MR 392858 | Zbl 0323.10005 | 6 citations in Numdam

[1] Baker (A.). - Transcendental number theory. - Cambridge, Cambridge University Press, 1975. | MR 422171 | Zbl 0297.10013

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[10] Erdös (P.). - On consecutive integers, Nieuw Arch. voor Wisk., t. 3, 1955, p. 124-128. | MR 73628 | Zbl 0065.27605

[11] Erdös (P.). - On the normal number of prime factors of p - 1 and some related problems concerning Euler Ø-function, Quaterly J. of Math., t. 6, 1935, p. 203-213. | JFM 61.0129.05 | Zbl 0012.14905

[12] Erdös (P.). - On the greatest prime factor of Πxk=1 f(k) , J. London math. Soc., t. 27, 1952, p. 379-384. | Zbl 0046.04102

[13] Erdös (P.). - Some problems in number theory, "Computers in number theory", Proceedings of a symposium held at Oxford, 1969, p. 405-414. - London, New York, Academic Press, 1971. | Zbl 0217.03101

[14] Erdös (P.) and Selfridge (J.L.). - Some problems on the prime factors of consecutive integers, II, "Proceedings Washington State University Conference of number theory, Pullman 1971" (à paraître). | MR 318076 | Zbl 0228.10028

[15] Erdös (P.) and Shorey (T.N.). - On the greastest prime factor of 2P - 1 for a prime p and other expressions, Acta Arithm., Warszawa (à paraître). | Zbl 0296.10021

[16] Fel'Dman (N.I.). - Improved estimate for a linear form of the logarithms of algebraic numbers, Math. of the USSR-Sbornik, t. 6, 1968, p. 393-406 ; [en russe] Mat. Sbornik, N. S., t. 77, 1968, p. 423-436. | Zbl 0235.10018

[17] Gel'Fond (A.O.). - Transcendental and algebraic numbers. - New York, Dover Publications, 1960. | MR 111736 | Zbl 0090.26103

[18] Halberstam (H.). - On the distribution of additive number theoretic function, II and III., J. London math. Soc., t. 31, 1956, p. 1-11, 14-31. | MR 73626 | Zbl 0071.04203

[19] Halberstam (H.). - Numbers with a large prime factors, Séminaire de Théorie des nombres de l'Université de Bordeaux, 1971/72, exp. 23. | Zbl 0274.10041

[20] Hall (Marshall Jr.). - The diophantine equation x3 - y2 = k , "Computers in number theory", Proceedings of a symposium held at Oxford, 1969, p. 173-198. - London, New York, Academic Press, 1971. | MR 323705 | Zbl 0225.10012

[21] Hanson (D.). - On the product of the primes, Canad. math. Bull., t. 15, 1972, p. 33-37. | MR 313179 | Zbl 0231.10008

[22] Hardy (G.H.) and Wright (E.M.). - An introduction to the theory of numbers, 4th edition. - Oxford, Clarendon Press, 1959. | MR 67125 | Zbl 0086.25803

[23] Huxley (M.N.). - On the difference between consecutive primes, Inventiones Math., Berlin, t. 15, 1972, p. 164-170. | MR 292774 | Zbl 0241.10026

[24] Jutila (M.). - On numbers with a large prime factor, Indian J. of Math. (à paraître). | Zbl 0293.10023

[25] Kotov (S.V.). - The greatest prime factor of a polynomial, Math. Notes, t. 13, 1973, p. 313-317 ; [en russe], Mat. Zametki, t. 13, 1973, p. 515-522. | MR 327670 | Zbl 0267.12002

[26] Landau (E.). - Primzahlen. - New York, Chelsea publishing Company, 1953. | MR 68565

[27] Langevin (M.). - Plus grand facteur premier d'entiers consécutifs, C. R. Acad. Sc. Paris, t. 280, 1975, Série A, p. 1567-1570. | MR 379403 | Zbl 0305.10041

