References
R.C. Bose, S. S. Shrikhande, and E. T. Parker, “Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler’s Conjecture,” Canad. J. Math. 12, 189–203 (1960).
R. C. Bose and S. S. Shrikhande, “On the Falsity of Euler’s Conjecture about the Nonexistence of Two Orthogonal Latin Squares of Order 4t + 2,” Proc. Nat. Acad. Sci. USA 45, 734–737 (1959).
A. Cauchy, “Recherches sur les polyèdres,” J. École Polytechnique, XVI e Cahier 9, 68–83 (1813).
L. Euler, “Elementa doctrinae solidorum - Demonstratio nonnullaruminsigniumproprietatum, quibus solida hedris planis inclusa sunt praedita,” Novi commentarii Academiae scientiarum imperialis Petropolitanae 4, 109–140 (1752–1753).
L. Euler, “Demonstratio theorematis circa ordinem in summis divisorum observatum,” Novi commentarii Academiae scientiarum imperialis Petropolitanae 5, 75–83 (1760).
L. Euler, “De quadratis magicis,” Mem. Soc. Flessingue, Comm. Arith. Collect. (Éloge St.Petersburg 1783) 2, 593–602 (1849).
L. Euler, “Recherches sur une nouvelle espece de quarres magiques,” Verhandelingen uitgegeven door het Zeeuwsch Genootschap derWetenschappen te Vlissengen 9, 85–239 (1782); Commentationes Arithmeticae 1, 302–361 (1849); in Opera Omnia (Teubner and O. Füssli, Leipzig, 1923), Ser. 1, Vol. 7, pp. 291–392.
L. Euler, “Solutio Problematis ad Geometriam Situs Pertinentis,” Commentarii Academiae Scientiarum Imperialis Petropolitanae 8, 128–140 (1741); in Opera Omnia (Teubner and O. F üssli, Leipzig, 1923), Ser. 1, Vol. 7, pp. 1–10.
L. Euler, “Solution d’une question curieuse que ne paroit soumiseò aucune analyse,” Mémoires de l’Académie des Sciences de Berlin 15(1759), 310–337 (1766); Commentationes Arithmeticae 1, 337–355 (1849); in Opera Omnia (Teubner and O. Füssli, Leipzig, 1923), Ser. 1, Vol. 7, pp. 26–56.
L. Euler, Letters to Scientists (Izd. Akad. Nauk SSSR, Moscow, 1963) [in Russian].
R. A. Fisher, Statistical Methods for Research Workers (Oliver & Boyd, Edinburg, 1925).
R. A. Fisher, “The Arrangement of Field Experiments,” J. Ministry Agriculture 33, 503–513 (1926).
Ch. F. Laywine and G. L. Mullen, Discrete Mathematics Using Latin Squares (Wiley, New York, 1998).
E. T. Parker, “Orthogonal Latin Squares,” Proc. Nat. Acad. Sci. USA 45, 859–862 (1959).
H. Poincaré, “Analysis Situs”, J. École Polytechnique, Ser. 2, 1, 1–123 (1895)
G. Tarry, “Le problème des 36 officers”, Compt. Rend. Ser. Math., Astron., Géod. Mécan. 29, 170–203 (1900)
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.M. Zubkov, 2008, published in Sovremennye Problemy Matematiki, 2008, Vol. 11, pp. 5–18.
Rights and permissions
About this article
Cite this article
Zubkov, A.M. Euler and combinatorial calculus. Proc. Steklov Inst. Math. 274 (Suppl 1), 162–168 (2011). https://doi.org/10.1134/S0081543811070030
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0081543811070030