Filaseta, Michael; Juillerat, Jacob Consecutive primes which are widely digitally delicate. (English) Zbl 07571273 Landman, Bruce M. (ed.) et al., Number theory and combinatorics. A collection in honor of the mathematics of Ronald Graham. Berlin: De Gruyter. De Gruyter Proc. Math., 209-247 (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{M. Filaseta} and \textit{J. Juillerat}, in: Number theory and combinatorics. A collection in honor of the mathematics of Ronald Graham. Berlin: De Gruyter. 209--247 (2022; Zbl 07571273) Full Text: DOI OpenURL
Selinger, Peter On the combinatorial value of Hex positions. (English) Zbl 07569247 Integers 22, Paper G3, 65 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{P. Selinger}, Integers 22, Paper G3, 65 p. (2022; Zbl 07569247) Full Text: Link OpenURL
Dajani, Karma; Langeveld, Niels Alternating \(N\)-expansions. (English) Zbl 07569246 Integers 22, Paper A65, 25 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{K. Dajani} and \textit{N. Langeveld}, Integers 22, Paper A65, 25 p. (2022; Zbl 07569246) Full Text: Link OpenURL
Yang, Qianqian; Yoshino, Kiyoto Embedding theory of lattices and its application to 2-integrable lattices. (English) Zbl 07569245 Integers 22, Paper A57, 20 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{Q. Yang} and \textit{K. Yoshino}, Integers 22, Paper A57, 20 p. (2022; Zbl 07569245) Full Text: Link OpenURL
Bohra, Ayush; Reddy, A. Satyanarayana Permanents of \(3 \times 3\) invertible matrices modulo \(n\). (English) Zbl 07569244 Integers 22, Paper A67, 17 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{A. Bohra} and \textit{A. S. Reddy}, Integers 22, Paper A67, 17 p. (2022; Zbl 07569244) Full Text: Link OpenURL
Göral, Haydar Some remarks on harmonic type matrices. (English) Zbl 07569243 Integers 22, Paper A66, 16 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{H. Göral}, Integers 22, Paper A66, 16 p. (2022; Zbl 07569243) Full Text: Link OpenURL
Catarino, Paula; Alves, Francisco R. V.; Campos, Helena On hyper \(k\)-Pell, hyper \(k\)-Pell-Lucas and hyper modified \(k\)-Pell sequences. (English) Zbl 07569242 Integers 22, Paper A60, 14 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{P. Catarino} et al., Integers 22, Paper A60, 14 p. (2022; Zbl 07569242) Full Text: Link OpenURL
Young, Paul Thomas On the 2-adic valuation of generalized Fibonacci sequences. (English) Zbl 07569241 Integers 22, Paper A68, 12 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{P. T. Young}, Integers 22, Paper A68, 12 p. (2022; Zbl 07569241) Full Text: Link OpenURL
Gallardo, Luis H. On the index of odd perfect numbers. (English) Zbl 07569240 Integers 22, Paper A58, 12 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{L. H. Gallardo}, Integers 22, Paper A58, 12 p. (2022; Zbl 07569240) Full Text: Link OpenURL
Ricci, Paolo Emilio; Natalini, Pierpaolo Hypergeometric Bernoulli polynomials and \(r\)-associated Stirling numbers of the second kind. (English) Zbl 07569239 Integers 22, Paper A56, 12 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{P. E. Ricci} and \textit{P. Natalini}, Integers 22, Paper A56, 12 p. (2022; Zbl 07569239) Full Text: Link OpenURL
Schwab, Emil Daniel; Schwab, Gabriela \(k\)-Fibonacci numbers and Möbius functions. (English) Zbl 07569238 Integers 22, Paper A64, 11 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{E. D. Schwab} and \textit{G. Schwab}, Integers 22, Paper A64, 11 p. (2022; Zbl 07569238) Full Text: Link OpenURL
Heyman, Randell Primes in floor function sets. (English) Zbl 07569237 Integers 22, Paper A59, 10 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{R. Heyman}, Integers 22, Paper A59, 10 p. (2022; Zbl 07569237) Full Text: Link OpenURL
Balaji, Vishal; Lott, Andrew; Rice, Alex Schur’s theorem in integer lattices. (English) Zbl 07569236 Integers 22, Paper A62, 8 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{V. Balaji} et al., Integers 22, Paper A62, 8 p. (2022; Zbl 07569236) Full Text: Link OpenURL
de Castro, Dario T. \(p\)-adic order of positive integers via binomial coefficients. (English) Zbl 07569235 Integers 22, Paper A61, 8 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{D. T. de Castro}, Integers 22, Paper A61, 8 p. (2022; Zbl 07569235) Full Text: Link OpenURL
