Zbl 1520.11005) Full Text: DOI
Ding, Yuchen On a conjecture of Ramírez Alfonsín and Skałba. (English) Zbl 1514.11056 J. Number Theory 245, 292-302 (2023). Reviewer: László Tóth (Pécs) MSC: 11N05 11N13 PDFBibTeX XMLCite \textit{Y. Ding}, J. Number Theory 245, 292--302 (2023; Zbl 1514.11056) Full Text: DOI
Roy, Akash Singha Joint distribution in residue classes of families of polynomially-defined additive functions. arXiv:2401.00892 Preprint, arXiv:2401.00892 [math.NT] (2023). MSC: 11A25 11N36 11N37 11N64 11N69 BibTeX Cite \textit{A. S. Roy}, ``Joint distribution in residue classes of families of polynomially-defined additive functions'', Preprint, arXiv:2401.00892 [math.NT] (2023) Full Text: arXiv OA License
Roy, Akash Singha Joint distribution in residue classes of families of polynomially-defined multiplicative functions. arXiv:2401.00358 Preprint, arXiv:2401.00358 [math.NT] (2023). MSC: 11A25 11N36 11N37 11N64 11N69 BibTeX Cite \textit{A. S. Roy}, ``Joint distribution in residue classes of families of polynomially-defined multiplicative functions'', Preprint, arXiv:2401.00358 [math.NT] (2023) Full Text: arXiv OA License
Saito, Kota; Suzuki, Yuta; Takeda, Wataru; Yoshida, Yuuya Some remarks on the \([x/n]\)-sequence. arXiv:2312.15642 Preprint, arXiv:2312.15642 [math.NT] (2023). MSC: 11N37 11N25 11N69 11L03 11L07 BibTeX Cite \textit{K. Saito} et al., ``Some remarks on the $[x/n]$-sequence'', Preprint, arXiv:2312.15642 [math.NT] (2023) Full Text: arXiv OA License
Kobayashi, Hirotaka; Suzuki, Yuta; Umezawa, Ryota Counting relatively prime pairs of palindromes. arXiv:2311.15002 Preprint, arXiv:2311.15002 [math.NT] (2023). MSC: 11A63 11A05 11N25 11N69 BibTeX Cite \textit{H. Kobayashi} et al., ``Counting relatively prime pairs of palindromes'', Preprint, arXiv:2311.15002 [math.NT] (2023) Full Text: arXiv OA License
Roy, Akash Singha Mean values of multiplicative functions and applications to the distribution of the sum of divisors. arXiv:2311.04324 Preprint, arXiv:2311.04324 [math.NT] (2023). MSC: 11A25 11N36 11N37 11N64 11N69 BibTeX Cite \textit{A. S. Roy}, ``Mean values of multiplicative functions and applications to the distribution of the sum of divisors'', Preprint, arXiv:2311.04324 [math.NT] (2023) Full Text: arXiv OA License
Schlitt, Jeremy Biases Towards the Zero Residue Class for Quadratic Forms in Arithmetic Progressions. arXiv:2308.13959 Preprint, arXiv:2308.13959 [math.NT] (2023). MSC: 11N25 11E16 11E25 11N69 11Y70 BibTeX Cite \textit{J. Schlitt}, ``Biases Towards the Zero Residue Class for Quadratic Forms in Arithmetic Progressions'', Preprint, arXiv:2308.13959 [math.NT] (2023) Full Text: arXiv OA License
Nunes, Ramon M. Moments of the distribution of \(k\)-free numbers in short intervals and arithmetic progressions. (English) Zbl 07729897 Bull. Lond. Math. Soc. 54, No. 4, 1282-1298 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N69 PDFBibTeX XMLCite \textit{R. M. Nunes}, Bull. Lond. Math. Soc. 54, No. 4, 1282--1298 (2022; Zbl 07729897) Full Text: DOI arXiv
Banks, William; Shparlinski, Igor On a conjecture of Soundararajan. (English) Zbl 1523.11166 Bull. Lond. Math. Soc. 54, No. 1, 301-317 (2022). MSC: 11N25 11N69 11M20 PDFBibTeX XMLCite \textit{W. Banks} and \textit{I. Shparlinski}, Bull. Lond. Math. Soc. 54, No. 1, 301--317 (2022; Zbl 1523.11166) Full Text: DOI arXiv
Alexandru, Victor; Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru Statistical distribution of Fermat quotients. (English) Zbl 1504.11008 Chaos Solitons Fractals 161, Article ID 112335, 6 p. (2022). MSC: 11A07 11L40 11D41 11N69 11N25 PDFBibTeX XMLCite \textit{V. Alexandru} et al., Chaos Solitons Fractals 161, Article ID 112335, 6 p. (2022; Zbl 1504.11008) Full Text: DOI
