Leinster, Tom Entropy modulo a prime. (English) Zbl 07374450 Commun. Number Theory Phys. 15, No. 2, 279-314 (2021). MSC: 60Exx 19Fxx 94A17 11A07 11A99 11T06 13N15 PDF BibTeX Cite \textit{T. Leinster}, Commun. Number Theory Phys. 15, No. 2, 279--314 (2021; Zbl 07374450) Full Text: DOI
Mao, Guo-Shuai Proof of a conjecture of Adamchuk. (English) Zbl 07365375 J. Comb. Theory, Ser. A 182, Article ID 105478, 16 p. (2021). MSC: 11Bxx 11Axx 05Axx PDF BibTeX Cite \textit{G.-S. Mao}, J. Comb. Theory, Ser. A 182, Article ID 105478, 16 p. (2021; Zbl 07365375) Full Text: DOI
Farhadian, Reza; Jakimczuk, Rafael A note on the asymptotic behavior of the distribution function of a general sequence. (English) Zbl 07362514 Ann. Math. Sil. 35, No. 1, 44-54 (2021). MSC: 97I30 11B83 11B73 11B99 11B65 11A99 40A05 PDF BibTeX Cite \textit{R. Farhadian} and \textit{R. Jakimczuk}, Ann. Math. Sil. 35, No. 1, 44--54 (2021; Zbl 07362514) Full Text: DOI
Diwan, Ajit A. Explicit \(\Delta \)-edge-coloring of consecutive levels in a divisor lattice. (English) Zbl 07358466 Discrete Math. 344, No. 8, Article ID 112485, 4 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{A. A. Diwan}, Discrete Math. 344, No. 8, Article ID 112485, 4 p. (2021; Zbl 07358466) Full Text: DOI
Kim, Sun A combinatorial proof of a recurrence relation for the sum of divisors function. (English) Zbl 07354712 Int. J. Number Theory 17, No. 3, 647-653 (2021). MSC: 05A17 11P81 PDF BibTeX Cite \textit{S. Kim}, Int. J. Number Theory 17, No. 3, 647--653 (2021; Zbl 07354712) Full Text: DOI
Dresden, Greg; Wang, Yichen Sums and convolutions of \(K\)-Bonacci and \(K\)-Lucas numbers. (English) Zbl 07354563 Integers 21, Paper A56, 16 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{G. Dresden} and \textit{Y. Wang}, Integers 21, Paper A56, 16 p. (2021; Zbl 07354563) Full Text: Link
Geneson, Jesse A generalization of the Kővári-Sós-Turán theorem. (English) Zbl 07354561 Integers 21, Paper A54, 12 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{J. Geneson}, Integers 21, Paper A54, 12 p. (2021; Zbl 07354561) Full Text: Link
Axler, Christian; Hassani, Mehdi Carleman’s inequality over prime numbers. (English) Zbl 07354560 Integers 21, Paper A53, 12 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{C. Axler} and \textit{M. Hassani}, Integers 21, Paper A53, 12 p. (2021; Zbl 07354560) Full Text: Link
Kellner, Bernd C.; Sondow, Jonathan On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-\(p\) digits. (English) Zbl 07354559 Integers 21, Paper A52, 21 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{B. C. Kellner} and \textit{J. Sondow}, Integers 21, Paper A52, 21 p. (2021; Zbl 07354559) Full Text: Link
Yip, Chi Hoi On the directions determined by Cartesian products and the clique number of generalized Paley graphs. (English) Zbl 07354558 Integers 21, Paper A51, 31 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{C. H. Yip}, Integers 21, Paper A51, 31 p. (2021; Zbl 07354558) Full Text: Link
Bertrand-Mathis, Anne; Ndong, Florent Nguema Perron numbers and positive matrices of minimal order. (English) Zbl 07354557 Integers 21, Paper A50, 15 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{A. Bertrand-Mathis} and \textit{F. N. Ndong}, Integers 21, Paper A50, 15 p. (2021; Zbl 07354557) Full Text: Link
