Edit Profile (opens in new tab) Shorey, Tarlok Nath Co-Author Distance Author ID: shorey.tarlok-nath Published as: Shorey, T. N.; Shorey, Tarlok N.; Shorey, Tarlok Nath more...less Documents Indexed: 148 Publications since 1972, including 4 Books 1 Further Contribution Biographic References: 3 Publications Co-Authors: 40 Co-Authors with 107 Joint Publications 1,752 Co-Co-Authors all top 5 Co-Authors 40 single-authored 33 Tijdeman, Robert 23 Saradha, N. 19 Laishram, Shanta 9 Nair, Saranya G. 7 Balasubramanian, Ramachandran 5 Luca, Florian 3 Győry, Kálmán 3 Mignotte, Maurice 3 Mukhopadhyay, Anirban 3 Ramachandra, Kanakanahalli 3 Sinha, Sneh Bala 3 Stewart, Cameron L. 2 Bugeaud, Yann 2 Chim, Kwok Chi 2 Fuchs, Clemens 2 Hirata-Kohno, Noriko 2 Nesterenko, Yuriĭ Valentinovich 2 Waldschmidt, Michel 1 Adhikari, Sukumar Das 1 Beukers, Frits 1 Dujella, Andrej 1 Erdős, Pál 1 Evertse, Jan-Hendrik 1 Gurjar, Rajendra Vasant 1 Hanrot, Guillaume 1 Joshi, Kirti 1 Langevin, Michel 1 Mohan Kumar, Neithalath 1 Murty, Maruti Ram 1 Murty, Vijaya Kumar 1 Najman, Filip 1 Paranjape, Kapil Hari 1 Parnami, J. C. 1 Ramanathan, Annamalai 1 Schinzel, Andrzej 1 Schmidt, Wolfgang M. 1 Simha, R. R. 1 Srinivas, Vasudevan 1 Tengely, Szabolcs 1 Thangadurai, Ravindranathan 1 van der Poorten, Alfred J. all top 5 Serials 37 Acta Arithmetica 19 Indagationes Mathematicae. New Series 8 Journal of Number Theory 7 Compositio Mathematica 5 Publicationes Mathematicae Debrecen 4 Journal für die Reine und Angewandte Mathematik 4 Hardy-Ramanujan Journal 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Indagationes Mathematicae 3 Mathematica Scandinavica 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Combinatorics and Number Theory 2 Functiones et Approximatio. Commentarii Mathematici 2 The Journal of the Indian Mathematical Society. New Series 2 Monatshefte für Mathematik 2 International Journal of Number Theory 2 Cambridge Tracts in Mathematics 2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Indian Journal of Pure & Applied Mathematics 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Madras University. Section B: Mathematics, Physical and Biological Sciences 1 The Mathematics Student 1 Pacific Journal of Mathematics 1 Acta Mathematica Hungarica 1 Mathematica Pannonica 1 RIMS Kokyuroku 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Infosys Science Foundation Series Fields 144 Number theory (11-XX) 11 Special functions (33-XX) 6 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 1 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 754 times in 419 Documents Cited by ▼ Year ▼ Exponential Diophantine equations. Zbl 0606.10011Shorey, T. N.; Tijdeman, R. 133 1986 On the diophantine equation \(ax^{2n}+ bx^ ny+ cy^ 2= d\) and pure powers in recurrence sequences. Zbl 0491.10016Shorey, T. N.; Stewart, C. L. 37 1983 On the number of solutions of the generalized Ramanujan-Nagell equation. Zbl 0995.11027Bugeaud, Yann; Shorey, T. N. 32 2001 The distance between terms of an algebraic recurrence sequence. Zbl 0521.10011Mignotte, M.; Shorey, T. N.; Tijdeman, R. 23 1984 Almost squares and factorisations in consecutive integers. Zbl 1038.11020Saradha, N.; Shorey, T. N. 18 2003 Pure powers in recurrence sequences and some related diophantine equations. Zbl 0624.10009Shorey, T. N.; Stewart, C. L. 17 1987 Applications of the Gel’fond-Baker method to Diophantine equations. Zbl 0371.10015Shorey, T. N.; van der Poorten, A. J.; Tijdeman, R.; Schinzel, Andrzej 17 1977 Odd values of the Ramanjuan \(\tau\)-function. Zbl 0635.10020Murty, M. Ram; Murty, V. Kumar; Shorey, T. N. 15 1987 Lectures on irregularities of distribution. (Notes by T. N. Shorey). Zbl 0434.10031Schmidt, Wolfang M. 