Wagstaff, Samuel S. jun. Primary Carmichael numbers. (English) Zbl 07569234 Integers 22, Paper A55, 8 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{S. S. Wagstaff jun.}, Integers 22, Paper A55, 8 p. (2022; Zbl 07569234) Full Text: Link OpenURL
Schneider, Robert; Sills, Andrew V. Combinatorial formulas for arithmetic density. (English) Zbl 07569233 Integers 22, Paper A63, 7 p. (2022). MSC: 11Axx PDF BibTeX XML Cite \textit{R. Schneider} and \textit{A. V. Sills}, Integers 22, Paper A63, 7 p. (2022; Zbl 07569233) Full Text: Link OpenURL
Kay, Anthony; Downes-Ward, Katrina Fixed points and cycles of the Kaprekar transformation: 1. Odd bases. (English) Zbl 07566035 J. Integer Seq. 25, No. 6, Article 22.6.7, 37 p. (2022). MSC: 11A99 PDF BibTeX XML Cite \textit{A. Kay} and \textit{K. Downes-Ward}, J. Integer Seq. 25, No. 6, Article 22.6.7, 37 p. (2022; Zbl 07566035) Full Text: Link OpenURL
Boney, Will; Souldatos, Ioannis A lower bound for the Hanf number for joint embedding. (English) Zbl 07558277 Fundam. Math. 258, No. 2, 115-135 (2022). MSC: 03C48 03E55 03C55 PDF BibTeX XML Cite \textit{W. Boney} and \textit{I. Souldatos}, Fundam. Math. 258, No. 2, 115--135 (2022; Zbl 07558277) Full Text: DOI OpenURL
Mao, Renrong On the total number of parts functions associated with ranks of partitions modulo 5 and 7. (English) Zbl 07557862 Ramanujan J. 58, No. 4, 1201-1243 (2022). MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{R. Mao}, Ramanujan J. 58, No. 4, 1201--1243 (2022; Zbl 07557862) Full Text: DOI OpenURL
Zannier, Umberto Integral distances from (two) given lattice points. (English) Zbl 07556771 Enseign. Math. (2) 68, No. 1-2, 201-216 (2022). MSC: 11A99 11D09 PDF BibTeX XML Cite \textit{U. Zannier}, Enseign. Math. (2) 68, No. 1--2, 201--216 (2022; Zbl 07556771) Full Text: DOI OpenURL
Patodia, Harish; Saikia, Helen Near-Zumkeller numbers. (English) Zbl 07554053 Proyecciones 41, No. 3, 765-776 (2022). MSC: 11Axx 97F60 PDF BibTeX XML Cite \textit{H. Patodia} and \textit{H. Saikia}, Proyecciones 41, No. 3, 765--776 (2022; Zbl 07554053) Full Text: DOI OpenURL
Mallik, Asok Kumar; Das, Amit Kumar Numbers. Arithmetic and computation. (English) Zbl 07553976 Boca Raton, FL: CRC Press (ISBN 978-1-032-27759-2/hbk; 978-1-003-29394-1/ebook). x, 224 p. (2022). MSC: 11-01 11Axx PDF BibTeX XML Cite \textit{A. K. Mallik} and \textit{A. K. Das}, Numbers. Arithmetic and computation. Boca Raton, FL: CRC Press (2022; Zbl 07553976) Full Text: DOI OpenURL
Şiar, Z.; Keskin, R. On the exponential Diophantine equation \((a^n-2)(b^n-2)=x^2\). (English) Zbl 07550604 Math. Notes 111, No. 6, 903-912 (2022). MSC: 11Dxx 11Bxx 11Axx PDF BibTeX XML Cite \textit{Z. Şiar} and \textit{R. Keskin}, Math. Notes 111, No. 6, 903--912 (2022; Zbl 07550604) 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: 11Axx 11Jxx 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
McLeman, Cam; McNicholas, Erin; Starr, Colin Explorations in number theory. Commuting through the numberverse. (English) Zbl 07539251 Undergraduate Texts in Mathematics. Cham: Springer (ISBN 978-3-030-98930-9/hbk). xii, 362 p. (2022). MSC: 11-01 97-01 97Fxx 11Axx 11Dxx PDF BibTeX XML Cite \textit{C. McLeman} et al., Explorations in number theory. Commuting through the numberverse. Cham: Springer (2022; Zbl 07539251) 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
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
Fried, Sela On the coefficients of the distinct monomials in the expansion of \(x_1(x_1+x_2) \cdots (x_1+x_2+ \cdots+x_n)\). (English) Zbl 07534345 J. Integer Seq. 25, No. 4, Article 22.4.2, 16 p. (2022). MSC: 11P81 05A17 90C27 PDF BibTeX XML Cite \textit{S. Fried}, J. Integer Seq. 25, No. 4, Article 22.4.2, 16 p. (2022; Zbl 07534345) Full Text: Link 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
Brown, Erin Crossen; Mkrtchyan, Sevak; Pakianathan, Jonathan Random gap processes and asymptotically complete sequences. (English) Zbl 07517661 J. Theor. Probab. 35, No. 2, 801-818 (2022). MSC: 11B83 60C05 11P70 11P81 PDF BibTeX XML Cite \textit{E. C. Brown} et al., J. Theor. Probab. 35, No. 2, 801--818 (2022; Zbl 07517661) 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