Peng, Junyao; Zhang, Yong On certain Diophantine equations involving triangular numbers. (English) Zbl 07354556 Integers 21, Paper A49, 11 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{J. Peng} and \textit{Y. Zhang}, Integers 21, Paper A49, 11 p. (2021; Zbl 07354556) Full Text: Link
Goubi, Mouloud On a generalized family of Euler-Genocchi polynomials. (English) Zbl 07354555 Integers 21, Paper A48, 13 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{M. Goubi}, Integers 21, Paper A48, 13 p. (2021; Zbl 07354555) Full Text: Link
Locke, S. C.; Handley, B. Amalgamation Nim. (English) Zbl 07354553 Integers 21, Paper G2, 14 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{S. C. Locke} and \textit{B. Handley}, Integers 21, Paper G2, 14 p. (2021; Zbl 07354553) Full Text: Link
Low, Richard M.; Kapbasov, Ardak; Kapbasov, Arman; Locke, Stephen C.; Chan, W. H. A codex of \(\mathcal{N}\)- and \(\mathcal{P}\)-positions in Harary’s ’caterpillar game’. (English) Zbl 07354552 Integers 21, Paper G1, 26 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{R. M. Low} et al., Integers 21, Paper G1, 26 p. (2021; Zbl 07354552) Full Text: Link
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 Cite \textit{D. Hachenberger}, J. Algebr. Comb. 53, No. 1, 85--114 (2021; Zbl 07347319) Full Text: DOI
Eichhorn, Dennis; Nam, Hayan; Sohn, Jaebum A tiling proof of Euler’s pentagonal number theorem and generalizations. (English) Zbl 07344948 Ramanujan J. 54, No. 3, 613-624 (2021). MSC: 11P84 05A17 05A19 11P81 PDF BibTeX Cite \textit{D. Eichhorn} et al., Ramanujan J. 54, No. 3, 613--624 (2021; Zbl 07344948) Full Text: DOI
Kaye, Ian; Narad, Rampersad The Abelian complexity of infinite words and the Frobenius problem. (English) Zbl 07342431 Integers 21, Paper A46, 20 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{I. Kaye} and \textit{R. Narad}, Integers 21, Paper A46, 20 p. (2021; Zbl 07342431) Full Text: Link
Marcovici, Irène; Stoll, Thomas; Tahay, Pierre-Adrien Discrete correlations of order 2 of generalized Golay-Shapiro sequences: a combinatorial approach. (English) Zbl 07342430 Integers 21, Paper A45, 21 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{I. Marcovici} et al., Integers 21, Paper A45, 21 p. (2021; Zbl 07342430) Full Text: Link
Chen, Fang From a Hungary-Israel contest problem. (English) Zbl 07342429 Integers 21, Paper A44, 13 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{F. Chen}, Integers 21, Paper A44, 13 p. (2021; Zbl 07342429) Full Text: Link
Brenner, Hazel N.; Depret-Guillaume, James S.; Palsson, Eyvindur A.; Senger, Steven Uniqueness of optimal point sets determining two distinct triangles. (English) Zbl 07342428 Integers 21, Paper A43, 15 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{H. N. Brenner} et al., Integers 21, Paper A43, 15 p. (2021; Zbl 07342428) Full Text: Link
Agoh, Takashi A new property of Appell sequences and its application. (English) Zbl 07342427 Integers 21, Paper A42, 16 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{T. Agoh}, Integers 21, Paper A42, 16 p. (2021; Zbl 07342427) Full Text: Link
Christopher, A. David The number of parts in the (distinct) partitions with parts from a set. (English) Zbl 07342426 Integers 21, Paper A41, 22 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{A. D. Christopher}, Integers 21, Paper A41, 22 p. (2021; Zbl 07342426) Full Text: Link