Yu, Yahui; Wu, Jie Distribution of elements of a floor function set in arithmetical progressions. (English) Zbl 1509.11076 Bull. Aust. Math. Soc. 106, No. 3, 419-424 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 11N69 PDFBibTeX XMLCite \textit{Y. Yu} and \textit{J. Wu}, Bull. Aust. Math. Soc. 106, No. 3, 419--424 (2022; Zbl 1509.11076) Full Text: DOI arXiv
David, Chantal; Devin, Lucile; Nam, Jungbae; Schlitt, Jeremy Lemke Oliver and Soundararajan bias for consecutive sums of two squares. (English) Zbl 1514.11057 Math. Ann. 384, No. 3-4, 1181-1242 (2022). Reviewer: Prapanpong Pongsriiam (Nakhon Pathom) MSC: 11N25 11N69 11P55 PDFBibTeX XMLCite \textit{C. David} et al., Math. Ann. 384, No. 3--4, 1181--1242 (2022; Zbl 1514.11057) Full Text: DOI arXiv Backlinks: MO
Chen, Shi-Qiang On certain properties of partitions of \(\mathbb{Z}^m\) with the same representation function. II. (English) Zbl 1513.11019 Period. Math. Hung. 85, No. 1, 177-187 (2022). Reviewer: Stefano Capparelli (Roma) MSC: 11B13 11B34 PDFBibTeX XMLCite \textit{S.-Q. Chen}, Period. Math. Hung. 85, No. 1, 177--187 (2022; Zbl 1513.11019) Full Text: DOI
Fouvry, Etienne; Radziwill, Maksym Level of distribution of unbalanced convolutions. (English. French summary) Zbl 1517.11125 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 2, 537-568 (2022). Reviewer: Gregory Debruyne (Gent) MSC: 11N69 11N25 PDFBibTeX XMLCite \textit{E. Fouvry} and \textit{M. Radziwill}, Ann. Sci. Éc. Norm. Supér. (4) 55, No. 2, 537--568 (2022; Zbl 1517.11125) Full Text: DOI arXiv
Järviniemi, Olli Simultaneous insolvability of exponential congruences. (English) Zbl 1503.11131 J. Number Theory 239, 335-351 (2022). Reviewer: Pieter Moree (Bonn) MSC: 11N69 11A07 PDFBibTeX XMLCite \textit{O. Järviniemi}, J. Number Theory 239, 335--351 (2022; Zbl 1503.11131) Full Text: DOI arXiv
Sripayap, Angkana; Ruengsinsub, Pattira; Srichan, Teerapat On generalized square-full numbers in an arithmetic progression. (English) Zbl 07511558 Czech. Math. J. 72, No. 1, 149-163 (2022). MSC: 11B50 11N25 11N69 PDFBibTeX XMLCite \textit{A. Sripayap} et al., Czech. Math. J. 72, No. 1, 149--163 (2022; Zbl 07511558) Full Text: DOI
Jarso, Tamiru; Trudgian, Tim Four consecutive primitive elements in a finite field. (English) Zbl 1512.11094 Math. Comput. 91, No. 335, 1521-1532 (2022). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11T30 11N69 PDFBibTeX XMLCite \textit{T. Jarso} and \textit{T. Trudgian}, Math. Comput. 91, No. 335, 1521--1532 (2022; Zbl 1512.11094) Full Text: DOI arXiv
Zhao, Junyong; Hong, Shaofang; Zhu, Chaoxi Sums of polynomial-type exceptional units modulo \(n\). (English) Zbl 1500.11013 Bull. Aust. Math. Soc. 105, No. 2, 202-211 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B13 11L03 11L05 PDFBibTeX XMLCite \textit{J. Zhao} et al., Bull. Aust. Math. Soc. 105, No. 2, 202--211 (2022; Zbl 1500.11013) Full Text: DOI arXiv
Dartyge, Cécile; Feutrie, David; Tenenbaum, Gérald Ultrafriable integers in arithmetic progressions. (Entiers ultrafriables en progressions arithmétiques.) (French. English summary) Zbl 1502.11099 Q. J. Math. 73, No. 1, 149-174 (2022). Reviewer: Lukas Spiegelhofer (Wien) MSC: 11N25 11N69 PDFBibTeX XMLCite \textit{C. Dartyge} et al., Q. J. Math. 73, No. 1, 149--174 (2022; Zbl 1502.11099) Full Text: DOI arXiv
Pollack, Paul; Roy, Akash Singha Joint distribution in residue classes of polynomial-like multiplicative functions. (English) Zbl 1492.11007 Acta Arith. 202, No. 1, 89-104 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A25 11N36 11N64 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{A. S. Roy}, Acta Arith. 202, No. 1, 89--104 (2022; Zbl 1492.11007) Full Text: DOI arXiv
Martin, Greg; Parvardi, Amir Subproducts of small residue classes. (English) Zbl 1504.11010 Can. Math. Bull. 65, No. 1, 1-8 (2022). Reviewer: Ke Gong (Kaifeng) MSC: 11A07 11L40 PDFBibTeX XMLCite \textit{G. Martin} and \textit{A. Parvardi}, Can. Math. Bull. 65, No. 1, 1--8 (2022; Zbl 1504.11010) Full Text: DOI arXiv