[28] Langevin (M.). - Plus grand facteur premier d'entiers voisins, C. R. Acad. Sc. Paris (à paraître). | Zbl 0311.10044

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[31] Mahler (K.). - Über den grössten Primteiler der Polynome x2 ∓ 1 , Archiv for Math. og Naturvid, t. 41, 1935, n° 1, 8 p. | Zbl 0012.39405

[32] Mahler (K.). - Über den grössten Primteiler spezieller Polynome zweiten Grades, Arch. for Math. og Naturvid., t. 41, 1935, n° 6, 26 p. | Zbl 0013.38903

[33] Mahler (K.). - On the greatest prime factor of axm + byn , Nieuw Archief voor Wiskunde, 3e série, t. 1, 1953, p. 113-122. | MR 57899 | Zbl 0050.26804

[34] Mordell (L.J.). - Diophantine Equations. - London, New York, Academic Press, 1969 (Pure and applied Mathematics, Academic Press, 30). | MR 249355 | Zbl 0188.34503

[35] Nagell (T.). - Über den grössten Primteiler gewisser Polynome dritten Grades, Math. Annalen, t. 114, 1937, p. 284-292. | MR 1513139 | Zbl 0016.10104

[36] Perron (O.). - Die Lehre von den Kettenbruchen, 3te Auflage. Band 1. - Stuttgart, B. G. Teubner, 1954. | MR 64172 | Zbl 0056.05901

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[38] Prachar (K.). - Primzahlverteilung. - Berlin, Springer-Verlag, 1957 (Grundlehren der mathematischen Wissenschaften, 91). | MR 87685 | Zbl 0080.25901

[39] Ramachandra (K.). -Largest prime factor of the product of k-consecutive integers, "Proceedings of the international conference on number theory, Moscou, 1971" (à paraître). | MR 337831

[40] Ramachandra (K.). - A note on numbers with a large prime factor, III., Acta Arithm., Warszawa, t. 19, 1971, p. 49-62. | MR 299569 | Zbl 0218.10058

[41] Ramachandra (K.). - Application of Baker's theory to two problems considered by Erdös and Selfridge, J. Indian math. Soc., t. 37, 1973, p. 25-34. | MR 364121 | Zbl 0326.10038

[42] Ramachandra (K.). and Shorey (T.N.). - On gaps between numbers with a large prime factor, Acta Arithm., Warszawa, t. 24, 1973, p. 99-111. | MR 327684 | Zbl 0258.10022

[43] Rankin (R.A.). - The difference between consecutive prime numbers, J. London math. Soc., t. 13, 1938, p. 232-247 ; et Proc. Edinburgh math. Soc., t. 13, 1963, p. 331-332. | JFM 64.0982.01 | MR 160767 | Zbl 0019.39403

[44] Schinzel (A.). - On two theorems of Gel'fond and some of their applications, Acta Arithm., Warszawa, t. 13, 1967, p. 177-236. | MR 222034 | Zbl 0159.07101

[45] Schinzel (A.). - On primitive prime factors of an - bn , Proc. Cambridge phil. Soc., t. 58, 1962, p. 555-562. | MR 143728 | Zbl 0114.02605

[46] Schmidt (W.). - Approximation to algebraic numbers. - Genève, l'Enseignement mathématique, 1972 (Monographies de l'Enseignement mathématique, 19). | MR 344203

[47] Schönhage (A.). - Eine Bemerkung zur Konstruktion grosser Primzahllücken, Arch. der Math., t. 14, 1963, p. 29-30. | MR 146154 | Zbl 0108.04504

[48] Schur (J.). - Einige Sätze über Primzahlen mit Anwendung auf Irreduzibilitätsfragen, Sitz. der Preuss. Akad. Wiss., Phys. Math. Klasse, t. 23, 1929, p. 1-24. | JFM 55.0069.03

[49] Shorey (T.N.). - On gaps between numbers with a large prime factor, II., Acta Arithm., Warszawa, t. 25, 1974, p. 365-373. | MR 344201 | Zbl 0258.10023

[50] Shorey (T.N.). - On linear forms in the logarithms of algebraic numbers, Acta Arithm., Warszawa (à paraître). | Zbl 0289.10023

[51] Shorey (T.N.) and Tijdeman (R.). - On the greatest prime factor of polynomials at integer points, Acta Arithm., Warszawa (à paraître).