15 1977 Transcendental infinite sums. Zbl 0991.11043Adhikari, Sukumar Das; Saradha, N.; Shorey, T. N.; Tijdeman, R. 15 2001 Irreducibility of polynomials and arithmetic progressions with equal products of terms. Zbl 0933.11011Beukers, F.; Shorey, T. N.; Tijdeman, R. 14 1999 Perfect powers in products of terms in an arithmetical progression. Zbl 0708.11021Shorey, T. N.; Tijdeman, R. 14 1990 Generalizations of some irreducibility results by Schur. Zbl 1208.12003Shorey, T. N.; Tijdeman, R. 14 2010 Almost perfect powers in arithmetic progression. Zbl 1009.11025Saradha, N.; Shorey, T. N. 13 2001 The greatest prime divisor of a product of consecutive integers. Zbl 1165.11334Laishram, Shanta; Shorey, T. N. 12 2005 Number of prime divisors in a product of terms of an arithmetic progression. Zbl 1142.11356Laishram, Shanta; Shorey, T. N. 11 2004 Exponential diophantine equations involving products of consecutive integers and related equations. Zbl 0958.11026Shorey, T. N. 11 2000 Diophantine equations with products of consecutive terms in Lucas sequences. Zbl 1081.11023Luca, F.; Shorey, T. N. 11 2005 An extension of a theorem of Euler. Zbl 1137.11022Hirata-Kohno, Noriko; Laishram, Shanta; Shorey, T. N.; Tijdeman, R. 11 2007 On the Diophantine equation \(\frac{x^m-1}{x-1}=\frac{y^n-1}{y-1}\). Zbl 1047.11028Bugeaud, Yann; Shorey, T. N. 11 2002 Irreducibility of generalized Hermite-Laguerre polynomials. II. Zbl 1196.33009Laishram, Shanta; Shorey, T. N. 9 2009 Exponential Diophantine equations. Reprint of the 1986 hardback ed. Zbl 1156.11015Shorey, T. N.; Tijdeman, R. 9 2009 Almost squares in arithmetic progression. Zbl 1036.11007Saradha, N.; Shorey, T. N. 8 2003 Number of prime divisors in a product of consecutive integers. Zbl 1046.11004Laishram, Shanta; Shorey, T. N. 8 2004 On the greatest prime factor of an arithmetical progression. Zbl 0709.11004Shorey, T. N.; Tijdeman, R. 8 1990 Baker’s explicit \(abc\)-conjecture and applications. Zbl 1276.11048Laishram, Shanta; Shorey, T. N. 8 2012 Grimm’s conjecture on consecutive integers. Zbl 1116.11008Laishram, Shanta; Shorey, T. N. 8 2006 The greatest prime divisor of a product of terms in an arithmetic progression. Zbl 1165.11014Laishram, Shanta; Shorey, T. N. 7 2006 On the equation \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\). Zbl 0757.11011Saradha, N.; Shorey, T. N. 7 1992 Irreducibility of Laguerre polynomial \(L_n^{(-1-n-r)}(x)\). Zbl 1369.12004Nair, Saranya G.; Shorey, T. N. 6 2015 Perfect powers in values of certain polynomials at integer points. Zbl 0598.10029Shorey, T. N. 6 1986 New applications of Diophantine approximations to Diophantine equations. Zbl 0341.10017Shorey, T. N.; Tijdeman, R. 6 1976 Lower bounds for the greatest prime factor of product of consecutive positive integers. Zbl 1400.11016Nair, Saranya G.; Shorey, T. N. 6 2016 On the equation \(n(n+d) \cdots (n+(i_0-1)d)(n+(i_0+1)d) \cdots (n+(k-1)d)=y^l\) with \(0<i_0<k-1\). Zbl 1140.11021Saradha, N.; Shorey, T. N. 6 2007 The equation \(n(n+d) \cdots (n+(k-1)d)=by^2\) with \(\omega(d) \leq 6\) or \(d \leq 10^{10}\). Zbl 1140.11020Laishram, Shanta; Shorey, T. N. 6 2007 On gaps between numbers with a large prime factor. II. Zbl 0258.10023Shorey, T. N. 6 1974 Contributions towards a conjecture of Erdős on perfect powers in arithmetic progression. Zbl 1167.11305Saradha, N.; Shorey, T. N. 5 2005 On the equation \(ax^ m-by^ n=k\). Zbl 0603.10019Shorey, T. N. 5 1986 Some extensions and refinements of a theorem of Sylvester. Zbl 1004.11008Saradha, N.; Shorey, T. N.; Tijdeman, R. 5 2002 On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers. II. Zbl 0439.10004Shorey, T. N.; Stewart, C. L. 5 1981 Almost squares in arithmetic