Wannes, Walid Large bias amongst products of two primes. (English) Zbl 1506.11015 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 623-629 (2022). MSC: 11A63 11L03 11N05 11N69 PDFBibTeX XMLCite \textit{W. Wannes}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 623--629 (2022; Zbl 1506.11015) Full Text: DOI
Smirnov, A. A.; Bondar, V. V.; Rozhenko, O. D.; Mirzoyan, M. V.; Darjania, A. D. Mersenne numbers in the bases of systems of residual classes when transmitting data in serial communication channels. (English. Russian original) Zbl 1484.94014 J. Math. Sci., New York 260, No. 2, 241-248 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 166, 87-94 (2019). MSC: 94A17 11A07 11A51 11T71 PDFBibTeX XMLCite \textit{A. A. Smirnov} et al., J. Math. Sci., New York 260, No. 2, 241--248 (2022; Zbl 1484.94014); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 166, 87--94 (2019) Full Text: DOI
Srichan, Teerapat On the distribution of \((k,r)\)-integer in an arithmetic progression. (English) Zbl 1490.11095 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 3, 16 p. (2022). Reviewer: Lukas Spiegelhofer (Wien) MSC: 11N37 11N69 PDFBibTeX XMLCite \textit{T. Srichan}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 3, 16 p. (2022; Zbl 1490.11095) Full Text: DOI
Ripà, Marco The congruence speed formula. arXiv:2208.02622 Preprint, arXiv:2208.02622 [math.NT] (2022). MSC: 11A07 11N13 BibTeX Cite \textit{M. Ripà}, ``The congruence speed formula'', Preprint, arXiv:2208.02622 [math.NT] (2022) Full Text: DOI arXiv OA License
Jeong, Keunyoung; Kim, Jigu; Kim, Taekyung Distribution of root numbers of Hecke characters attached to some elliptic curves. (English) Zbl 1484.11132 Forum Math. 33, No. 3, 653-668 (2021). MSC: 11G05 11G15 11N69 PDFBibTeX XMLCite \textit{K. Jeong} et al., Forum Math. 33, No. 3, 653--668 (2021; Zbl 1484.11132) Full Text: DOI arXiv
Mangerel, Alexander P. Squarefree integers in arithmetic progressions to smooth moduli. (English) Zbl 1482.11125 Forum Math. Sigma 9, Paper No. e72, 47 p. (2021). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N25 11N37 11N69 PDFBibTeX XMLCite \textit{A. P. Mangerel}, Forum Math. Sigma 9, Paper No. e72, 47 p. (2021; Zbl 1482.11125) Full Text: DOI arXiv
Paredes, Marcelo Ill-distributed sets over global fields and exceptional sets in Diophantine geometry. (English) Zbl 1484.11151 Acta Arith. 199, No. 4, 361-382 (2021). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 11G50 11G99 11U09 PDFBibTeX XMLCite \textit{M. Paredes}, Acta Arith. 199, No. 4, 361--382 (2021; Zbl 1484.11151) Full Text: DOI arXiv
Aloui, Karam; Mauduit, Christian; Mkaouar, Mohamed On the correlation of the sum of digits along prime numbers. (English) Zbl 1490.11012 Acta Arith. 199, No. 3, 275-301 (2021). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11A63 11A07 11A41 11L07 11L20 11B50 11L03 11N13 PDFBibTeX XMLCite \textit{K. Aloui} et al., Acta Arith. 199, No. 3, 275--301 (2021; Zbl 1490.11012) Full Text: DOI
Menconi, Juan Manuel; Paredes, Marcelo; Sasyk, Román The inverse sieve problem for algebraic varieties over global fields. (English) Zbl 1483.11132 Rev. Mat. Iberoam. 37, No. 6, 2245-2284 (2021). Reviewer: Lenny Fukshansky (Claremont) MSC: 11G35 11G50 11N35 11N69 14Q20 PDFBibTeX XMLCite \textit{J. M. Menconi} et al., Rev. Mat. Iberoam. 37, No. 6, 2245--2284 (2021; Zbl 1483.11132) Full Text: DOI arXiv
Weingartner, Andreas An extension of the Siegel-Walfisz theorem. (English) Zbl 1484.11189 Proc. Am. Math. Soc. 149, No. 11, 4699-4708 (2021). Reviewer: Gregory Debruyne (Champaign) MSC: 11N25 11N69 PDFBibTeX XMLCite \textit{A. Weingartner}, Proc. Am. Math. Soc. 149, No. 11, 4699--4708 (2021; Zbl 1484.11189) Full Text: DOI arXiv