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
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
Tkach, Mykola; Seti, Julia; Voitsekhivska, Oxana; Hutiv, Vasyl Renormalized spectrum of quasiparticle in two states, strongly interacting with multi-mode polarization phonons at \(T=0\) K. (English) Zbl 1486.81150 Int. J. Theor. Phys. 61, No. 2, Paper No. 29, 16 p. (2022). MSC: 81T17 76Q05 81V25 47A10 35J08 82D20 35P05 PDF BibTeX XML Cite \textit{M. Tkach} et al., Int. J. Theor. Phys. 61, No. 2, Paper No. 29, 16 p. (2022; Zbl 1486.81150) Full Text: DOI arXiv OpenURL
Kundu, Satyabrota; Mazumder, Supriyo Number theory and its applications. (English) Zbl 07486612 Boca Raton, FL: CRC Press (ISBN 978-1-032-23143-3/hbk; 978-1-003-27594-7/ebook). x, 355 p. (2022). MSC: 11-01 11Axx 11Bxx 11Dxx PDF BibTeX XML Cite \textit{S. Kundu} and \textit{S. Mazumder}, Number theory and its applications. Boca Raton, FL: CRC Press (2022; Zbl 07486612) Full Text: DOI OpenURL
Chen, Rong; Garvan, F. G. A proof of the mod 4 unimodal sequence conjectures and related mock theta functions. (English) Zbl 07483909 Adv. Math. 398, Article ID 108235, 50 p. (2022). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11F03 11E41 11F33 11F37 11P81 11P83 11P84 33D15 05A17 PDF BibTeX XML Cite \textit{R. Chen} and \textit{F. G. Garvan}, Adv. Math. 398, Article ID 108235, 50 p. (2022; Zbl 07483909) Full Text: DOI arXiv OpenURL
Andreescu, Titu; Safaei, Navid; Ventullo, Alessandro AwesomeMath admission tests. The next seven years (2015–2021). (English) Zbl 1487.00007 XYZ Series 44. Allen, TX: XYZ Press (ISBN 978-1-7358315-4-1/pbk). viii, 195 p. (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 00A07 97-01 97U40 PDF BibTeX XML Cite \textit{T. Andreescu} et al., AwesomeMath admission tests. The next seven years (2015--2021). Allen, TX: XYZ Press (2022; Zbl 1487.00007) OpenURL
Andreescu, Titu; Safaei, Navid; Ventullo, Alessandro AwesomeMath admission tests. The first nine years (2006–2014). (English) Zbl 1487.00006 XYZ Series 43. Allen, TX: XYZ Press (ISBN 978-1-7358315-3-4/pbk). vii, 227 p. (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 00A07 97U40 PDF BibTeX XML Cite \textit{T. Andreescu} et al., AwesomeMath admission tests. The first nine years (2006--2014). Allen, TX: XYZ Press (2022; Zbl 1487.00006) OpenURL
Wang, Chen An analytic proof of the Borwein conjecture. (English) Zbl 1479.05032 Adv. Math. 394, Article ID 108028, 54 p. (2022). MSC: 05A30 11B75 11P81 05A17 PDF BibTeX XML Cite \textit{C. Wang}, Adv. Math. 394, Article ID 108028, 54 p. (2022; Zbl 1479.05032) Full Text: DOI arXiv OpenURL
Effinger, Gove; Mullen, Gary L. Elementary number theory. (English) Zbl 1471.11001 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-04418-7/hbk; 978-1-032-01723-5/pbk; 978-1-003-19311-1/ebook). xi, 241 p. (2022). MSC: 11-01 11Axx 11Dxx 11Txx 94A60 PDF BibTeX XML Cite \textit{G. Effinger} and \textit{G. L. Mullen}, Elementary number theory. Boca Raton, FL: CRC Press (2022; Zbl 1471.11001) Full Text: DOI OpenURL
Kay, Anthony Number systems. A path into rigorous mathematics. (English) Zbl 1472.11002 Boca Raton, FL: CRC Press (ISBN 978-0-367-18065-2/hbk; 978-0-367-18061-4/pbk; 978-0-429-05935-3/ebook). xi, 304 p. (2022). MSC: 11-01 11Axx PDF BibTeX XML Cite \textit{A. Kay}, Number systems. A path into rigorous mathematics. Boca Raton, FL: CRC Press (2022; Zbl 1472.11002) Full Text: DOI OpenURL
Caglayan, Günhan About polygonal numbers. (Au sujet des nombres polygonaux.) (French) Zbl 07564304 Quadrature 121, 21, 28 (2021). MSC: 11A99 11D09 PDF BibTeX XML Cite \textit{G. Caglayan}, Quadrature 121, 21, 28 (2021; Zbl 07564304) OpenURL
Kilmer, Shelby; Zheng, Songfeng A generalized alternating harmonic series. (English) Zbl 07533497 AIMS Math. 6, No. 12, 13480-13487 (2021). MSC: 40A05 11A99 PDF BibTeX XML Cite \textit{S. Kilmer} and \textit{S. Zheng}, AIMS Math. 6, No. 12, 13480--13487 (2021; Zbl 07533497) Full Text: DOI OpenURL