Grubb, Thomas; Wolird, Christian Cyclotomic points and algebraic properties of polygon diagonals. (English) Zbl 07342425 Integers 21, Paper A40, 22 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{T. Grubb} and \textit{C. Wolird}, Integers 21, Paper A40, 22 p. (2021; Zbl 07342425) Full Text: Link
Choudhry, Ajai; Zargar, Arman Shamsi A sextic diophantine chain and a related Mordell curve. (English) Zbl 07342424 Integers 21, Paper A39, 12 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{A. Choudhry} and \textit{A. S. Zargar}, Integers 21, Paper A39, 12 p. (2021; Zbl 07342424) Full Text: Link
Prodinger, Helmut On third-order Pell polynomials. (English) Zbl 07342423 Integers 21, Paper A38, 6 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{H. Prodinger}, Integers 21, Paper A38, 6 p. (2021; Zbl 07342423) Full Text: Link
O’Kuhn, Cooper; Fellman, Todd The Mondrian puzzle: a bound concerning the \(M(n)=0\) case. (English) Zbl 07342422 Integers 21, Paper A37, 5 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{C. O'Kuhn} and \textit{T. Fellman}, Integers 21, Paper A37, 5 p. (2021; Zbl 07342422) Full Text: Link
Shallit, Jeffrey Abelian complexity and synchronization. (English) Zbl 07342421 Integers 21, Paper A36, 14 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{J. Shallit}, Integers 21, Paper A36, 14 p. (2021; Zbl 07342421) Full Text: Link
de Koninck, Jean-Marie; Doyon, Nicolas; Verreault, William Repetitions of multinomial coefficients and a generalization of Singmaster’s conjecture. (English) Zbl 07342419 Integers 21, Paper A34, 11 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{J.-M. de Koninck} et al., Integers 21, Paper A34, 11 p. (2021; Zbl 07342419) Full Text: Link
Tsai, Daniel A recurring pattern in natural numbers of a certain property. (English) Zbl 07342417 Integers 21, Paper A32, 16 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{D. Tsai}, Integers 21, Paper A32, 16 p. (2021; Zbl 07342417) Full Text: Link
Elliott, Jesse Harmonic numbers and the prime counting function. (English) Zbl 07342416 Integers 21, Paper A31, 33 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{J. Elliott}, Integers 21, Paper A31, 33 p. (2021; Zbl 07342416) Full Text: Link
Ushiroya, Noboru Shifted convolution sums of arithmetic functions of two variables and Ramanujan expansions. (English) Zbl 07342415 Integers 21, Paper A30, 15 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{N. Ushiroya}, Integers 21, Paper A30, 15 p. (2021; Zbl 07342415) Full Text: Link
Morrill, Thomas; Platt, David John Robin’s inequality for 20-free integers. (English) Zbl 07342413 Integers 21, Paper A28, 7 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{T. Morrill} and \textit{D. J. Platt}, Integers 21, Paper A28, 7 p. (2021; Zbl 07342413) Full Text: Link
Phillips, Reed; Hildebrand, A. J. The number of optimal strategies in the Penney-Ante game. (English) Zbl 07342412 Integers 21, Paper A27, 26 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{R. Phillips} and \textit{A. J. Hildebrand}, Integers 21, Paper A27, 26 p. (2021; Zbl 07342412) Full Text: Link
Dang, Sakshi; Nanoti, Saraswati; Tripathi, Amitabha Extensions of Midy’s theorem for periodic decimals. (English) Zbl 07342411 Integers 21, Paper A26, 13 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{S. Dang} et al., Integers 21, Paper A26, 13 p. (2021; Zbl 07342411) Full Text: Link
