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11A15 Power residues, reciprocity (20 articles)

• Sun, Zhi-Wei: The tangent function and power residues modulo primes. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 3, pp. 971-978
• Jafari, Amir; Rostamkhani, Farhood: On ternary quadratic forms over the rational numbers. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 4, pp. 1105-1119
• Cipu, Mihai: Complete solution of the Diophantine equation $x^y+y^x=z^z$. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 2, pp. 479-484
• 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
• Ahmad, Uzma; Syed, Husnine: On the heights of power digraphs modulo $n$. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 2, pp. 541-556
• Ahmad, Uzma; Husnine, Syed: Characterization of power digraphs modulo $n$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 3, pp. 359-367
• Deng, Guixin; Yuan, Pingzhi: Isomorphic digraphs from powers modulo $p$. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 3, pp. 771-779
• 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
• Skowronek-Kaziów, J.: Properties of digraphs connected with some congruence relations. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 1, pp. 39-49
• 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
• 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
• 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
• 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
• Jakubec, Stanislav: Note on the cubic residues. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 5 (1997), issue 1, pp. 61-63
• Lepka, Karel Matyáš Lerch's work on number theory (English). Masarykova univerzita, Brno 1995, 78 str.
• Faddějev, D. K.: O devátém Hilbertově problému. (Czech) [Hilbert's ninth problem]. Pokroky matematiky, fyziky a astronomie, vol. 18 (1973), issue 2, pp. 90-96
• Lerch, Matyáš O jisté arithmetické větě Zolotareva (Czech) [On an arithmetical theorem of Zolotarev]. Rozpravy Čes. akademie, II. tř., 5 (1896), 8. 17, 1--8
• Lerch, Matyáš Sur un théorème arithmétique de Zolotarev (French) [On a theorem of Zolotarev]. Bulletin int. de l’Ac. Prague 3 (1896), 34--37
• Lerch, Matyáš Modification de la troisième démonstration donnée par Gauss de la loi de réciprocité de Legendre (French) [Modification of the third of Gauss’ proofs of Legendre’s reciprocity law]. Jornal des sciencias mathematicas e astronomicas, Coimbra, 8 (1887), 137--146