Patodia, Harish; Saikia, Helen K. \(t\)-\(m\)-Zumkeller labeling of graphs. (English) Zbl 07527402 Adv. Appl. Discrete Math. 27, No. 1, 1-14 (2021). MSC: 11Axx 97F60 05Cxx PDF BibTeX XML Cite \textit{H. Patodia} and \textit{H. K. Saikia}, Adv. Appl. Discrete Math. 27, No. 1, 1--14 (2021; Zbl 07527402) Full Text: DOI OpenURL
Acevedo Agudelo, Yeisson Alexis Prime numbers: an alternative study using ova-angular rotations. (English) Zbl 07523039 JP J. Algebra Number Theory Appl. 52, No. 1, 127-161 (2021). MSC: 11Axx 11A07 11A67 PDF BibTeX XML Cite \textit{Y. A. Acevedo Agudelo}, JP J. Algebra Number Theory Appl. 52, No. 1, 127--161 (2021; Zbl 07523039) Full Text: DOI OpenURL
Sebata, Junya A simple condition of Fermat Wiles theorem mainly led by combinatorics. (English) Zbl 07523025 JP J. Algebra Number Theory Appl. 51, No. 1, 55-75 (2021). MSC: 11D41 05B25 05B05 11U99 11A99 PDF BibTeX XML Cite \textit{J. Sebata}, JP J. Algebra Number Theory Appl. 51, No. 1, 55--75 (2021; Zbl 07523025) Full Text: DOI OpenURL
Nathanson, Melvyn B. Curious convergent series of integers with missing digits. (English) Zbl 07497815 Integers 21A, Paper A18, 9 p. (2021). MSC: 11Axx PDF BibTeX XML Cite \textit{M. B. Nathanson}, Integers 21A, Paper A18, 9 p. (2021; Zbl 07497815) Full Text: Link OpenURL
Srivastava, Gunjan; Singh, J. N.; Manjul, Manisha Group key management: issues and opportunities. (English) Zbl 07477453 J. Discrete Math. Sci. Cryptography 24, No. 3, 787-795 (2021). MSC: 68Mxx 11A05 11A07 11F33 11Rxx 11G15 11Rxx 11G15 11Axx 11R04 PDF BibTeX XML Cite \textit{G. Srivastava} et al., J. Discrete Math. Sci. Cryptography 24, No. 3, 787--795 (2021; Zbl 07477453) Full Text: DOI OpenURL
Allouche, Jean-Paul Book review of: A. Dujella, Number theory. (English) Zbl 1480.00010 Eur. Math. Soc. Mag. 121, 54-55 (2021). MSC: 00A17 11-01 11Axx 11Bxx 11Dxx PDF BibTeX XML Cite \textit{J.-P. Allouche}, Eur. Math. Soc. Mag. 121, 54--55 (2021; Zbl 1480.00010) Full Text: DOI OpenURL
Wang, Liuquan Truncated series with nonnegative coefficients from the Jacobi triple product. (English) Zbl 1483.11229 Hardy-Ramanujan J. 44, 51-60 (2021). MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{L. Wang}, Hardy-Ramanujan J. 44, 51--60 (2021; Zbl 1483.11229) Full Text: DOI arXiv OpenURL
Khan, Vakeel A.; Tuba, Umme On paranormed ideal convergent sequence spaces defined by Jordan totient function. (English) Zbl 07465074 J. Inequal. Appl. 2021, Paper No. 96, 16 p. (2021). MSC: 46Axx 40Axx 11Axx PDF BibTeX XML Cite \textit{V. A. Khan} and \textit{U. Tuba}, J. Inequal. Appl. 2021, Paper No. 96, 16 p. (2021; Zbl 07465074) Full Text: DOI OpenURL
Banakh, Taras; Spirito, Dario; Turek, Sławomir The Golomb space is topologically rigid. (English) Zbl 07442496 Commentat. Math. Univ. Carol. 62, No. 3, 347-360 (2021). MSC: 11A99 54G15 PDF BibTeX XML Cite \textit{T. Banakh} et al., Commentat. Math. Univ. Carol. 62, No. 3, 347--360 (2021; Zbl 07442496) Full Text: DOI arXiv OpenURL
Jitjankarn, Phichet; Wananiyakul, Saeree The cyclic groups generated by Catalan matrices. (English) Zbl 07411850 Missouri J. Math. Sci. 33, No. 1, 1-9 (2021). MSC: 20F05 11A99 20D60 PDF BibTeX XML Cite \textit{P. Jitjankarn} and \textit{S. Wananiyakul}, Missouri J. Math. Sci. 33, No. 1, 1--9 (2021; Zbl 07411850) Full Text: DOI OpenURL
Noferini, Vanni; Williams, Gerald Matrices in companion rings, Smith forms, and the homology of 3-dimensional Brieskorn manifolds. (English) Zbl 07396008 J. Algebra 587, 1-19 (2021). Reviewer: John D. Dixon (Ottawa) MSC: 16S50 15A21 15B36 15A15 15B33 11C20 57M50 PDF BibTeX XML Cite \textit{V. Noferini} and \textit{G. Williams}, J. Algebra 587, 1--19 (2021; Zbl 07396008) Full Text: DOI arXiv OpenURL
Kumar, Hitesh; Patra, Kamal Lochan; Sahoo, Binod Kumar Proper divisor graph of a positive integer. (English) Zbl 1479.05145 Integers 21, Paper A65, 21 p. (2021). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 05C25 05C75 05C60 11A05 11B75 PDF BibTeX XML Cite \textit{H. Kumar} et al., Integers 21, Paper A65, 21 p. (2021; Zbl 1479.05145) Full Text: arXiv Link OpenURL