Noble, Matt Isomorphism classes of distance graphs in \(\mathbb{Q}^3\). (English) Zbl 07342410 Integers 21, Paper A25, 17 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{M. Noble}, Integers 21, Paper A25, 17 p. (2021; Zbl 07342410) Full Text: Link
Bradford, Kyle A note on the Erdős-Straus conjecture. (English) Zbl 07342409 Integers 21, Paper A24, 10 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{K. Bradford}, Integers 21, Paper A24, 10 p. (2021; Zbl 07342409) Full Text: Link
Franke, Johann Dirichlet series with trigonometric coefficients. (English) Zbl 07342408 Integers 21, Paper A23, 12 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{J. Franke}, Integers 21, Paper A23, 12 p. (2021; Zbl 07342408) Full Text: Link
Jha, Sumit Kumar Some nested sums in terms of the Riemann zeta function and the Dirichlet beta function. (English) Zbl 07342407 Integers 21, Paper A22, 3 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{S. K. Jha}, Integers 21, Paper A22, 3 p. (2021; Zbl 07342407) Full Text: Link
Pan, Minghao; Zhang, Wentao Quotients of Hurwitz primes. (English) Zbl 07342406 Integers 21, Paper A21, 9 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{M. Pan} and \textit{W. Zhang}, Integers 21, Paper A21, 9 p. (2021; Zbl 07342406) Full Text: Link
Rowland, Eric; Yassawi, Reem; Krattenthaler, Christian Lucas congruences for the apéry numbers modulo \(p^2\). (English) Zbl 07342405 Integers 21, Paper A20, 15 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{E. Rowland} et al., Integers 21, Paper A20, 15 p. (2021; Zbl 07342405) Full Text: Link
Schmidt, Maxie Dion Exact formulas for the generalized sum-of-divisors functions. (English) Zbl 07342404 Integers 21, Paper A19, 22 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{M. D. Schmidt}, Integers 21, Paper A19, 22 p. (2021; Zbl 07342404) Full Text: Link
Song, Kyunghwan The Frobenius problem for extended Thabit numerical semigroups. (English) Zbl 07342402 Integers 21, Paper A17, 31 p. (2021). MSC: 11Axx PDF BibTeX Cite \textit{K. Song}, Integers 21, Paper A17, 31 p. (2021; Zbl 07342402) Full Text: Link
Jakimczuk, Rafael Sums of fractional parts and sum of restricted divisors of a number. (English) Zbl 07341072 Gulf J. Math. 10, No. 1, 36-42 (2021). MSC: 11A99 11B99 PDF BibTeX Cite \textit{R. Jakimczuk}, Gulf J. Math. 10, No. 1, 36--42 (2021; Zbl 07341072)
Dujella, Andrej Number theory. Translated from the Croatian by Petra Švob. (English) Zbl 07333933 Manualia Universitatis Studiorum Zagrabiensis. Zagreb: Školska Knjiga (ISBN 978-953-0-30897-8). x, 621 p. (2021). MSC: 11-01 11Axx 11Bxx 11Dxx PDF BibTeX Cite \textit{A. Dujella}, Number theory. Translated from the Croatian by Petra Švob. Zagreb: Školska Knjiga (2021; Zbl 07333933)
Rasekh, Nima Every elementary higher topos has a natural number object. (English) Zbl 07333622 Theory Appl. Categ. 37, 337-377 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18B25 03G30 18N60 55U35 PDF BibTeX Cite \textit{N. Rasekh}, Theory Appl. Categ. 37, 337--377 (2021; Zbl 07333622) Full Text: Link
Bluher, Antonia W. New Wilson-like theorems arising from Dickson polynomials. (English) Zbl 07331812 Finite Fields Appl. 72, Article ID 101819, 30 p. (2021). MSC: 11T06 11A15 PDF BibTeX Cite \textit{A. W. Bluher}, Finite Fields Appl. 72, Article ID 101819, 30 p. (2021; Zbl 07331812) Full Text: DOI