progression. II. Zbl 1030.11010Mukhopadhyay, Anirban; Shorey, T. N. 5 2003 Some exponential diophantine equations. II. Zbl 0748.11022Shorey, T. N. 5 1989 Powers in arithmetic progression. Zbl 1043.11034Shorey, T. N. 5 2002 On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049Balasubramanian, R.; Shorey, T. N.; Waldschmidt, M. 5 1989 Irreducibility of generalized Hermite-Laguerre polynomials. Zbl 1275.11055Laishram, Shanta; Shorey, Tarlok N. 5 2012 Squares and factorials in products of factorials. Zbl 1373.11029Luca, F.; Saradha, N.; Shorey, T. N. 4 2014 Squares in products in arithmetic progression with at most one term omitted and common difference a prime power. Zbl 1158.11018Laishram, Shanta; Shorey, T. N.; Tengely, Szabolcs 4 2008 On linear forms in the logarithms of algebraic numbers. Zbl 0289.10023Shorey, T. N. 4 1976 On the greatest prime factor of \(2^p-1\) for a prime \(p\) and other expressions. Zbl 0296.10021Erdős, Paul; Shorey, T. N. 4 1976 Linear forms in members of a binary recursive sequence. Zbl 0491.10011Shorey, T. N. 4 1984 Diophantine equations with products of consecutive terms in Lucas sequences. II. Zbl 1230.11041Luca, Florian; Shorey, T. N. 4 2008 Squares in products from a block of consecutive integers. Zbl 0802.11012Balasubramanian, R.; Shorey, T. N. 4 1993 Prime factors of arithmetic progressions and binomial coefficients. Zbl 1213.11175Shorey, Tarlok N.; Tijdeman, Robert 4 2007 Square free part of products of consecutive integers. Zbl 1049.11037Mukhopadhyay, A.; Shorey, T. N. 4 2004 On the ratio of two blocks of consecutive integers. Zbl 0716.11017Saradha, N.; Shorey, T. N. 4 1990 Some exponential diophantine equations. Zbl 0658.10024Shorey, T. N. 4 1988 Irreducibility of generalized Hermite-Laguerre polynomials. III. Zbl 1354.33007Laishram, Shanta; Shorey, T. N. 3 2016 Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials. Zbl 1390.11072Saradha, N.; Shorey, T. N. 3 2015 Almost perfect powers in consecutive integers. II. Zbl 1223.11039Saradha, N.; Shorey, T. N. 3 2008 Perfect powers in products of arithmetical progressions with fixed initial term. Zbl 0874.11034Shorey, T. N. 3 1996 On an equation of Goormaghtigh. Zbl 0896.11010Nesterenko, Yu. V.; Shorey, T. N. 3 1998 Almost perfect powers in consecutive integers. Zbl 0971.11017Hanrot, G.; Saradha, N.; Shorey, T. N. 3 2001 On the equation \(x(x+1)\dots(x+k-1)=y(y+d)\dots(y+(mk-1)d)\), \(m=1,2\). Zbl 0828.11016Saradha, N.; Shorey, T. N.; Tijdeman, R. 3 1995 Perfect powers in products of integers from a block of consecutive integers. II. Zbl 0859.11025Shorey, T. N.; Nesterenko, Yu. V. 3 1996 The equation \(\frac{x^n-1}{x-1}=y^q\) with \(x\) square. Zbl 0922.11026Saradha, N.; Shorey, T. N. 3 1999 On Grimm’s problem relating to factorisation of a block of consecutive integers. Zbl 0297.10031Ramachandra, K.; Shorey, T. N.; Tijdeman, R. 3 1975 On Grimm’s problem relating to factorisation of a block of consecutive integers. II. Zbl 0333.10028Ramachandra, K.; Shorey, T. N.; Tijdeman, R. 3 1976 On some arithmetical properties of weighted sums of S-units. Zbl 0738.11034Györy, K.; Mignotte, M.; Shorey, T. N. 3 1990 The equations \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\) with \(m=3,4\). Zbl 0757.11010Saradha, N.; Shorey, T. N. 3 1991 Extensions of Schur’s irreducibility results. Zbl 1232.33016Laishram, Shanta; Shorey, T. N. 3 2011 Subsequences of binary recursive sequences. Zbl 0482.10010Parnami, J. C.; Shorey, T. N. 3 1982 Diophantine approximations, Diophantine equations, transcendence and applications. Zbl 1207.11074Shorey, T. N. 3 2006 Almost squares in arithmetic progression. III. Zbl 1215.11032Mukhopadhyay, Anirban; Shorey, T. N. 2 2004 Products of three