Cai, Tianxin A modern introduction to classical number theory. Revised edition of The book of numbers. Preface translated from the Chinese by Jing Du. (English) Zbl 1469.11001 Singapore: World Scientific (ISBN 978-981-12-1829-3/hbk; 978-981-12-1831-6/ebook). xxix, 399 p. (2021). MSC: 11-01 11Axx 11N05 97F60 PDF BibTeX XML Cite \textit{T. Cai}, A modern introduction to classical number theory. Revised edition of \textit{The book of numbers}. Preface translated from the Chinese by Jing Du. Singapore: World Scientific (2021; Zbl 1469.11001) Full Text: DOI OpenURL
Lim, Kay Jin; Wang, Jialin A note on the signature representations of the symmetric groups. (English) Zbl 1477.11178 Algebra Colloq. 28, No. 3, 469-478 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 20C30 20G43 PDF BibTeX XML Cite \textit{K. J. Lim} and \textit{J. Wang}, Algebra Colloq. 28, No. 3, 469--478 (2021; Zbl 1477.11178) Full Text: DOI arXiv OpenURL
Kim, Sun A combinatorial proof of a recurrence relation for the sum of divisors function. (English) Zbl 1465.05014 Int. J. Number Theory 17, No. 3, 647-653 (2021). MSC: 05A17 11P81 PDF BibTeX XML Cite \textit{S. Kim}, Int. J. Number Theory 17, No. 3, 647--653 (2021; Zbl 1465.05014) Full Text: DOI OpenURL
Hachenberger, Dirk Ovoids and primitive normal bases for quartic extensions of Galois fields. (English) Zbl 07347319 J. Algebr. Comb. 53, No. 1, 85-114 (2021). MSC: 11Txx 11A99 11T30 12E20 PDF BibTeX XML Cite \textit{D. Hachenberger}, J. Algebr. Comb. 53, No. 1, 85--114 (2021; Zbl 07347319) Full Text: DOI OpenURL
Eichhorn, Dennis; Nam, Hayan; Sohn, Jaebum A tiling proof of Euler’s pentagonal number theorem and generalizations. (English) Zbl 1473.11194 Ramanujan J. 54, No. 3, 613-624 (2021). Reviewer: Manjil Pratim Saikia (Cardiff) MSC: 11P84 05A17 05A19 11P81 PDF BibTeX XML Cite \textit{D. Eichhorn} et al., Ramanujan J. 54, No. 3, 613--624 (2021; Zbl 1473.11194) Full Text: DOI arXiv OpenURL
Dujella, Andrej Number theory. Translated from the Croatian by Petra Švob. (English) Zbl 1472.11001 Manualia Universitatis Studiorum Zagrabiensis. Zagreb: Školska Knjiga (ISBN 978-953-0-30897-8). x, 621 p. (2021). Reviewer: Pentti Haukkanen (Tampere) MSC: 11-01 11Axx 11Bxx 11Dxx PDF BibTeX XML Cite \textit{A. Dujella}, Number theory. Translated from the Croatian by Petra Švob. Zagreb: Školska Knjiga (2021; Zbl 1472.11001) OpenURL
Rasekh, Nima Every elementary higher topos has a natural number object. (English) Zbl 1464.18006 Theory Appl. Categ. 37, 337-377 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18B25 03G30 18N60 55U35 PDF BibTeX XML Cite \textit{N. Rasekh}, Theory Appl. Categ. 37, 337--377 (2021; Zbl 1464.18006) Full Text: arXiv Link OpenURL
Bluher, Antonia W. New Wilson-like theorems arising from Dickson polynomials. (English) Zbl 1478.11142 Finite Fields Appl. 72, Article ID 101819, 30 p. (2021). Reviewer: Peter Jau-Shyong Shiue (Las Vegas) MSC: 11T06 11A15 PDF BibTeX XML Cite \textit{A. W. Bluher}, Finite Fields Appl. 72, Article ID 101819, 30 p. (2021; Zbl 1478.11142) Full Text: DOI arXiv OpenURL
Malykh, M. D.; Sevastianov, L. A.; Yu, Y. On symbolic integration of algebraic functions. (English) Zbl 07312494 J. Symb. Comput. 104, 563-579 (2021). MSC: 68W30 12H05 34A05 34A09 65D20 11Y40 13P10 PDF BibTeX XML Cite \textit{M. D. Malykh} et al., J. Symb. Comput. 104, 563--579 (2021; Zbl 07312494) Full Text: DOI OpenURL
Merca, Mircea Generalized Lambert series and Euler’s pentagonal number theorem. (English) Zbl 1467.11087 Mediterr. J. Math. 18, No. 1, Paper No. 29, 12 p. (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P81 05A17 05A19 PDF BibTeX XML Cite \textit{M. Merca}, Mediterr. J. Math. 18, No. 1, Paper No. 29, 12 p. (2021; Zbl 1467.11087) Full Text: DOI OpenURL
Agarwal, Ravi P. Pythagorean theorem before and after Pythagoras. (English) Zbl 07540095 Adv. Stud. Contemp. Math., Kyungshang 30, No. 3, 357-389 (2020). MSC: 01A16 01A25 01A32 11-02 51M09 PDF BibTeX XML Cite \textit{R. P. Agarwal}, Adv. Stud. Contemp. Math., Kyungshang 30, No. 3, 357--389 (2020; Zbl 07540095) Full Text: DOI OpenURL
Yamagami, Atsushi; Ketkar, Vidhi Mukund On a variant of Kaprekar numbers – minus-Kaprekar numbers. (English) Zbl 07522971 JP J. Algebra Number Theory Appl. 47, No. 2, 135-155 (2020). MSC: 11A99 11P99 PDF BibTeX XML Cite \textit{A. Yamagami} and \textit{V. M. Ketkar}, JP J. Algebra Number Theory Appl. 47, No. 2, 135--155 (2020; Zbl 07522971) Full Text: DOI OpenURL