[52] Siegel (C.L.). - Approximation algebraischen Zahlen, Math. Z., t. 10, 1921, p. 173-213. | JFM 48.0163.07 | MR 1544471

[53] Siegel (C.L.). - The integer solutions of the equation y2=axn+bxn-1+...+k , (extrait d'une lettre à L. J. Mordell), J. London math. Soc., t. 1, 1926, p. 66-68.

[54] Sprindžuk (V.G.). - An improvement of the estimate of rational approximations to algebraic numbers, Dokl. Akad. Nauk Belorusskoj SSR, t. 15, 1971, p. 101-104. | MR 292763

[55] Sprindžuk (V.G.). - Diviseurs sans facteurs carrés des polynômes et nombre de classes des corps de nombres algébriques [en russe], Acta Arithm., Warszawa, t. 24, 1973, p. 143-149.

[56] Stark (H.M.). - Effective estimates of solutions of some diophantine equations, Acta Arithm., Warszawa, t. 24, 1973, p. 251-259. | MR 340175 | Zbl 0272.10010

[57] Stewart (C.L.). - The greatest prime factor of an - bn , Acta Arithm., Warszawa, (à paraître). | Zbl 0313.10007

[58] Størmer (C.). - Quelques théorèmes sur l'équation de Pell x2-Dy2=±1 et leurs applications, Christiana Videnskabsselskabs Skrifter, Mat. Naturv. Kl., 1897, n° 2, 48 p. | JFM 28.0192.02

[59] Sylvester (J.J.). - On arithmetical series, Messenger of Math., t. 21, 1892, p. 1-19, 87-120. | JFM 23.0181.02

[60] Tijdeman (R.). - Old and new in number theory, Nieuw Arch. voor Wiskunde, 3e série, t. 20, 1972, p. 20-30. | MR 300983 | Zbl 0227.10001

[61] Tijdeman (R.). - On integers with many small prime factors, Comp. Math., Groningen, t. 26, 1973, p. 319-330. | Numdam | MR 325549 | Zbl 0267.10056

[62] Tijdeman (R.). - On the maximal distance between integers composed of small primes, Comp. Math., Groningen, t. 28, 1974, p. 159-162. | Numdam | MR 345917 | Zbl 0283.10024

[63] Tijdeman (R.) and Meijer (H.G.). - On integers generated by a finite number of fixed primes, Comp. Math., Groningen, t. 29, 1974, p. 273-286. | Numdam | MR 364122 | Zbl 0297.10030

[64] Tijdeman (R.). - On the equation of Catalan, Acta Arithm., Warszawa (à paraître). | Zbl 0286.10013

[65] Tuckerman (B.). - The 24th Mersenne prime, Notices Amer. math. Soc., t. 18, 1971, p. 608. | MR 291072 | Zbl 0224.10006

[66] Poorten (A. Van Der). - A p-adic analogue of an inequality of Baker for linear forms in the logarithms of algebraic numbers, Austral. J. of Math (à paraître).

[67] Waldschmidt (M.). - Minorations effectives de formes linéaires de logarithmes, Séminaire Delange-Pisot-Poitou : Groupe d'étude de théorie des nombres, 15e année, 1973/74, n° G3, 8 p. | Numdam | Zbl 0324.10028

[68] Zsigmondy (K.). - Zur Theorie der Potenzreste, Monatsh. Math., t. 3, 1892, p. 265-284. | JFM 24.0176.02