factorials. Zbl 1340.11040Dujella, Andrej; Najman, Filip; Saradha, N.; Shorey, Tarlok N. 2 2014 On the equation \(z^ q=(x^ n-1)/(x-1)\). Zbl 0603.10018Shorey, T. N. 2 1986 Perfect powers in products of terms in an arithmetical progression. IV. Zbl 0896.11011Balasubramanian, R.; Shorey, T. N. 2 1998 On arithmetic progression with equal products. Zbl 0812.11023Saradha, N.; Shorey, T. N.; Tijdeman, R. 2 1994 On the equation \(a(x^m-1)/(x-1)=b(y^n-1)/(y-1)\). Zbl 0425.10020Balasubramanian, R.; Shorey, T. N. 2 1980 On arithmetic progressions of equal lengths with equal products. Zbl 0833.11010Saradha, N.; Shorey, T. N.; Tijdeman, R. 2 1995 On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Zbl 0859.11012Balasubramanian, R.; Langevin, M.; Shorey, T. N.; Waldschmidt, M. 2 1996 An equation of Goormaghtigh and Diophantine approximations. Zbl 1088.11023Shorey, T. N. 2 2002 On the greatest prime factors of polynomials at integer points. Zbl 0338.10040Shorey, T. N.; Tijdeman, R. 2 1976 Linear forms in the logarithms of algebraic numbers with small coefficients. I, II. Zbl 0349.10028Shorey, T. N. 2 1975 Powers in arithmetic progressions. III. Zbl 1127.11027Shorey, T. N. 2 2006 Powers in arithmetic progressions. II. Zbl 1127.11337Shorey, T. N. 2 2002 Divisors of convergents of a continued fraction. Zbl 0513.10008Shorey, T. N. 2 1983 Perfect powers in products of terms in an arithmetical progression. II. Zbl 0763.11015Shorey, T. N.; Tijdeman, R. 2 1992 On the equation \(x(x +d) \cdots (x +(k - 1)d) = y(y + d) \cdots (y + (mk - 1)d)\). Zbl 0763.11013Saradha, N.; Shorey, T. N. 2 1992 On the equation \(f(x+1)\dots f(x+k)= f(y+1)\dots f(y+mk)\). Zbl 0795.11015Balasubramanian, R.; Shorey, T. N. 2 1993 On gaps between numbers with a large prime factor. Zbl 0258.10022Ramachandra, K.; Shorey, T. N. 2 1973 Products of members of Lucas sequences with indices in an interval being a power. Zbl 1228.11020Luca, Florian; Shorey, T. N. 2 2009 On the ratio of values of a polynomial. Zbl 0566.10011Shorey, T. N. 2 1984 Perfect powers in products of integers from a block of consecutive integers. Zbl 0582.10012Shorey, T. N. 2 1987 Integers with identical digits. Zbl 0693.10008Shorey, T. N. 2 1989 The number of prime divisors of a product of consecutive integers. Zbl 1256.11027Balasubramanian, R.; Laishram, Shanta; Shorey, T. N.; Thangadurai, R. 2 2009 Perfect powers in arithmetical progression. Zbl 1194.11046Shorey, T. N.; Tijdeman, R. 2 1988 On the greatest prime factor of an arithmetical progression. II. Zbl 0657.10044Shorey, T. N.; Tijdeman, R. 1 1990 Equal values of binary forms at integral points. Zbl 0636.10014Evertse, J.-H.; Györy, K.; Shorey, T. N.; Tijdeman, R. 1 1987 Divisibility properties of generalized Laguerre polynomials. Zbl 1208.11036Fuchs, Clemens; Shorey, T. N. 1 2009 Some methods of Erdös applied to finite arithmetic progressions. Zbl 0874.11035Shorey, T. N.; Tijdeman, R. 1 1997 On Baker’s explicit \(abc\)-conjecture. Zbl 1438.11091Chim, Kwok Chi; Shorey, Tarlok Nath; Sinha, Sneh Bala 1 2019 Explicit \(abc\)-conjecture and its applications. Zbl 1440.11123Chim, Kwok Chi; Nair, Saranya G.; Shorey, T. N. 1 2018 Lower bounds for the greatest prime factor of product of consecutive positive integers. Zbl 1400.11016Nair, Saranya G.; Shorey, T. N. 6 2016 Irreducibility of generalized Hermite-Laguerre polynomials. III. Zbl 1354.33007Laishram, Shanta; Shorey, T. N. 3 2016 Irreducibility of generalized Laguerre polynomials \(L_n^{(\frac{1}{2} + u)}(x)\) with integer \(u\). Zbl 1396.11053Laishram, Shanta; Nair, Saranya G.; Shorey, T. N. 1 2016 Arithmetic properties of blocks of consecutive integers. Zbl 1398.11023Shorey, Tarlok N.; Tijdeman, Rob 1 2016 