Kim, Byungchan A reinforcement learning based algorithm to find a triangular Graham partition. (English) Zbl 1469.11403 Hardy-Ramanujan J. 43, 91-98 (2020). MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{B. Kim}, Hardy-Ramanujan J. 43, 91--98 (2020; Zbl 1469.11403) Full Text: Link OpenURL
Verhoeff, Tom Book review of: B. Hutz, An experimental introduction to number theory. (Dutch) Zbl 1472.00038 Nieuw Arch. Wiskd. (5) 21, No. 1, 66-67 (2020). MSC: 00A17 11-01 11Yxx 11Axx 11Dxx 11G05 11Jxx 11R11 11T71 PDF BibTeX XML Cite \textit{T. Verhoeff}, Nieuw Arch. Wiskd. (5) 21, No. 1, 66--67 (2020; Zbl 1472.00038) OpenURL
Karmakar, Sudhangshu B. Retraction of: “An elementary proof of Fermat’s last theorem for all even exponents”. (English) Zbl 07342608 J. Math. Cryptol. 14, 143 (2020). MSC: 11D61 11D41 11A99 11D99 PDF BibTeX XML Cite \textit{S. B. Karmakar}, J. Math. Cryptol. 14, 143 (2020; Zbl 07342608) Full Text: DOI OpenURL
Karmakar, Sudhangshu B. An elementary proof of Fermat’s last theorem for all even exponents. (English) Zbl 07342607 J. Math. Cryptol. 14, 139-142 (2020); retraction ibid. 14, 143 (2020). MSC: 11D61 11D41 11A99 11D99 PDF BibTeX XML Cite \textit{S. B. Karmakar}, J. Math. Cryptol. 14, 139--142 (2020; Zbl 07342607) Full Text: DOI OpenURL
Gao, Qian; Gao, Li; Liang, Xiaoyan Study on mixed mean value including Smarandache LCM function and Smarandache dual-function. (Chinese. English summary) Zbl 1474.11031 J. Hubei Univ., Nat. Sci. 42, No. 5, 500-503, 510 (2020). MSC: 11A99 PDF BibTeX XML Cite \textit{Q. Gao} et al., J. Hubei Univ., Nat. Sci. 42, No. 5, 500--503, 510 (2020; Zbl 1474.11031) Full Text: DOI OpenURL
Sorenson, Brianna; Sorenson, Jonathan; Webster, Jonathan An algorithm and estimates for the Erdős-Selfridge function. (English) Zbl 1472.11321 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, 371-385 (2020). MSC: 11Y16 11B65 PDF BibTeX XML Cite \textit{B. Sorenson} et al., Open Book Ser. 4, 371--385 (2020; Zbl 1472.11321) Full Text: DOI arXiv OpenURL
Valueva, M. V.; Nagornov, N. N.; Lyakhov, P. A.; Valuev, G. V.; Chervyakov, N. I. Application of the residue number system to reduce hardware costs of the convolutional neural network implementation. (English) Zbl 07318097 Math. Comput. Simul. 177, 232-243 (2020). MSC: 68Qxx 11Yxx 68Wxx 11Axx PDF BibTeX XML Cite \textit{M. V. Valueva} et al., Math. Comput. Simul. 177, 232--243 (2020; Zbl 07318097) Full Text: DOI OpenURL
Bluher, Antonia W. A structure theorem for finite fields. (English) Zbl 1473.11222 Finite Fields Appl. 68, Article ID 101732, 12 p. (2020). Reviewer: Xiang-Dong Hou (Tampa) MSC: 11T30 11T06 PDF BibTeX XML Cite \textit{A. W. Bluher}, Finite Fields Appl. 68, Article ID 101732, 12 p. (2020; Zbl 1473.11222) Full Text: DOI arXiv OpenURL
Feng, Yulu; Zhao, Wei On the integrality of the second elementary symmetric function of \(1, 1/{3^{s_1}}, \cdots, 1/(2n - 1)^{s_{n - 1}}\). (English) Zbl 1463.11089 J. Sichuan Univ., Nat. Sci. Ed. 57, No. 3, 431-434 (2020). MSC: 11B83 11B75 11B25 PDF BibTeX XML Cite \textit{Y. Feng} and \textit{W. Zhao}, J. Sichuan Univ., Nat. Sci. Ed. 57, No. 3, 431--434 (2020; Zbl 1463.11089) Full Text: DOI OpenURL
Boucard, Jenny Number theory in the Nouvelles Annales de Mathématiques (1842–1927): a case study about mathematical journals for teachers and students. (Une étude de cas sur les journaux mathématiques pour enseignants et élèves : la théorie des nombres dans les Nouvelles annales de mathématiques (1842–1927).) (English. French summary) Zbl 1464.01006 Rev. Hist. Math. 26, No. 1, 3-72 (2020). Reviewer: Davide Crippa (Praha) MSC: 01A55 01A60 11-03 97F60 PDF BibTeX XML Cite \textit{J. Boucard}, Rev. Hist. Math. 26, No. 1, 3--72 (2020; Zbl 1464.01006) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Holm}, Modulare Arithmetik. Von den ganzen Zahlen zur Kryptographie. Wiesbaden: Springer Spektrum (2020; Zbl 1452.11002) Full Text: DOI OpenURL