Skopenkov, Arkadiy Mathematics via problems. Part 1. Algebra. Translated from the Russian by Paul Zeitz and Sergei G. Shubin. (English) Zbl 07317105 MSRI Mathematical Circles Library 25. Providence, RI: American Mathematical Society (AMS); Berkeley, CA: Mathematical Sciences Research Institute (MSRI) (ISBN 978-1-4704-4878-3/pbk; 978-1-4704-6288-8/ebook). xxi, 196 p. (2021). Reviewer: Radoslav M. Dimitrić (New York) MSC: 00-01 00A07 11-01 12-01 13-01 15-01 16-01 20-01 40-01 97H20 97H40 PDF BibTeX Cite \textit{A. Skopenkov}, Mathematics via problems. Part 1. Algebra. Translated from the Russian by Paul Zeitz and Sergei G. Shubin. Providence, RI: American Mathematical Society (AMS); Berkeley, CA: Mathematical Sciences Research Institute (MSRI) (2021; Zbl 07317105)
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 Cite \textit{M. D. Malykh} et al., J. Symb. Comput. 104, 563--579 (2021; Zbl 07312494) Full Text: DOI
Merca, Mircea Generalized Lambert series and Euler’s pentagonal number theorem. (English) Zbl 07302522 Mediterr. J. Math. 18, No. 1, Paper No. 29, 12 p. (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P81 05A17 05A19 PDF BibTeX Cite \textit{M. Merca}, Mediterr. J. Math. 18, No. 1, Paper No. 29, 12 p. (2021; Zbl 07302522) Full Text: DOI
Verhoeff, Tom Book review of: Benjamin Hutz, An experimental introduction to number theory. (Dutch) Zbl 07370156 Nieuw Arch. Wiskd. (5) 21, No. 1, 66-67 (2020). MSC: 00A17 11-01 11Yxx 11Axx 11Dxx 11G05 11Jxx 11R11 11T71 PDF BibTeX Cite \textit{T. Verhoeff}, Nieuw Arch. Wiskd. (5) 21, No. 1, 66--67 (2020; Zbl 07370156)
Svinin, A. K. On some sequences of polynomials generating the Genocchi numbers. (English. Russian original) Zbl 07351966 Russ. Math. 64, No. 9, 76-84 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 9, 85-95 (2020). MSC: 11Axx 11Bxx PDF BibTeX Cite \textit{A. K. Svinin}, Russ. Math. 64, No. 9, 76--84 (2020; Zbl 07351966); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 9, 85--95 (2020) Full Text: DOI
Murru, Nadir A note on the use of Rédei polynomials for solving the polynomial Pell equation and its generalization to higher degrees. (English) Zbl 07345293 Ramanujan J. 53, No. 3, 693-703 (2020). MSC: 11A99 11D41 11R09 PDF BibTeX Cite \textit{N. Murru}, Ramanujan J. 53, No. 3, 693--703 (2020; Zbl 07345293) Full Text: DOI
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 Cite \textit{S. B. Karmakar}, J. Math. Cryptol. 14, 143 (2020; Zbl 07342608) Full Text: DOI
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 Cite \textit{S. B. Karmakar}, J. Math. Cryptol. 14, 139--142 (2020; Zbl 07342607) Full Text: DOI
Sorenson, Brianna; Sorenson, Jonathan; Webster, Jonathan An algorithm and estimates for the Erdős-Selfridge function. (English) Zbl 07319978 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 Cite \textit{B. Sorenson} et al., Open Book Ser. 4, 371--385 (2020; Zbl 07319978) Full Text: DOI
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 Cite \textit{M. V. Valueva} et al., Math. Comput. Simul. 177, 232--243 (2020; Zbl 07318097) Full Text: DOI
Bluher, Antonia W. A structure theorem for finite fields. (English) Zbl 07312714 Finite Fields Appl. 68, Article ID 101732, 12 p. (2020). MSC: 11T30 11T06 PDF BibTeX Cite \textit{A. W. Bluher}, Finite Fields Appl. 68, Article ID 101732, 12 p. (2020; Zbl 07312714) Full Text: DOI