Irreducibility of Laguerre polynomial \(L_n^{(-1-n-r)}(x)\). Zbl 1369.12004Nair, Saranya G.; Shorey, T. N. 6 2015 Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials. Zbl 1390.11072Saradha, N.; Shorey, T. N. 3 2015 Squares and factorials in products of factorials. Zbl 1373.11029Luca, F.; Saradha, N.; Shorey, T. N. 4 2014 Products of three factorials. Zbl 1340.11040Dujella, Andrej; Najman, Filip; Saradha, N.; Shorey, Tarlok N. 2 2014 Baker’s explicit \(abc\)-conjecture and applications. Zbl 1276.11048Laishram, Shanta; Shorey, T. N. 8 2012 Irreducibility of generalized Hermite-Laguerre polynomials. Zbl 1275.11055Laishram, Shanta; Shorey, Tarlok N. 5 2012 Extensions of Schur’s irreducibility results. Zbl 1232.33016Laishram, Shanta; Shorey, T. N. 3 2011 Generalizations of some irreducibility results by Schur. Zbl 1208.12003Shorey, T. N.; Tijdeman, R. 14 2010 Irreducibility of generalized Hermite-Laguerre polynomials. II. Zbl 1196.33009Laishram, Shanta; Shorey, T. N. 9 2009 Exponential Diophantine equations. Reprint of the 1986 hardback ed. Zbl 1156.11015Shorey, T. N.; Tijdeman, R. 9 2009 Products of members of Lucas sequences with indices in an interval being a power. Zbl 1228.11020Luca, Florian; Shorey, T. N. 2 2009 The number of prime divisors of a product of consecutive integers. Zbl 1256.11027Balasubramanian, R.; Laishram, Shanta; Shorey, T. N.; Thangadurai, R. 2 2009 Divisibility properties of generalized Laguerre polynomials. Zbl 1208.11036Fuchs, Clemens; Shorey, T. N. 1 2009 Squares in products in arithmetic progression with at most one term omitted and common difference a prime power. Zbl 1158.11018Laishram, Shanta; Shorey, T. N.; Tengely, Szabolcs 4 2008 Diophantine equations with products of consecutive terms in Lucas sequences. II. Zbl 1230.11041Luca, Florian; Shorey, T. N. 4 2008 Almost perfect powers in consecutive integers. II. Zbl 1223.11039Saradha, N.; Shorey, T. N. 3 2008 Squares in arithmetic progression with at most two terms omitted. Zbl 1177.11031Laishram, Shanta; Shorey, T. N. 1 2008 An extension of a theorem of Euler. Zbl 1137.11022Hirata-Kohno, Noriko; Laishram, Shanta; Shorey, T. N.; Tijdeman, R. 11 2007 On the equation \(n(n+d) \cdots (n+(i_0-1)d)(n+(i_0+1)d) \cdots (n+(k-1)d)=y^l\) with \(0<i_0<k-1\). Zbl 1140.11021Saradha, N.; Shorey, T. N. 6 2007 The equation \(n(n+d) \cdots (n+(k-1)d)=by^2\) with \(\omega(d) \leq 6\) or \(d \leq 10^{10}\). Zbl 1140.11020Laishram, Shanta; Shorey, T. N. 6 2007 Prime factors of arithmetic progressions and binomial coefficients. Zbl 1213.11175Shorey, Tarlok N.; Tijdeman, Robert 4 2007 Grimm’s conjecture on consecutive integers. Zbl 1116.11008Laishram, Shanta; Shorey, T. N. 8 2006 The greatest prime divisor of a product of terms in an arithmetic progression. Zbl 1165.11014Laishram, Shanta; Shorey, T. N. 7 2006 Diophantine approximations, Diophantine equations, transcendence and applications. Zbl 1207.11074Shorey, T. N. 3 2006 Powers in arithmetic progressions. III. Zbl 1127.11027Shorey, T. N. 2 2006 The greatest prime divisor of a product of consecutive integers. Zbl 1165.11334Laishram, Shanta; Shorey, T. N. 12 2005 Diophantine equations with products of consecutive terms in Lucas sequences. Zbl 1081.11023Luca, F.; Shorey, T. N. 11 2005 Contributions towards a conjecture of Erdős on perfect powers in arithmetic progression. Zbl 1167.11305Saradha, N.; Shorey, T. N. 5 2005 Number of prime divisors in a product of terms of an arithmetic progression. Zbl 1142.11356Laishram, Shanta; Shorey, T. N. 11 2004 Number of prime divisors in a product of consecutive integers. Zbl 1046.11004Laishram, Shanta; Shorey, T. N. 8 2004 Square free part of products of consecutive integers. Zbl 