Patanker, N.; Singh, S. K. On geometric Goppa codes from elementary abelian \(p\)-extensions of \(\mathbb{F}_{p^s}(x)\). (English. Russian original) Zbl 1460.94087 Probl. Inf. Transm. 56, No. 3, 253-269 (2020); translation from Probl. Peredachi Inf. 56, No. 5, 59-76 (2020). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 94B27 94B10 11T71 14G50 PDF BibTeX XML Cite \textit{N. Patanker} and \textit{S. K. Singh}, Probl. Inf. Transm. 56, No. 3, 253--269 (2020; Zbl 1460.94087); translation from Probl. Peredachi Inf. 56, No. 5, 59--76 (2020) Full Text: DOI arXiv OpenURL
Bordellès, Olivier Arithmetic tales. Advanced edition. 2nd extensively rewritten edition. (English) Zbl 1452.11001 Universitext. Cham: Springer (ISBN 978-3-030-54945-9/pbk; 978-3-030-54946-6/ebook). xix, 782 p. (2020). MSC: 11-01 11Axx 11Nxx 11Rxx 11Lxx 11L07 PDF BibTeX XML Cite \textit{O. Bordellès}, Arithmetic tales. Advanced edition. 2nd extensively rewritten edition. Cham: Springer (2020; Zbl 1452.11001) Full Text: DOI OpenURL
Wüstholz, Gisbert; Fuchs, Clemens Algebra. For students of mathematics, physics, computer science. 3rd revised and supplemented edition. (Algebra. Für Studierende der Mathematik, Physik, Informatik.) (German) Zbl 1451.00005 Springer Studium Mathematik – Bachelor. Wiesbaden: Springer Spektrum (ISBN 978-3-658-31263-3/pbk; 978-3-658-31264-0/ebook). xvi, 313 p. (2020). MSC: 00A05 12-01 13-01 16-01 20-01 11-01 PDF BibTeX XML Cite \textit{G. Wüstholz} and \textit{C. Fuchs}, Algebra. Für Studierende der Mathematik, Physik, Informatik. 3rd revised and supplemented edition. Wiesbaden: Springer Spektrum (2020; Zbl 1451.00005) Full Text: DOI OpenURL
Jordan, Bruce W.; Zaytman, Yevgeny Integral points on varieties defined by matrix factorization into elementary matrices. (English) Zbl 1453.11041 J. Number Theory 217, 340-352 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11C20 20G30 11G35 PDF BibTeX XML Cite \textit{B. W. Jordan} and \textit{Y. Zaytman}, J. Number Theory 217, 340--352 (2020; Zbl 1453.11041) Full Text: DOI arXiv OpenURL
Nyirenda, Darlison On parity and recurrences for certain partition functions. (English) Zbl 1445.05016 Contrib. Discrete Math. 15, No. 1, 72-79 (2020). MSC: 05A17 05A15 05A19 05A30 11P81 PDF BibTeX XML Cite \textit{D. Nyirenda}, Contrib. Discrete Math. 15, No. 1, 72--79 (2020; Zbl 1445.05016) Full Text: DOI OpenURL
Brent, Richard P. The Borwein brothers, Pi and the AGM. (English) Zbl 1437.11001 Bailey, David H. (ed.) et al., From analysis to visualization. A celebration of the life and legacy of Jonathan M. Borwein, Callaghan, Australia, September 25–29, 2017. Cham: Springer. Springer Proc. Math. Stat. 313, 323-347 (2020). MSC: 11-03 11Y60 01A70 33E05 11Y16 65B99 68Q25 PDF BibTeX XML Cite \textit{R. P. Brent}, Springer Proc. Math. Stat. 313, 323--347 (2020; Zbl 1437.11001) Full Text: DOI arXiv OpenURL
Singh, Kuldeep Number theory. Step by step. (English) Zbl 1486.11002 Oxford: Oxford University Press (ISBN 978-0-19-884673-4/pbk). xi, 385 p. (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 PDF BibTeX XML Cite \textit{K. Singh}, Number theory. Step by step. Oxford: Oxford University Press (2020; Zbl 1486.11002) OpenURL
Leonetti, Paolo; Sanna, Carlo Directions sets: a generalisation of ratio sets. (English) Zbl 1461.11023 Bull. Aust. Math. Soc. 101, No. 3, 389-395 (2020). Reviewer: Oto Strauch (Bratislava) MSC: 11B05 11A99 PDF BibTeX XML Cite \textit{P. Leonetti} and \textit{C. Sanna}, Bull. Aust. Math. Soc. 101, No. 3, 389--395 (2020; Zbl 1461.11023) Full Text: DOI arXiv OpenURL
Wang, Chun; Yee, Ae Ja Truncated Hecke-Rogers type series. (English) Zbl 1439.11269 Adv. Math. 365, Article ID 107051, 19 p. (2020). Reviewer: Mircea Merca (Cornu) MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{C. Wang} and \textit{A. J. Yee}, Adv. Math. 365, Article ID 107051, 19 p. (2020; Zbl 1439.11269) Full Text: DOI OpenURL
Chang, Sarula; Chang, An; Zheng, Yirong The leaf-free graphs with nullity \(2 c ( G ) - 1\). (English) Zbl 1435.05114 Discrete Appl. Math. 277, 44-54 (2020). MSC: 05C38 05C30 PDF BibTeX XML Cite \textit{S. Chang} et al., Discrete Appl. Math. 277, 44--54 (2020; Zbl 1435.05114) Full Text: DOI OpenURL