Järviniemi, Olli Equality of orders of a set of integers modulo a prime. (English) Zbl 1479.11171 Proc. Am. Math. Soc. 149, No. 9, 3651-3668 (2021). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N69 11R47 PDFBibTeX XMLCite \textit{O. Järviniemi}, Proc. Am. Math. Soc. 149, No. 9, 3651--3668 (2021; Zbl 1479.11171) Full Text: DOI arXiv
Kowalski, E.; Soundararajan, K. Equidistribution from the Chinese Remainder Theorem. (English) Zbl 1476.11109 Adv. Math. 385, Article ID 107776, 36 p. (2021). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11A07 11K06 11N69 11A25 PDFBibTeX XMLCite \textit{E. Kowalski} and \textit{K. Soundararajan}, Adv. Math. 385, Article ID 107776, 36 p. (2021; Zbl 1476.11109) Full Text: DOI arXiv
Chen, Shi-Qiang; Yan, Xiao-Hui Partitions of \(\mathbb{Z}_m\) with identical representation function. (English) Zbl 1483.11017 Bull. Aust. Math. Soc. 103, No. 2, 204-209 (2021). Reviewer: Zhi-Wei Sun (Nanjing) MSC: 11B13 11P70 11A07 PDFBibTeX XMLCite \textit{S.-Q. Chen} and \textit{X.-H. Yan}, Bull. Aust. Math. Soc. 103, No. 2, 204--209 (2021; Zbl 1483.11017) Full Text: DOI
He, Zilong; Kane, Ben Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields. (English) Zbl 1460.11063 Res. Number Theory 7, No. 1, Paper No. 10, 17 p. (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F30 11N69 11R11 11E20 PDFBibTeX XMLCite \textit{Z. He} and \textit{B. Kane}, Res. Number Theory 7, No. 1, Paper No. 10, 17 p. (2021; Zbl 1460.11063) Full Text: DOI arXiv
McCarron, James Frobenius Groups with Perfect Order Classes. arXiv:2103.00425 Preprint, arXiv:2103.00425 [math.GR] (2021). MSC: 20D60 20D99 20E45 20E99 11A05 11A07 11D99 BibTeX Cite \textit{J. McCarron}, ``Frobenius Groups with Perfect Order Classes'', Preprint, arXiv:2103.00425 [math.GR] (2021) Full Text: arXiv OA License
Elia, Michele On the Fiber Characters of \(\mathbb F^*_{p^m}\) and related Polynomial Algebras. arXiv:2102.07411 Preprint, arXiv:2102.07411 [math.NT] (2021). MSC: 11A15 11N69 11R32 BibTeX Cite \textit{M. Elia}, ``On the Fiber Characters of $\mathbb F^*_{p^m}$ and related Polynomial Algebras'', Preprint, arXiv:2102.07411 [math.NT] (2021) Full Text: arXiv OA License
De La Bretèche, R.; Fiorilli, D. Friable integers in arithmetic progressions of large modulus. (Entiers friables dans des progressions arithmétiques de grand module.) (French. English summary) Zbl 1479.11165 Math. Proc. Camb. Philos. Soc. 169, No. 1, 75-102 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N25 11B25 11N37 11N69 PDFBibTeX XMLCite \textit{R. De La Bretèche} and \textit{D. Fiorilli}, Math. Proc. Camb. Philos. Soc. 169, No. 1, 75--102 (2020; Zbl 1479.11165) Full Text: DOI arXiv
Srichan, Teerapat The odd/even dichotomy for the set of square-full numbers. (English) Zbl 1462.11079 Appl. Math. E-Notes 20, 528-531 (2020). MSC: 11N69 PDFBibTeX XMLCite \textit{T. Srichan}, Appl. Math. E-Notes 20, 528--531 (2020; Zbl 1462.11079) Full Text: Link
Spiegelhofer, Lukas The level of distribution of the Thue-Morse sequence. (English) Zbl 1468.11206 Compos. Math. 156, No. 12, 2560-2587 (2020). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N69 11B25 11B85 11A63 11K16 11B83 PDFBibTeX XMLCite \textit{L. Spiegelhofer}, Compos. Math. 156, No. 12, 2560--2587 (2020; Zbl 1468.11206) Full Text: DOI arXiv
Baczkowski, Daniel; Blodgett, Aaron Distinct covering systems in number fields. (English) Zbl 1465.11202 Integers 20, Paper A89, 12 p. (2020). Reviewer: Štefan Porubský (Praha) MSC: 11R04 11R11 11R21 PDFBibTeX XMLCite \textit{D. Baczkowski} and \textit{A. Blodgett}, Integers 20, Paper A89, 12 p. (2020; Zbl 1465.11202) Full Text: Link
Tangsupphathawat, Pinthira; Srichan, Teerapat; Laohakosol, Vichian Square-full primitive roots in short intervals. (English) Zbl 1457.11111 Rad Hrvat. Akad. Znan. Umjet. 542, Mat. Znan. 24, 39-48 (2020). MSC: 11L07 11N25 11N69 PDFBibTeX XMLCite \textit{P. Tangsupphathawat} et al., Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 542(24), 39--48 (2020; Zbl 1457.11111) Full Text: DOI
