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11A07 Congruences; primitive roots; residue systems (65 articles)

• Sun, Zhi-Hong: Congruences for certain families of Apéry-like sequences. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 3, pp. 875-912
• Chandran, Arya; Thomas, Neha Elizabeth; Namboothiri, K. Vishnu: A Menon-type identity using Klee's function. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 1, pp. 165-176
• Liu, Ji-Cai; Ni, He-Xia: On two supercongruences involving Almkvist-Zudilin sequences. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 4, pp. 1211-1219
• Guo, Victor J. W.; Wei, Chuanan: A $q$-congruence for a truncated $_{4}\varphi _{3}$ series. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 4, pp. 1157-1165
• Gu, Cheng-Yang; Guo, Victor J. W.: $q$-analogues of two supercongruences of Z.-W. Sun. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 3, pp. 757-765
• Tang, Min-wei; Wu, Zhi-Yi: Some results on Poincaré sets. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 3, pp. 891-903
• Gadiyar, Gopalakrishna Hejmadi; Padma, Ramanathan: The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 4, pp. 1115-1124
• Meštrović, Romeo: Congruences for Wolstenholme primes. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 1, pp. 237-253
• Sawkmie, Amplify; Singh, Madan Mohan: On the tree structure of the power digraphs modulo $n$. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 4, pp. 923-945
• Nan, Jizhu; Wei, Yangjiang; Tang, Gaohua: The fundamental constituents of iteration digraphs of finite commutative rings. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 199-208
• Ju, Tengxia; Wu, Meiyun: On iteration digraph and zero-divisor graph of the ring $\mathbb {Z}_n$. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 3, pp. 611-628
• Lee, Jung-Jo: Congruences for certain binomial sums. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 1, pp. 65-71
• Meštrović, Romeo: Congruences involving the Fermat quotient. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 4, pp. 949-968
• Meštrović, Romeo: An elementary proof of a congruence by Skula and Granville. (English). Archivum Mathematicum, vol. 48 (2012), issue 2, pp. 113-120
• Meštrović, Romeo: A note on the congruence ${np^k\choose mp^k} \equiv {n\choose m} \pmod {p^r}$. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 1, pp. 59-65
• Ahmad, Uzma; Syed, Husnine: On the heights of power digraphs modulo $n$. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 2, pp. 541-556
• Wei, Yangjiang; Nan, Jizhu; Tang, Gaohua: Structure of cubic mapping graphs for the ring of Gaussian integers modulo $n$. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 2, pp. 527-539
• Ahmad, Uzma; Husnine, Syed: Characterization of power digraphs modulo $n$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 3, pp. 359-367
• Wei, Yangjiang; Nan, Jizhu; Tang, Gaohua: The cubic mapping graph for the ring of Gaussian integers modulo $n$. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 4, pp. 1023-1036
• Somer, Lawrence; Křížek, Michal: The structure of digraphs associated with the congruence $x^k\equiv y \pmod n$. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 2, pp. 337-358
• Klaška, Jiří: Criteria for testing Wall's question. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1241-1246
• Křížek, Michal; Šolcová, Alena; Somer, Lawrence: Construction of Šindel sequences. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 3, pp. 373-388
• Somer, Lawrence; Křížek, Michal: On semiregular digraphs of the congruence $x^k\equiv y \pmod n$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 41-58
• Klaška, Jiří: Short remark on Fibonacci-Wieferich primes. (English). Acta Mathematica Universitatis Ostraviensis, vol. 15 (2007), issue 1, pp. 21-25
• Ericksen, Larry: Iterated digit sums, recursions and primality. (English). Acta Mathematica Universitatis Ostraviensis, vol. 14 (2006), issue 1, pp. 27-35
• Gun, S.; Ramakrishnan, B.; Sahu, B.; Thangadurai, R.: Distribution of quadratic non-residues which are not primitive roots. (English). Mathematica Bohemica, vol. 130 (2005), issue 4, pp. 387-396
• Rotkiewicz, A.: On pseudoprimes having special forms and a solution of K. Szymiczek’s problem. (English). Acta Mathematica Universitatis Ostraviensis, vol. 13 (2005), issue 1, pp. 57-71
• Somer, Lawrence; Křížek, Michal: On a connection of number theory with graph theory. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 2, pp. 465-485
• Křížek, Michal; Somer, Lawrence: Sophie Germain little suns. (English). Mathematica Slovaca, vol. 54 (2004), issue 5, pp. 433-442
• Křížek, Michal; Somer, Lawrence: 17 necessary and sufficient conditions for the primality of Fermat numbers. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 11 (2003), issue 1, pp. 73-79
• Rotkiewicz, A.: On Lucas pseudoprimes of the form $ax^2+bxy+cy^2$ in arithmetic progression $AX+B$ with a prescribed value of the Jacobi symbol. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 103-109
• Křížek, Michal; Somer, Lawrence: A necessary and sufficient condition for the primality of Fermat numbers. (English). Mathematica Bohemica, vol. 126 (2001), issue 3, pp. 541-549
• Seibert, Jaroslav; Trojovský, Pavel: On divisibility of one special type of numbers. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 9 (2001), issue 1, pp. 67-73