Congera, Anaclet; Nyandwi, Servat Averages of the Piltz function on integers without prime factors in given intervals. (Moyenne de la fonction de Piltz sur les entiers sans facteur premier dans un intervalle.) (French) Zbl 07307781 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 63-91 (2020). MSC: 11A41 11A99 PDF BibTeX Cite \textit{A. Congera} and \textit{S. Nyandwi}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 63--91 (2020; Zbl 07307781) Full Text: Link
Rezig, Boualam; Ahmia, Moussa Total positivity of Toeplitz matrices of hyperlucas sequence. (English) Zbl 07306652 Integers 20, Paper A106, 18 p. (2020). MSC: 11Axx PDF BibTeX Cite \textit{B. Rezig} and \textit{M. Ahmia}, Integers 20, Paper A106, 18 p. (2020; Zbl 07306652) Full Text: Link
Agama, Theophilus Complete sets. (English) Zbl 07301230 Indian J. Pure Appl. Math. 51, No. 3, 817-824 (2020). MSC: 11Bxx 11Axx PDF BibTeX Cite \textit{T. Agama}, Indian J. Pure Appl. Math. 51, No. 3, 817--824 (2020; Zbl 07301230) Full Text: DOI
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 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
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 07290210 Rev. Hist. Math. 26, No. 1, 3-72 (2020). Reviewer: Davide Crippa (Praha) MSC: 01A55 01A60 11-03 97Axx PDF BibTeX Cite \textit{J. Boucard}, Rev. Hist. Math. 26, No. 1, 3--72 (2020; Zbl 07290210) 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 PDF BibTeX Cite \textit{T. Holm}, Modulare Arithmetik. Von den ganzen Zahlen zur Kryptographie. Wiesbaden: Springer Spektrum (2020; Zbl 1452.11002) Full Text: DOI
Krishnamachari, T. D.; Rao, K. Srinivasa Addendum to: “Hierarchies of palindromic sequences in the symmetric group \(S_n\)”. (English) Zbl 07282750 J. Ramanujan Soc. Math. Math. Sci. 7, No. 2, 137-144 (2020). MSC: 11A99 11B99 97A20 97F30 PDF BibTeX Cite \textit{T. D. Krishnamachari} and \textit{K. S. Rao}, J. Ramanujan Soc. Math. Math. Sci. 7, No. 2, 137--144 (2020; Zbl 07282750) Full Text: Link
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 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
Bravo, Jhon Jairo; Díaz, Maribel; Ramírez, José Luis The 2-adic and 3-adic valuation of the Tripell sequence and an application. (English) Zbl 07258894 Turk. J. Math. 44, No. 1, 131-141 (2020). MSC: 11A99 11B39 PDF BibTeX Cite \textit{J. J. Bravo} et al., Turk. J. Math. 44, No. 1, 131--141 (2020; Zbl 07258894) Full Text: Link
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 Cite \textit{O. Bordellès}, Arithmetic tales. Advanced edition. Cham: Springer (2020; Zbl 1452.11001) Full Text: DOI
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 Cite \textit{G. Wüstholz} and \textit{C. Fuchs}, Algebra. Für Studierende der Mathematik, Physik, Informatik. Wiesbaden: Springer Spektrum (2020; Zbl 1451.00005) Full Text: DOI
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 Cite \textit{B. W. Jordan} and \textit{Y. Zaytman}, J. Number Theory 217, 340--352 (2020; Zbl 1453.11041) Full Text: DOI
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 Cite \textit{D. Nyirenda}, Contrib. Discrete Math. 15, No. 1, 72--79 (2020; Zbl 1445.05016) Full Text: DOI
Jakimczuk, Rafael A simple proof of the existence of the Dickman function. (English) Zbl 07227789 Gulf J. Math. 8, No. 1, 15-22 (2020). MSC: 11A99 11B99 PDF BibTeX Cite \textit{R. Jakimczuk}, Gulf J. Math. 8, No. 1, 15--22 (2020; Zbl 07227789) Full Text: Link
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 Cite \textit{R. P. Brent}, Springer Proc. Math. Stat. 313, 323--347 (2020; Zbl 1437.11001) Full Text: DOI