Holm, Thorsten Modular arithmetic. From integers to cryptography. (Modulare Arithmetik. Von den ganzen Zahlen zur Kryptographie.) (German) Zbl 1452.11002 Essentials. Wiesbaden: Springer Spektrum (ISBN 978-3-658-31945-8/pbk; 978-3-658-31946-5/ebook). ix, 43 p. (2020). MSC: 11-01 11Axx 11T71 94A60 PDFBibTeX XMLCite \textit{T. Holm}, Modulare Arithmetik. Von den ganzen Zahlen zur Kryptographie. Wiesbaden: Springer Spektrum (2020; Zbl 1452.11002) Full Text: DOI
Laohakosol, Vichian; Srichan, Teerapat; Tangsupphathawat, Pinthira Square-full primitive roots in arithmetic progressions. (English) Zbl 1469.11382 Mosc. J. Comb. Number Theory 9, No. 2, 187-202 (2020). MSC: 11N37 11N69 11A07 11B25 PDFBibTeX XMLCite \textit{V. Laohakosol} et al., Mosc. J. Comb. Number Theory 9, No. 2, 187--202 (2020; Zbl 1469.11382) Full Text: DOI
Chattopadhyay, Jaitra; Roy, Bidisha; Sarkar, Subha; Thangadurai, R. Distribution of residues modulo \(p\) using the Dirichlet’s class number formula. (English) Zbl 1444.11008 Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 97-107 (2020). MSC: 11A07 11A15 11N69 11R29 PDFBibTeX XMLCite \textit{J. Chattopadhyay} et al., in: Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4--7, 2017. Singapore: Springer. 97--107 (2020; Zbl 1444.11008) Full Text: DOI arXiv
Gromakovskaya, L. A.; Shirokov, B. M. Distribution of the number of square-free divisors in residue classes. (English. Russian original) Zbl 07215264 Russ. Math. 64, No. 3, 1-8 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 3, 3-11 (2020). MSC: 65Dxx 11Kxx 54Dxx 11Jxx PDFBibTeX XMLCite \textit{L. A. Gromakovskaya} and \textit{B. M. Shirokov}, Russ. Math. 64, No. 3, 1--8 (2020; Zbl 07215264); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 3, 3--11 (2020) Full Text: DOI
Saad Eddin, Sumaia; Suzuki, Yuta On the distribution of products of two primes. (English) Zbl 1446.11175 J. Number Theory 214, 100-136 (2020). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N25 11N69 PDFBibTeX XMLCite \textit{S. Saad Eddin} and \textit{Y. Suzuki}, J. Number Theory 214, 100--136 (2020; Zbl 1446.11175) Full Text: DOI arXiv
Ramaré, Olivier; Srivastav, Priyamvad; Serra, Oriol Product of primes in arithmetic progressions. (English) Zbl 1490.11091 Int. J. Number Theory 16, No. 4, 747-766 (2020). Reviewer: Michel Balazard (Marseille) MSC: 11N13 11A41 11N37 11B13 PDFBibTeX XMLCite \textit{O. Ramaré} et al., Int. J. Number Theory 16, No. 4, 747--766 (2020; Zbl 1490.11091) Full Text: DOI
Xi, Ping; Yi, Yuan Kloosterman sums and a problem of D. H. Lehmer. (English) Zbl 1456.11187 Chin. Ann. Math., Ser. B 41, No. 3, 361-370 (2020). MSC: 11N69 11L05 PDFBibTeX XMLCite \textit{P. Xi} and \textit{Y. Yi}, Chin. Ann. Math., Ser. B 41, No. 3, 361--370 (2020; Zbl 1456.11187) Full Text: DOI
Franc, Cameron; Gill, Brandon; Goertzen, Jason; Pas, Jarrod; Tu, Frankie Densities of bounded primes for hypergeometric series with rational parameters. (English) Zbl 1455.11126 Res. Number Theory 6, No. 2, Paper No. 19, 14 p. (2020). MSC: 11N05 11R45 33C05 11N69 PDFBibTeX XMLCite \textit{C. Franc} et al., Res. Number Theory 6, No. 2, Paper No. 19, 14 p. (2020; Zbl 1455.11126) Full Text: DOI arXiv
Lemke Oliver, Robert J.; Soundararajan, Kannan The distribution of consecutive prime biases and sums of sawtooth random variables. (English) Zbl 1466.11063 Math. Proc. Camb. Philos. Soc. 168, No. 1, 149-169 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N13 11F20 11N69 11P32 60F05 PDFBibTeX XMLCite \textit{R. J. Lemke Oliver} and \textit{K. Soundararajan}, Math. Proc. Camb. Philos. Soc. 168, No. 1, 149--169 (2020; Zbl 1466.11063) Full Text: DOI arXiv
Cobeli, Cristian; Zaharescu, Alexandru Factorials \(\pmod p\) and the average of modular mappings. arXiv:2011.07582 Preprint, arXiv:2011.07582 [math.NT] (2020). MSC: 11N69 49J55 65C10 BibTeX Cite \textit{C. Cobeli} and \textit{A. Zaharescu}, ``Factorials $\pmod p$ and the average of modular mappings'', Preprint, arXiv:2011.07582 [math.NT] (2020) Full Text: arXiv OA License