Alladi, Krishnaswami Book review of: A. V. Sills, An invitation to the Rogers-Ramanujan identities. (English) Zbl 1431.00004 Notices Am. Math. Soc. 67, No. 1, 68-71 (2020). MSC: 00A17 11-01 11P84 11P81 05A17 05A19 PDF BibTeX XML Cite \textit{K. Alladi}, Notices Am. Math. Soc. 67, No. 1, 68--71 (2020; Zbl 1431.00004) Full Text: DOI OpenURL
Ambily, A. A.; Rao, Ravi A. Normality of DSER elementary orthogonal group. (English) Zbl 1450.11034 J. Pure Appl. Algebra 224, No. 7, Article ID 106283, 14 p. (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 11E81 13C10 37A44 PDF BibTeX XML Cite \textit{A. A. Ambily} and \textit{R. A. Rao}, J. Pure Appl. Algebra 224, No. 7, Article ID 106283, 14 p. (2020; Zbl 1450.11034) Full Text: DOI arXiv OpenURL
David, Julien; Pournin, Lionel; Rakotonarivo, Rado Elementary moves on lattice polytopes. (English) Zbl 1433.05084 J. Comb. Theory, Ser. A 172, Article ID 105200, 30 p. (2020). MSC: 05C10 52B20 52C07 11H06 PDF BibTeX XML Cite \textit{J. David} et al., J. Comb. Theory, Ser. A 172, Article ID 105200, 30 p. (2020; Zbl 1433.05084) Full Text: DOI arXiv OpenURL
Li, Chong; Yang, Yingjie; Liu, Sifeng Comparative analysis of properties of weakening buffer operators in time series prediction models. (English) Zbl 07263932 Commun. Nonlinear Sci. Numer. Simul. 68, 257-285 (2019). MSC: 11Yxx 60Exx 41Axx 33Bxx PDF BibTeX XML Cite \textit{C. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 68, 257--285 (2019; Zbl 07263932) Full Text: DOI Link OpenURL
Zhang, Sihui; Jiang, Tianze A note on primitive Heronian triangles. (Chinese. English summary) Zbl 1449.11019 Chin. Ann. Math., Ser. A 40, No. 4, 361-364 (2019). MSC: 11A99 11D09 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{T. Jiang}, Chin. Ann. Math., Ser. A 40, No. 4, 361--364 (2019; Zbl 1449.11019) Full Text: DOI OpenURL
Anabanti, Chimere S. A characterization of elementary abelian 3-groups. (English) Zbl 1435.20030 Quasigroups Relat. Syst. 27, No. 2, 175-180 (2019). MSC: 20D60 11B75 20K01 05E16 PDF BibTeX XML Cite \textit{C. S. Anabanti}, Quasigroups Relat. Syst. 27, No. 2, 175--180 (2019; Zbl 1435.20030) Full Text: arXiv Link OpenURL
Berkovich, Alexander; Uncu, Ali Kemal Elementary polynomial identities involving \(q\)-trinomial coefficients. (English) Zbl 1431.11030 Ann. Comb. 23, No. 3-4, 549-560 (2019). MSC: 11B65 11C08 11P81 11P82 11P83 11P84 05A10 05A15 05A17 PDF BibTeX XML Cite \textit{A. Berkovich} and \textit{A. K. Uncu}, Ann. Comb. 23, No. 3--4, 549--560 (2019; Zbl 1431.11030) Full Text: DOI arXiv OpenURL
Dehghan, Ali; Banihashemi, Amir H. Asymptotic average multiplicity of structures within different categories of trapping sets, absorbing sets, and stopping sets in random regular and irregular LDPC code ensembles. (English) Zbl 1432.94165 IEEE Trans. Inf. Theory 65, No. 10, 6022-6043 (2019). MSC: 94B05 94B15 94C15 PDF BibTeX XML Cite \textit{A. Dehghan} and \textit{A. H. Banihashemi}, IEEE Trans. Inf. Theory 65, No. 10, 6022--6043 (2019; Zbl 1432.94165) Full Text: DOI arXiv OpenURL
Zhang, Shaohua A note on Pósa’s inequality. (Chinese. English summary) Zbl 1449.11017 J. Shandong Univ., Nat. Sci. 54, No. 7, 124-126 (2019). MSC: 11A41 11A99 PDF BibTeX XML Cite \textit{S. Zhang}, J. Shandong Univ., Nat. Sci. 54, No. 7, 124--126 (2019; Zbl 1449.11017) OpenURL
Granville, Andrew Number theory revealed: a masterclass. (English) Zbl 1454.11002 Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4158-6/hbk; 978-1-4704-5424-1/ebook). xxviii, 587 p. (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11A55 11B30 11B39 11D09 11D25 11N05 11N25 PDF BibTeX XML Cite \textit{A. Granville}, Number theory revealed: a masterclass. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1454.11002) OpenURL
Granville, Andrew Number theory revealed: an introduction. (English) Zbl 1454.11001 Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4157-9/hbk; 978-1-4704-5423-4/ebook). xxiv, 264 p. (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11A05 11A07 11A15 11A41 11A51 11B39 11D04 11D07 PDF BibTeX XML Cite \textit{A. Granville}, Number theory revealed: an introduction. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1454.11001) OpenURL