The most cited mathematical papers up to 1971 [MYRIAD]

## ## ###### #### ## ## ## #### ###### ###### ## ## ## ## ## #### ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ###### ## ## ###### ###### ## #### The most cited mathematical papers up to 1971 [Incomplete] In 1971 Joseph A. Schatz made a study of the most frequently cited mathematical papers in the Mathematical Citations Index. He published a list of 37 papers which had at that time been cited more than 50 times in the literature he examined. MYRIAD is proud to bring you 30 of those 37 papers free as a service to the mathematical community. We still have a 'hitlist' of the following 7 papers which we would like to add to this torrent; if you have access to any of them through your university or otherwise, you can pass them on to MYRIAD at [email protected] /* */: 10. Alexandre Grothendieck, Sur quelques points d'algebre homologique, Tohoku Math. J. (2) 9 (1957), 119-221. MR 21 #1328. 18. M. G. Krein and M. A. Rutman, Linear operators leaving invariant a cone in a Banach space, Uspehi Mat. Nauk 3 (1948), no. 1 (23), 3-95; English transl., Amer. Math. Soc. Transl. no. 26 (1950); Reprint of translation, Amer. Math. Soc. Transl. (1) 10 (1962), 199-325. MR 10, #256; MR 12, #341. 19. J. Leray et J. Schauder, Topologie et equations fonctionnelles, Ann. Sci. Ecole Norm. Sup. (3) 51 (1934), 45-78. 22. Louis Nirenberg, Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math. 8 (1955), 649-675. MR 17, #742. 23. D. Rees, On semi-groups, Proc. Cambridge Philos. Soc. 36 (1940), 387-400. MR 2, #127. 30. Rene Thom, Espaces fibres en spheres et carres de Steenrod, Ann. Sci. Ecole Norm. Sup. (3) 69 (1952), 109-182. MR 14, #1004. 37. E. Witt, Treue Darstellung Liescher Ringe, J. Reine Angew. Math. 177 (1937), 152-160. This torrent includes the original paper listing the 37 'super classics' and a list of links to the eight papers among the 30 here which are accessible online. The complete list of papers which are here is: 1. Lars Ahlfors and Arne Beurling, Conformal invariants and function-theoretic null-sets, Acta Math. 83 (1950), 101-129. MR 12, #171. 2. Armand Borel, Sur la cohomologie des espaces fibres principaux et des espaces homogenes de groupes de Lie compacts, Ann. of Math. (2) 57 (1953), 115-207. MR 14, #490. 3. E. Cech, On bicompact spaces, Ann. of Math. (2) 38 (1937), 823-844. 4. I. S. Cohen, On the structure and ideal theory of complete local rings, Trans. Amer. Math. Soc. 59 (1946) 54-106. MR 7, #509. 5. Jean Dieudonne et Laurent Schwartz, La dualite dans les espaces (F ) et (LF ), Ann. Inst. Fourier (Grenoble) 1 (1949), 61-101 (1950). MR 12, #417. 6. Samuel Eilenberg and Saunders Mac Lane, Cohomology theory in abstract groups. I, Ann. of Math. (2) 48 (1947), 51-78. MR 8, #367. 7. Lars Garding, Dirichlet's problem for linear elliptic partial differential equations, Math. Scand. 1 (1953), 55-72. MR 16, #366. 8. I. M. Gel'fand, Normierte Ringe, Mat. Sb. 9 (51) (1941), 3-24. MR 3, #51. 9. K. Godel, Uber formal unentscheidbare Satze der Principia Mathematica und verwandter Systeme. I, Monatsh. Math. Phys. 38 (1931), 173-198. 11. Marshall Hall, Projective planes, Trans. Amer. Math. Soc. 54 (1943), 229-277. MR 5, #72. 12. P. Hall, A contribution to the theory of groups of prime-power order, Proc. London Math. Soc. (2) 36 (1933), 29-95. 13. Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45-99. MR 10, #126. 14. Lars Hormander, On the theory of general partial differential operators, Acta Math. 94 (1955), 161-248. MR 17, #853. 15. Kenkichi Iwasawa, On some types of topological groups, Ann. of Math. (2) 50 (1949), 507-558. MR 10, #679. 16. N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945), 300-320. MR 7, #2. 17. Shizuo Kakutani, Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.), Ann. of Math. (2) 42 (1941), 994-1024. MR 3, #205. 18. M. G. Krein and M. A. Rutman, Linear operators leaving invariant a cone in a Banach space, Uspehi Mat. Nauk 3 (1948), no. 1 (23), 3-95; English transl., Amer. Math. Soc. Transl. no. 26 (1950); Reprint of translation, Amer. Math. Soc. Transl. (1) 10 (1962), 199-325. MR 10, #256; MR 12, #341. 20. Edwin E. Moise, A fine structures in 3-manifolds. V. The triangulation theorem and Hauptvermutung, Ann. of Math. (2) 56 (1952), 96-114. MR 14, #72. 21. F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), 116-229. 24. Jean-Pierre Serre, Homologie singuliere des espaces fibres. Applications, Ann. of Math. (2) 54 (1951), 425-505. MR 13, #574. 25. Jean-Pierre Serre, Groupes d'homotopie et classes de groupes abeliens, Ann. of Math. (2) 58 (1953), 258-294. MR 15, #548. 26. Jean-Pierre Serre, Faisceaux algebriques coherents, Ann. of Math. (2) 61 (1955), 197-278. MR 16, #953. 27. A. H. Stone, Paracompactness and product spaces, Bull. Amer. Math. Soc. 54 (1948), 977-982. MR 10, #204. 28. M. H. Stone, The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. 40 (1936), 37-111. 29. M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 375-481. 31. Rene Thom, Quelques proprietes globales des varietes differentiables, Comment. Math. Helv. 28 (1954),17-86. MR 15, #890. 32. A. D. Wallace, The structure of topological semigroups, Bull. Amer. Math. Soc. 61 (1955), 95-112. MR 16, #796. 33. H. Weyl, Uber gewohnliche Differentialgleichungen mit Singularitaten und die zugehorigen Entwicklungen willkurlicher Funktionen, Math. Ann. 68 (1910), 220-269. 34. George W. Whitehead, A generalization of the Hopf invariant, Ann. of Math. (2) 51 (1950), 192-237. MR 12, #847. 35. J. H. C. Whitehead, Simplicial speces, nuclei and m-groups, Proc. London Math. Soc. (2) 45 (1939), 243-327. 36. J. H. C. Whitehead, Combinatorial homotopy. I, Bull. Amer. Math. Soc. 55 (1949), 213-245. MR 11, #48. MYRIAD FAQ: *What is MYRIAD? MYRIAD is a nontraditional warez group specialising in making mathematical research papers available for all. *Why? Mathematical research should be freely accessible, so research does not need to be duplicated unnecessarily. Mathematicians write, referee and edit journal articles for free, which are then sold back to the community by commercial publishers and universities. *But $JOURNAL now has a free access policy.. We are targeting those journals for which this is not true. We will remove papers from our distributions on request if they are accessible to all online from either the publisher or the author. *Do you have $PAPER? We are trying to build a large collection of papers in electronic form, from which the publishers' watermarks have been removed. So far we only got to papers/journals which are very well known. This will change - we are planning ftp servers, irc bots etc. *How can I help? By seeding, by downloading papers which meet our criteria and passing them on to MYRIAD if you have institutional access, by handing over logins so we can use your institutional access, by helping us if you have technical skills that could be useful, or by letting us know which papers in your field are important and should be made available. *Contact? [email protected] /* */

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