1049.11037Mukhopadhyay, A.; Shorey, T. N. 4 2004 Almost squares in arithmetic progression. III. Zbl 1215.11032Mukhopadhyay, Anirban; Shorey, T. N. 2 2004 Almost squares and factorisations in consecutive integers. Zbl 1038.11020Saradha, N.; Shorey, T. N. 18 2003 Almost squares in arithmetic progression. Zbl 1036.11007Saradha, N.; Shorey, T. N. 8 2003 Almost squares in arithmetic progression. II. Zbl 1030.11010Mukhopadhyay, Anirban; Shorey, T. N. 5 2003 On the Diophantine equation \(\frac{x^m-1}{x-1}=\frac{y^n-1}{y-1}\). Zbl 1047.11028Bugeaud, Yann; Shorey, T. N. 11 2002 Some extensions and refinements of a theorem of Sylvester. Zbl 1004.11008Saradha, N.; Shorey, T. N.; Tijdeman, R. 5 2002 Powers in arithmetic progression. Zbl 1043.11034Shorey, T. N. 5 2002 An equation of Goormaghtigh and Diophantine approximations. Zbl 1088.11023Shorey, T. N. 2 2002 Powers in arithmetic progressions. II. Zbl 1127.11337Shorey, T. N. 2 2002 On the number of solutions of the generalized Ramanujan-Nagell equation. Zbl 0995.11027Bugeaud, Yann; Shorey, T. N. 32 2001 Transcendental infinite sums. Zbl 0991.11043Adhikari, Sukumar Das; Saradha, N.; Shorey, T. N.; Tijdeman, R. 15 2001 Almost perfect powers in arithmetic progression. Zbl 1009.11025Saradha, N.; Shorey, T. N. 13 2001 Almost perfect powers in consecutive integers. Zbl 0971.11017Hanrot, G.; Saradha, N.; Shorey, T. N. 3 2001 Exponential diophantine equations involving products of consecutive integers and related equations. Zbl 0958.11026Shorey, T. N. 11 2000 Some conjectures in the theory of exponential diophantine equations. Zbl 0961.11012Shorey, T. N. 1 2000 Irreducibility of polynomials and arithmetic progressions with equal products of terms. Zbl 0933.11011Beukers, F.; Shorey, T. N.; Tijdeman, R. 14 1999 The equation \(\frac{x^n-1}{x-1}=y^q\) with \(x\) square. Zbl 0922.11026Saradha, N.; Shorey, T. N. 3 1999 On an equation of Goormaghtigh. Zbl 0896.11010Nesterenko, Yu. V.; Shorey, T. N. 3 1998 Perfect powers in products of terms in an arithmetical progression. IV. Zbl 0896.11011Balasubramanian, R.; Shorey, T. N. 2 1998 Some methods of Erdös applied to finite arithmetic progressions. Zbl 0874.11035Shorey, T. N.; Tijdeman, R. 1 1997 On the equation \((x^m-1)/(x-1)=y^q\) with \(x\) power. Zbl 0904.11009Hirata-Kohno, Noriko; Shorey, Tarlok N. 1 1997 Perfect powers in products of arithmetical progressions with fixed initial term. Zbl 0874.11034Shorey, T. N. 3 1996 Perfect powers in products of integers from a block of consecutive integers. II. Zbl 0859.11025Shorey, T. N.; Nesterenko, Yu. V. 3 1996 On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Zbl 0859.11012Balasubramanian, R.; Langevin, M.; Shorey, T. N.; Waldschmidt, M. 2 1996 The equations \((x+1) \cdots (x+k) = (y+1) \cdots (y+m),\quad m=5,6\). Zbl 0867.11019Mignotte, M.; Shorey, T. N. 1 1996 On the equation \(x(x+1)\dots(x+k-1)=y(y+d)\dots(y+(mk-1)d)\), \(m=1,2\). Zbl 0828.11016Saradha, N.; Shorey, T. N.; Tijdeman, R. 3 1995 On arithmetic progressions of equal lengths with equal products. Zbl 0833.11010Saradha, N.; Shorey, T. N.; Tijdeman, R. 2 1995 On a conjecture that a product of \(k\) consecutive positive integers is never equal to a product of \(mk\) consecutive positive integers except for \(8.9.10=6!