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 Cite \textit{P. Leonetti} and \textit{C. Sanna}, Bull. Aust. Math. Soc. 101, No. 3, 389--395 (2020; Zbl 1461.11023) Full Text: DOI
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 Cite \textit{C. Wang} and \textit{A. J. Yee}, Adv. Math. 365, Article ID 107051, 19 p. (2020; Zbl 1439.11269) Full Text: DOI
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 Cite \textit{S. Chang} et al., Discrete Appl. Math. 277, 44--54 (2020; Zbl 1435.05114) Full Text: DOI
Holden, Joshua; Richardson, Pamela A.; Robinson, Margaret M. Counting fixed points and rooted closed walks of the singular map \(x \mapsto{x^{{x^n}}}\) modulo powers of a prime. (English) Zbl 07177474 \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 1, 12-28 (2020). MSC: 94Axx 11Axx 11Txx 11Kxx PDF BibTeX Cite \textit{J. Holden} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 1, 12--28 (2020; Zbl 07177474) Full Text: DOI
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 Cite \textit{K. Alladi}, Notices Am. Math. Soc. 67, No. 1, 68--71 (2020; Zbl 1431.00004) Full Text: DOI
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 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
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 Cite \textit{J. David} et al., J. Comb. Theory, Ser. A 172, Article ID 105200, 30 p. (2020; Zbl 1433.05084) Full Text: DOI
Austin, Jathan Generating Pythagorean triples of a given height. (English) Zbl 07276121 Missouri J. Math. Sci. 31, No. 2, 136-145 (2019). MSC: 11A99 11C20 11D09 PDF BibTeX Cite \textit{J. Austin}, Missouri J. Math. Sci. 31, No. 2, 136--145 (2019; Zbl 07276121) Full Text: DOI Euclid
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 Cite \textit{C. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 68, 257--285 (2019; Zbl 07263932) Full Text: DOI
Yamagami, Atsushi; Harada, Hideyuki On a generalization of a Lucas’ result on the Pascal’s triangle and Mersenne numbers. (English) Zbl 07262244 JP J. Algebra Number Theory Appl. 42, No. 2, 159-169 (2019). MSC: 11A99 PDF BibTeX Cite \textit{A. Yamagami} and \textit{H. Harada}, JP J. Algebra Number Theory Appl. 42, No. 2, 159--169 (2019; Zbl 07262244) Full Text: DOI
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 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
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 Cite \textit{C. S. Anabanti}, Quasigroups Relat. Syst. 27, No. 2, 175--180 (2019; Zbl 1435.20030) Full Text: Link
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 Cite \textit{A. Berkovich} and \textit{A. K. Uncu}, Ann. Comb. 23, No. 3--4, 549--560 (2019; Zbl 1431.11030) Full Text: DOI
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 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
Svinin, A. K.; Svinina, S. V. On some generalizations of sum of powers of natural numbers. (English. Russian original) Zbl 07156978 Russ. Math. 63, No. 8, 25-37 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 8, 31-44 (2019). MSC: 11Axx 00Axx 68-XX 11Bxx 05Axx PDF BibTeX Cite \textit{A. K. Svinin} and \textit{S. V. Svinina}, Russ. Math. 63, No. 8, 25--37 (2019; Zbl 07156978); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 8, 31--44 (2019) Full Text: DOI