Sun, Zhi-Wei; Zhao, Lilu On the set \(\{\pi(kn):k=1,2,3,\dots\}\). (English) Zbl 1461.11125 J. Comb. Number Theory 11, No. 2, 97-102 (2019). MSC: 11N05 05A15 11A07 11B99 PDFBibTeX XMLCite \textit{Z.-W. Sun} and \textit{L. Zhao}, J. Comb. Number Theory 11, No. 2, 97--102 (2019; Zbl 1461.11125) Full Text: arXiv
Sharma, Divyum Joint distribution in residue classes of the base-\(q\) and Ostrowski digital sums. (English) Zbl 1477.11015 Unif. Distrib. Theory 14, No. 2, 1-26 (2019). MSC: 11A63 11N64 11N69 PDFBibTeX XMLCite \textit{D. Sharma}, Unif. Distrib. Theory 14, No. 2, 1--26 (2019; Zbl 1477.11015) Full Text: DOI arXiv
Li, Keyao; Liu, Hua’ning On the trace of products of \(k\) elements in finite fields. (Chinese. English summary) Zbl 1449.11094 Pure Appl. Math. 35, No. 4, 394-407 (2019). MSC: 11N25 11N69 PDFBibTeX XMLCite \textit{K. Li} and \textit{H. Liu}, Pure Appl. Math. 35, No. 4, 394--407 (2019; Zbl 1449.11094) Full Text: DOI
Gromakovskaya, Larisa Aleksandrovna; Shirokov, Boris Mikhaĭlovich Distribution of values of Jordan function in residue classes. (Russian. English summary) Zbl 1434.11197 Chebyshevskiĭ Sb. 20, No. 2(70), 123-139 (2019). MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{L. A. Gromakovskaya} and \textit{B. M. Shirokov}, Chebyshevskiĭ Sb. 20, No. 2(70), 123--139 (2019; Zbl 1434.11197) Full Text: MNR
Smirnov, A. L. Kummer’s tower and big zeta functions. (English. Russian original) Zbl 1470.11298 J. Math. Sci., New York 242, No. 4, 568-574 (2019); translation from Zap. Nauchn. Semin. POMI 469, 151-159 (2018). MSC: 11R42 11R45 11R58 11G20 11N69 PDFBibTeX XMLCite \textit{A. L. Smirnov}, J. Math. Sci., New York 242, No. 4, 568--574 (2019; Zbl 1470.11298); translation from Zap. Nauchn. Semin. POMI 469, 151--159 (2018) Full Text: DOI
Zoeteman, M. Uniformly counting primes with a given primitive root and in an arithmetic progression. (English) Zbl 1459.11181 Int. J. Number Theory 15, No. 10, 2115-2134 (2019). MSC: 11N13 11A07 PDFBibTeX XMLCite \textit{M. Zoeteman}, Int. J. Number Theory 15, No. 10, 2115--2134 (2019; Zbl 1459.11181) Full Text: DOI arXiv
Moree, Pieter; Sha, Min Primes in arithmetic progressions and nonprimitive roots. (English) Zbl 1472.11031 Bull. Aust. Math. Soc. 100, No. 3, 388-394 (2019). MSC: 11A15 11N13 11N69 PDFBibTeX XMLCite \textit{P. Moree} and \textit{M. Sha}, Bull. Aust. Math. Soc. 100, No. 3, 388--394 (2019; Zbl 1472.11031) Full Text: DOI arXiv
Aloui, Karam; Mkaouar, Mohamed; Wannes, Walid Power-free values of strongly \(q\)-additive functions. (English) Zbl 1480.11013 Taiwanese J. Math. 23, No. 4, 777-798 (2019). Reviewer: Lukas Spiegelhofer (Wien) MSC: 11A63 11L03 11N05 11N69 PDFBibTeX XMLCite \textit{K. Aloui} et al., Taiwanese J. Math. 23, No. 4, 777--798 (2019; Zbl 1480.11013) Full Text: DOI Euclid
Anil Kumar, C. P. On the gaps in multiplicatively closed sets generated by at most two elements. (English) Zbl 1448.11021 Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 42, 15 p. (2019). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11B05 11B25 11N25 11N69 PDFBibTeX XMLCite \textit{C. P. Anil Kumar}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 42, 15 p. (2019; Zbl 1448.11021) Full Text: DOI arXiv
Cangelmi, Leonardo; Marcovecchio, Raffaele Optimal groups for the \(r\)-rank Artin conjecture. (English) Zbl 1476.11005 Funct. Approximatio, Comment. Math. 60, No. 1, 77-86 (2019). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11R45 20K15 11N13 11N69 PDFBibTeX XMLCite \textit{L. Cangelmi} and \textit{R. Marcovecchio}, Funct. Approximatio, Comment. Math. 60, No. 1, 77--86 (2019; Zbl 1476.11005) Full Text: DOI Euclid