\) and related questions. Zbl 0829.11015Shorey, T. N. 1 1995 On values of a polynomial at arithmetic progressions with equal products. Zbl 0837.11015Saradha, N.; Shorey, T. N.; Tijdeman, R. 1 1995 On arithmetic progression with equal products. Zbl 0812.11023Saradha, N.; Shorey, T. N.; Tijdeman, R. 2 1994 On the equation \(x(x+d_ 1)\dots (x+(k-1)d_ 1)= y(y+d_ 2)\dots (y+(mk-1)d_ 2)\). Zbl 0798.11008Saradha, N.; Shorey, T. N. 1 1994 Squares in products from a block of consecutive integers. Zbl 0802.11012Balasubramanian, R.; Shorey, T. N. 4 1993 On the equation \(f(x+1)\dots f(x+k)= f(y+1)\dots f(y+mk)\). Zbl 0795.11015Balasubramanian, R.; Shorey, T. N. 2 1993 On the equation \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\). Zbl 0757.11011Saradha, N.; Shorey, T. N. 7 1992 Perfect powers in products of terms in an arithmetical progression. II. Zbl 0763.11015Shorey, T. N.; Tijdeman, R. 2 1992 On the equation \(x(x +d) \cdots (x +(k - 1)d) = y(y + d) \cdots (y + (mk - 1)d)\). Zbl 0763.11013Saradha, N.; Shorey, T. N. 2 1992 Perfect powers in arithmetical progression. II. Zbl 0763.11014Shorey, T. N.; Tijdeman, R. 1 1992 On the number of prime factors of a finite arithmetical progression. Zbl 0773.11011Shorey, T. N.; Tijdeman, R. 1 1992 Perfect powers in products of terms in an arithmetical progression. III. Zbl 0777.11007Shorey, T. N.; Tijdeman, R. 1 1992 The equations \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\) with \(m=3,4\). Zbl 0757.11010Saradha, N.; Shorey, T. N. 3 1991 Perfect powers in products of terms in an arithmetical progression. Zbl 0708.11021Shorey, T. N.; Tijdeman, R. 14 1990 On the greatest prime factor of an arithmetical progression. Zbl 0709.11004Shorey, T. N.; Tijdeman, R. 8 1990 On the ratio of two blocks of consecutive integers. Zbl 0716.11017Saradha, N.; Shorey, T. N. 4 1990 On some arithmetical properties of weighted sums of S-units. Zbl 0738.11034Györy, K.; Mignotte, M.; Shorey, T. N. 3 1990 On the greatest prime factor of an arithmetical progression. II. Zbl 0657.10044Shorey, T. N.; Tijdeman, R. 1 1990 Some exponential diophantine equations. II. Zbl 0748.11022Shorey, T. N. 5 1989 On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049Balasubramanian, R.; Shorey, T. N.; Waldschmidt, M. 5 1989 Integers with identical digits. Zbl 0693.10008Shorey, T. N. 2 1989 On the number of prime factors of an arithmetical progression. Zbl 0705.11052Shorey, T. N.; Tijdeman, R. 1 1989 Some exponential diophantine equations. Zbl 0658.10024Shorey, T. N. 4 1988 Perfect powers in arithmetical progression. Zbl 1194.11046Shorey, T. N.; Tijdeman, R. 2 1988 Pure powers in recurrence sequences and some related diophantine equations. Zbl 0624.10009Shorey, T. N.; Stewart, C. L. 17 1987 Odd values of the Ramanjuan \(\tau\)-function. Zbl 0635.10020Murty, M. Ram; Murty, V. Kumar; Shorey, T. N. 15 1987 Perfect powers in products of integers from a block of consecutive integers. Zbl 0582.10012Shorey, T. N. 2 1987 Equal values of binary forms at integral points. Zbl 0636.10014Evertse, J.-H.; Györy, K.; Shorey, T. N.; Tijdeman, R. 1 1987 Ramanujan and binary recursive sequences. Zbl 0669.10020Shorey, T. N. 1 1987 Exponential Diophantine equations. Zbl 0606.10011Shorey, T. N.; Tijdeman, R. 133 1986 Perfect powers in values of certain polynomials at integer points. Zbl 0598.10029Shorey, T. N. 6 1986 On the equation \(ax^ m-by^ n=k\). Zbl 0603.10019Shorey, T. N. 5 1986 On the equation \(z^ q=(x^ n-1)/(x-1)\). Zbl 0603.10018Shorey, T. N. 2 1986 The distance between terms of an algebraic recurrence sequence. Zbl 0521.10011Mignotte, M.; Shorey, T. N.; Tijdeman, R. 23 1984 Linear forms in members of a binary recursive sequence. Zbl 0491.10011Shorey, T. N. 4 1984 On the ratio of values of a polynomial. Zbl 0566.10011Shorey, T. N. 2 1984 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 388 Authors 43 Shorey, Tarlok Nath 39 Luca, Florian 33 Hajdu, Lajos 21 Saradha, N. 19 Laishram, Shanta 15 Bennett, Michael A. 13 Tijdeman, Robert 13 Togbé, Alain 12 Pethő, Attila 11 Bugeaud, Yann 11 Marques, Diego 10 Mignotte, Maurice 9 Győry, Kálmán 9 Waldschmidt, Michel 8 Bérczes, Attila 8 Yuan, Pingzhi 7 