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 Cite \textit{S. Zhang}, J. Shandong Univ., Nat. Sci. 54, No. 7, 124--126 (2019; Zbl 1449.11017) Full Text: DOI
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 Cite \textit{A. Granville}, Number theory revealed: a masterclass. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1454.11002)
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 Cite \textit{A. Granville}, Number theory revealed: an introduction. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1454.11001)
Zhang, Jin; Chen, Zhuoyu A note on the sequence related to Catalan numbers. (English) Zbl 1423.11061 Symmetry 11, No. 3, Paper No. 371, 5 p. (2019). MSC: 11B75 11B83 PDF BibTeX Cite \textit{J. Zhang} and \textit{Z. Chen}, Symmetry 11, No. 3, Paper No. 371, 5 p. (2019; Zbl 1423.11061) Full Text: DOI
Zhang, Wenpeng; Chen, Li On the Catalan numbers and some of their identities. (English) Zbl 1423.11062 Symmetry 11, No. 1, Paper No. 62, 9 p. (2019). MSC: 11B75 11B83 PDF BibTeX Cite \textit{W. Zhang} and \textit{L. Chen}, Symmetry 11, No. 1, Paper No. 62, 9 p. (2019; Zbl 1423.11062) Full Text: DOI
Bretti, Gabriella; Natalini, Pierpaolo; Ricci, Paolo Emilio A new set of Sheffer-Bell polynomials and logarithmic numbers. (English) Zbl 07129219 Georgian Math. J. 26, No. 3, 367-379 (2019). MSC: 11B73 05A10 11P81 33C99 PDF BibTeX Cite \textit{G. Bretti} et al., Georgian Math. J. 26, No. 3, 367--379 (2019; Zbl 07129219) Full Text: DOI
Shiu, Peter On Erdős’s last equation. (English) Zbl 07122661 Am. Math. Mon. 126, No. 9, 802-808 (2019). MSC: 11D45 11A99 PDF BibTeX Cite \textit{P. Shiu}, Am. Math. Mon. 126, No. 9, 802--808 (2019; Zbl 07122661) Full Text: DOI
Silva de Souza, C. H.; Tomazella, J. N. Erratum to “Magic \(p\)-dimensional cubes”. (English) Zbl 1437.11040 Acta Arith. 191, No. 1, 95-100 (2019). MSC: 11B75 05B15 11A99 PDF BibTeX Cite \textit{C. H. Silva de Souza} and \textit{J. N. Tomazella}, Acta Arith. 191, No. 1, 95--100 (2019; Zbl 1437.11040) Full Text: DOI
Ulas, Maciej; Żmija, Błażej On arithmetic properties of binary partition polynomials. (English) Zbl 1421.05014 Adv. Appl. Math. 110, 153-179 (2019). MSC: 05A15 05A17 11C08 11P81 PDF BibTeX Cite \textit{M. Ulas} and \textit{B. Żmija}, Adv. Appl. Math. 110, 153--179 (2019; Zbl 1421.05014) Full Text: DOI
Quintana, Yamilet; Ramírez, William; Urieles, Alejandro Generalized Apostol-type polynomial matrix and its algebraic properties. (English) Zbl 1449.11039 Math. Rep., Buchar. 21(71), No. 2, 249-264 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B68 11B83 11C08 11B39 33B99 PDF BibTeX Cite \textit{Y. Quintana} et al., Math. Rep., Buchar. 21(71), No. 2, 249--264 (2019; Zbl 1449.11039)
Cha, Byungchul; Claman, Adam; Harrington, Joshua; Liu, Ziyu; Maldonado, Barbara; Miller, Alexander; Palma, Ann; Wong, Tony W. H.; Yi, Hongkwon An investigation on partitions with equal products. (English) Zbl 1453.11128 Int. J. Number Theory 15, No. 8, 1731-1744 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11P81 11C08 11A99 PDF BibTeX Cite \textit{B. Cha} et al., Int. J. Number Theory 15, No. 8, 1731--1744 (2019; Zbl 1453.11128) Full Text: DOI
Yu, Han Erdös semi-groups, arithmetic progressions, and Szemerédi’s theorem. (English) Zbl 07088966 Real Anal. Exch. 44, No. 1, 101-118 (2019). MSC: 11B05 11B25 26A03 28A80 37A44 PDF BibTeX Cite \textit{H. Yu}, Real Anal. Exch. 44, No. 1, 101--118 (2019; Zbl 07088966) Full Text: DOI Euclid