Balister, Paul; Bollobás, Béla; Lee, Jonathan D.; Morris, Robert; Riordan, Oliver A note on Linnik’s theorem on quadratic non-residues. (English) Zbl 1447.11100 Arch. Math. 112, No. 4, 371-375 (2019). Reviewer: Stephan Baier (Haora) MSC: 11N36 11N69 11A15 PDFBibTeX XMLCite \textit{P. Balister} et al., Arch. Math. 112, No. 4, 371--375 (2019; Zbl 1447.11100) Full Text: DOI arXiv
Jarso, Tamiru; Trudgian, Tim Quadratic non-residues that are not primitive roots. (English) Zbl 1468.11007 Math. Comput. 88, No. 317, 1251-1260 (2019). MSC: 11A07 11N35 11N69 PDFBibTeX XMLCite \textit{T. Jarso} and \textit{T. Trudgian}, Math. Comput. 88, No. 317, 1251--1260 (2019; Zbl 1468.11007) Full Text: DOI arXiv
Shparlinski, Igor E. On short products of primes in arithmetic progressions. (English) Zbl 1456.11179 Proc. Am. Math. Soc. 147, No. 3, 977-986 (2019). MSC: 11N25 11B25 11L07 11N36 PDFBibTeX XMLCite \textit{I. E. Shparlinski}, Proc. Am. Math. Soc. 147, No. 3, 977--986 (2019; Zbl 1456.11179) Full Text: DOI arXiv
Murty, M. Ram; Séguin, François; Stewart, Cameron L. A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences. (English) Zbl 1437.11141 J. Number Theory 194, 8-29 (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11N69 11B37 11D59 PDFBibTeX XMLCite \textit{M. R. Murty} et al., J. Number Theory 194, 8--29 (2019; Zbl 1437.11141) Full Text: DOI arXiv Link
Thangadurai, R.; Kumar, Veekesh Distribution of a subset of non-residues modulo \(p\). (English) Zbl 1475.11179 Akbary, Amir (ed.) et al., Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer. Springer Proc. Math. Stat. 251, 445-459 (2018). MSC: 11N69 11A07 PDFBibTeX XMLCite \textit{R. Thangadurai} and \textit{V. Kumar}, Springer Proc. Math. Stat. 251, 445--459 (2018; Zbl 1475.11179) Full Text: DOI
Pruitt, Kenny; Shannon, A. G. Modular class primes in the Sundaram sieve. (English) Zbl 1475.97006 Int. J. Math. Educ. Sci. Technol. 49, No. 6, 944-947 (2018). MSC: 97F60 11A41 11A07 PDFBibTeX XMLCite \textit{K. Pruitt} and \textit{A. G. Shannon}, Int. J. Math. Educ. Sci. Technol. 49, No. 6, 944--947 (2018; Zbl 1475.97006) Full Text: DOI
Özer, Özen On the some non extandable regular \(P_{-2}\) sets. (English) Zbl 07148992 Malays. J. Math. Sci. 12, No. 2, 255-266 (2018). MSC: 05-XX 11-XX PDFBibTeX XMLCite \textit{Ö. Özer}, Malays. J. Math. Sci. 12, No. 2, 255--266 (2018; Zbl 07148992) Full Text: Link
Kumar, Murty V. The Barban-Vehov theorem in arithmetic progressions. (English) Zbl 1440.11186 Hardy-Ramanujan J. 41, 157-171 (2018). MSC: 11N37 11N13 11B25 11N35 11N69 PDFBibTeX XMLCite \textit{M. V. Kumar}, Hardy-Ramanujan J. 41, 157--171 (2018; Zbl 1440.11186) Full Text: Link
Chattopadhyay, Jaitra; Kumar, Veekesh; Thangadurai, R. Set Equidistribution of subsets of \((\mathbb{Z}/n\mathbb{Z})^*\). (English) Zbl 1439.11189 Hardy-Ramanujan J. 41, 118-126 (2018). MSC: 11K45 PDFBibTeX XMLCite \textit{J. Chattopadhyay} et al., Hardy-Ramanujan J. 41, 118--126 (2018; Zbl 1439.11189) Full Text: Link
Călugăreanu, Grigore Tripotents: a class of strongly clean elements in rings. (English) Zbl 1438.16064 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 26, No. 1, 69-80 (2018). MSC: 16U40 16U60 11Z05 11N69 PDFBibTeX XMLCite \textit{G. Călugăreanu}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 26, No. 1, 69--80 (2018; Zbl 1438.16064) Full Text: DOI
Tang, Shangang Enumerations of rotation polynomial on residue class ring. (Chinese. English summary) Zbl 1424.05017 J. Xinjiang Univ., Nat. Sci. 35, No. 4, 409-415 (2018). MSC: 05A15 05A19 11A07 13M10 PDFBibTeX XMLCite \textit{S. Tang}, J. Xinjiang Univ., Nat. Sci. 35, No. 4, 409--415 (2018; Zbl 1424.05017) Full Text: DOI
Le Boudec, Pierre On the distribution of squarefree integers in arithmetic progressions. (English) Zbl 1459.11185 Math. Z. 290, No. 1-2, 421-429 (2018). Reviewer: Maciej Radziejewski (Poznań) MSC: 11N37 11N69 PDFBibTeX XMLCite \textit{P. Le Boudec}, Math. Z. 290, No. 1--2, 421--429 (2018; Zbl 1459.11185) Full Text: DOI arXiv