Le, Maohua 7 Ouaknine, Joel O. 7 Rout, Sudhansu Sekhar 7 Siksek, Samir 7 Trojovský, Pavel 7 Worrell, James B. 6 Murty, Maruti Ram 6 Nair, Saranya G. 6 Pintér, Ákos 6 Stewart, Cameron L. 6 Tengely, Szabolcs 5 Fuchs, Clemens 5 Pink, István 5 Shparlinski, Igor E. 5 Tichy, Robert Franz 5 Tzanakis, Nikos 4 Almagor, Shaull 4 Das, Pranabesh 4 Evertse, Jan-Hendrik 4 Filaseta, Michael A. 4 Fu, Ruiqin 4 Gómez, Carlos Alexis 4 Kovács, Tünde 4 Subburam, Sivanarayanapandian 4 Varga, Nóra 4 Yang, Hai 3 Balakrishnan, Jennifer S. 3 Balasubramanian, Ramachandran 3 Banerjee, Pradipto 3 Bundschuh, Peter 3 de Weger, Benjamin M. M. 3 Gaál, István 3 Gun, Sanoli 3 He, Bo 3 Hong, Shaofang 3 Ito, Akiko 3 Kreso, Dijana 3 Levesque, Claude 3 Meher, Nabin Kumar 3 Németh, László 3 Ono, Ken 3 Papp, Ágoston 3 Rihane, Salah Eddine 3 Scott, Reese 3 Shallit, Jeffrey Outlaw 3 Soydan, Gokhan 3 Styer, Robert Alan 3 Szalay, László 3 Töpfer, Thomas 3 Walsh, Peter Gareth 3 Zannier, Umberto M. 3 Ziegler, Volker 2 Bauer, Mark L. 2 Bazsó, András 2 Becker, Paul-Georg 2 Bell, Paul C. 2 Bertók, Csanád 2 Bilu, Yuri F. 2 Bravo, Jhon Jairo 2 Brindza, Béla 2 Bubboloni, Daniela 2 Chakraborty, Kalyan 2 Cohn, John H. E. 2 Corvaja, Pietro 2 Craig, William 2 Deng, Naijuan 2 Di Fiore, Carmine 2 Dujella, Andrej 2 Faye, Bernadette 2 Fujita, Yasutsugu 2 García Lomelí, Ana Cecilia 2 García, Jonathan 2 Gherga, Adela 2 Godinho, Hemar 2 Herendi, O. 2 Hernández Hernández, Santos 2 Hoque, Azizul 2 Jindal, Ankita 2 Langevin, Michel 2 Laurent, Michel 2 Levin, Aaron 2 Mabaso, Sibusiso 2 Matschke, Benjamin 2 Nuspl, Philipp ...and 288 more Authors all top 5 Cited in 103 Serials 64 Journal of Number Theory 40 Indagationes Mathematicae. New Series 15 Acta Arithmetica 15 International Journal of Number Theory 14 Journal de Théorie des Nombres de Bordeaux 13 Periodica Mathematica Hungarica 10 Compositio Mathematica 10 Monatshefte für Mathematik 9 Bulletin of the Australian Mathematical Society 8 Rocky Mountain Journal of Mathematics 8 Mathematics of Computation 8 Archiv der Mathematik 8 The Ramanujan Journal 7 Functiones et Approximatio. 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Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Archivum Mathematicum 1 Automatica 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Ergodic Theory and Dynamical Systems 1 Annals of Pure and Applied Logic 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Information and Computation 1 Sugaku Expositions 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 International Journal of Foundations of Computer Science 1 Elemente der Mathematik 1 Glasnik Matematički. Serija III 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Finite Fields and their Applications 1 The New York Journal of Mathematics 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Journal of Probability 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Acta Mathematica Sinica. English Series 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 Logical Methods in Computer Science 1 Confluentes Mathematici 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Iranian Journal of Mathematical Sciences and Informatics 1 Annales Mathématiques du Québec ...and 3 more Serials all top 5 Cited in 29 Fields 389 Number theory (11-XX) 21 Special functions (33-XX) 17 Field theory and polynomials (12-XX) 17 Algebraic geometry (14-XX) 11 Computer science (68-XX) 10 Mathematical logic and foundations (03-XX) 9 Group theory and generalizations (20-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Combinatorics (05-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Abstract harmonic analysis (43-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Citations by Year