• Rotkiewicz, Andrzej: Arithmetic progressions formed by pseudoprimes. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 8 (2000), issue 1, pp. 61-74
• Henriksen, Melvin; Smith, F. A.: The Bordalo order on a commutative ring. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 3, pp. 429-440
• Slavutskii, I. Sh.: Leudesdorf's theorem and Bernoulli numbers. (English). Archivum Mathematicum, vol. 35 (1999), issue 4, pp. 299-303
• Skula, Ladislav: Fermat and Wilson quotients for $p$-adic integers. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 167-181
• Jakubec, Stanislav: Note on the congruences $2^{p-1}\equiv 1\pmod {p^2}$, $3^{p-1}\equiv 1\pmod {p^2}$, $5^{p-1}\equiv 1\pmod {p^2}$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 115-120
• Jakubec, Stanislav: Criterion for 3 to be eleventh power. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 3 (1995), issue 1, pp. 37-(43)
• Porubský, Štefan: Identities involving covering systems. I. (English). Mathematica Slovaca, vol. 44 (1994), issue 2, pp. 153-162
• Porubský, Štefan: Identities involving covering systems. II. (English). Mathematica Slovaca, vol. 44 (1994), issue 5, pp. 555-568
• Holgate, P.: Logarithmetics and quasigroup structure. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 293-304
• Korec, Ivan: Disjoint covering systems and product-invariant relations. (English). Mathematica Slovaca, vol. 35 (1985), issue 3, pp. 233-237
• Korec, Ivan: Results on disjoint covering systems on the ring of integers. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 2, pp. 365-368
• Abrhan, Imrich: О простых идеалах в группоидах и в мультипликативных полугруппах классов вычетов (mod m). (Russian) [On prime ideals in groupoids and in multiplicative semigroups of residue classes (mod m)]. Mathematica Slovaca, vol. 34 (1984), issue 2, pp. 121-133
• Voigt, B.: A common generalization of binomial coefficients, Stirling numbers and Gaussian Coefficientes. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [339]-359
• Schwarz, Štefan: Extensions of Bauer's identical congruences. (English). Mathematica Slovaca, vol. 33 (1983), issue 2, pp. 209-224
• Schwarz, Štefan: The role of semigroups in the elementary theory of numbers. (English). Mathematica Slovaca, vol. 31 (1981), issue 4, pp. 369-395
• Porubský, Štefan: Generalization of Some Results for Exactly Covering Systems. (English). Matematický časopis, vol. 22 (1972), issue 3, pp. 208-214
• Koutský, Karel K Lerchovým pracím o Fermatově kvocientu (Czech). Práce Moravské přírodovědecké společnosti 18, Brno 1947, 1-7
• Petr, Karel: Geometrický důkaz poučky Wilsonovy. (Czech) [Geometric proof of Wilson's theorem]. Časopis pro pěstování mathematiky a fysiky, vol. 34 (1905), issue 2, pp. 164-166
• Lerch, Matyáš Zur Theorie des Fermatschen Quotienten $\frac{a^p-1}{p} = q(a)$ (German) [On the theory of Fermat quotients $\frac{a^p-1}{p} = q(a)$]. Math. Ann. 60 (1905), 471--490
• Bělohlávek, Ferdinand: Poznámka o dělitelnosti čísel. (Czech) [A remark on the divisibility of numbers]. Časopis pro pěstování mathematiky a fysiky, vol. 23 (1894), issue 1, pp. 59-60
• Jung, Vilém: Příspěvek k nauce o číslech. (Czech) [A contribution to the number theory]. Časopis pro pěstování mathematiky a fysiky, vol. 14 (1885), issue 1, pp. 30-35
• Šimerka, Václav: Zbytky z arithmetické posloupnosti. (Czech) [On reminders from arithmetical sequence]. Časopis pro pěstování mathematiky a fysiky, vol. 14 (1885), issue 5, pp. 221-225
• Šimerka, Václav: Jednočlenné perioda zbytků z mocnin s předcházejícími členy. (Czech) [On the solution of the congruence $C^2\equiv C(\text{mod.} M)$]. Časopis pro pěstování mathematiky a fysiky, vol. 13 (1884), issue 5, pp. 259-264
• Šimerka, Václav: Über die Auflösung der Congruenz $C^2\equiv C, (\text{mod.} M)$. (German) [On the solution of the congruence $C^2\equiv C, (\text{mod.} M)$]. Časopis pro pěstování mathematiky a fysiky, vol. 13 (1884), issue 4, pp. 236-238
• Jung, Vilém: Příspěvek k nauce o číslech. (Czech) [A contribution to the theory of numbers]. Časopis pro pěstování mathematiky a fysiky, vol. 8 (1879), issue 4, pp. 184-185
• Studnička, František Josef: Gaussiana. (Czech) [Gaussianea [From the correspondence of Gauss]]. Časopis pro pěstování mathematiky a fysiky, vol. 6 (1877), issue 4, pp. 197-200
• Šimerka, Václav: Řetězové pravidlo u shod. (Czech) [A chain rule for congruences]. Časopis pro pěstování mathematiky a fysiky, vol. 6 (1877), issue 5, pp. 274-277
• Šimerka, Václav: Součty celých v lomené arithmetické posloupnosti. [I.]. (Czech) [Sums of integers in the fractional arithmetic sequence. [I.]]. Časopis pro pěstování mathematiky a fysiky, vol. 5 (1876), issue 1, pp. 39-47
• Studnička, František Josef: Základové nauky o číslech. [I.]. (Czech) [Foundations of the number theory. [I.]]. Časopis pro pěstování mathematiky a fysiky, vol. 4 (1875), issue 3, pp. 97-115
• Studnička, František Josef: Základové nauky o číslech. [II.]. (Czech) [Foundations of the number theory. [II.]]. Časopis pro pěstování mathematiky a fysiky, vol. 4 (1875), issue 4, pp. 145-166
• Studnička, František Josef: Základové nauky o číslech. [III.]. (Czech) [Foundations of the number theory. [III.]]. Časopis pro pěstování mathematiky a fysiky, vol. 4 (1875), issue 5, pp. 193-208
• Studnička, František Josef: Základové nauky o číslech. [IV.]. (Czech) [Foundations of the number theory. [IV.]]. Časopis pro pěstování mathematiky a fysiky, vol. 4 (1875), issue 6, pp. 241-245