Ramaré, Olivier; Walker, Aled Products of primes in arithmetic progressions: a footnote in parity breaking. (English. French summary) Zbl 1435.11123 J. Théor. Nombres Bordx. 30, No. 1, 219-225 (2018). Reviewer: Lajos Hajdu (Debrecen) MSC: 11N13 11A41 11N37 11B13 PDFBibTeX XMLCite \textit{O. Ramaré} and \textit{A. Walker}, J. Théor. Nombres Bordx. 30, No. 1, 219--225 (2018; Zbl 1435.11123) Full Text: DOI arXiv
Leonetti, Paolo; Sanna, Carlo A note on primes in certain residue classes. (English) Zbl 1422.11193 Int. J. Number Theory 14, No. 8, 2219-2223 (2018). MSC: 11N13 11N05 11N69 PDFBibTeX XMLCite \textit{P. Leonetti} and \textit{C. Sanna}, Int. J. Number Theory 14, No. 8, 2219--2223 (2018; Zbl 1422.11193) Full Text: DOI arXiv
Porritt, Sam Residue races of the number of prime divisors function. (English) Zbl 1442.11132 J. Number Theory 190, 241-253 (2018). MSC: 11N13 11N37 PDFBibTeX XMLCite \textit{S. Porritt}, J. Number Theory 190, 241--253 (2018; Zbl 1442.11132) Full Text: DOI arXiv
Li, Songsong; Ouyang, Yi Counting the solutions of \(\lambda_1 x_1^{k_1} + \dots + \lambda_t x_t^{k_t} \equiv c \bmod n\). (English) Zbl 1430.11047 J. Number Theory 187, 41-65 (2018). MSC: 11D79 11A25 11B13 11L03 11L05 PDFBibTeX XMLCite \textit{S. Li} and \textit{Y. Ouyang}, J. Number Theory 187, 41--65 (2018; Zbl 1430.11047) Full Text: DOI arXiv
Harper, Adam J.; Lamzouri, Youness Orderings of weakly correlated random variables, and prime number races with many contestants. (English) Zbl 1445.11096 Probab. Theory Relat. Fields 170, No. 3-4, 961-1010 (2018). MSC: 11N13 11N69 11M26 60G15 PDFBibTeX XMLCite \textit{A. J. Harper} and \textit{Y. Lamzouri}, Probab. Theory Relat. Fields 170, No. 3--4, 961--1010 (2018; Zbl 1445.11096) Full Text: DOI arXiv
Meng, Xianchang Large bias for integers with prime factors in arithmetic progressions. (English) Zbl 1428.11162 Mathematika 64, No. 1, 237-252 (2018). MSC: 11N13 11N25 11N69 11M06 PDFBibTeX XMLCite \textit{X. Meng}, Mathematika 64, No. 1, 237--252 (2018; Zbl 1428.11162) Full Text: DOI arXiv
Litow, B. A transfer method from bounded existential Diophantine equations to Tarski algebra formulas. (English) Zbl 1382.68084 Theor. Comput. Sci. 708, 91-95 (2018). MSC: 68Q15 11D72 11U05 11U09 11Y16 PDFBibTeX XMLCite \textit{B. Litow}, Theor. Comput. Sci. 708, 91--95 (2018; Zbl 1382.68084) Full Text: DOI
Nimbran, Amrik Singh Asymptotic evaluation of Euler-phi sums of various residue classes. arXiv:1806.01149 Preprint, arXiv:1806.01149 [math.NT] (2018). MSC: 11A25 11K65 11N37 11N56 11N69 11Y60 11Y70 BibTeX Cite \textit{A. S. Nimbran}, ``Asymptotic evaluation of Euler-phi sums of various residue classes'', Preprint, arXiv:1806.01149 [math.NT] (2018) Full Text: arXiv OA License
Cheng, Zhi; Sun, Cuifang On partitioning \(\mathbb Z_m\) into pairs of prescribed differences. (English) Zbl 1399.05010 Adv. Math., Beijing 46, No. 6, 952-956 (2017). MSC: 05A18 05B10 11B13 PDFBibTeX XMLCite \textit{Z. Cheng} and \textit{C. Sun}, Adv. Math., Beijing 46, No. 6, 952--956 (2017; Zbl 1399.05010) Full Text: DOI
Zhang, Guotuo; Liu, Huaning On the difference between the non-negative least residue and Fermat quotient of an integer. (Chinese. English summary) Zbl 1399.11006 J. Shaanxi Norm. Univ., Nat. Sci. Ed. 45, No. 4, 11-13 (2017). MSC: 11A07 11N69 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{H. Liu}, J. Shaanxi Norm. Univ., Nat. Sci. Ed. 45, No. 4, 11--13 (2017; Zbl 1399.11006) Full Text: DOI
Sun, Cuifang; Cheng, Zhi On the addition of two cubes of units and nonunits mod \(p^{\alpha}\). (English) Zbl 1389.11031 J. Math. Res. Appl. 37, No. 3, 274-280 (2017). MSC: 11B13 11A07 11L03 11L05 PDFBibTeX XMLCite \textit{C. Sun} and \textit{Z. Cheng}, J. Math. Res. Appl. 37, No. 3, 274--280 (2017; Zbl 1389.11031) Full Text: DOI