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 Homepage: https://rnd.iitb.ac.in/faculty/prof-tarlok-nath-shorey External Links: MGP · Wikidata · IdRef Documents Indexed: 151 Publications since 1972, including 4 Books and 1 Additional arXiv Preprint 1 Further Contribution Biographic References: 3 Publications Co-Authors: 41 Co-Authors with 111 Joint Publications 1,883 Co-Co-Authors all top 5 Co-Authors 40 single-authored 33 Tijdeman, Robert 23 Saradha, N. 19 Laishram, Shanta 12 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, Roddam Raya 1 Srinivas, Vasudevan 1 Srinivasan, Sheshadri 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 The Mathematics Student 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 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 146 Number theory (11-XX) 12 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 124 Publications have been cited 874 times in 501 Documents Cited by ▼ Year ▼ Exponential Diophantine equations. Zbl 0606.10011 Shorey, T. N.; Tijdeman, R. 176 1986 On the diophantine equation \(ax^{2n}+ bx^ ny+ cy^ 2= d\) and pure powers in recurrence sequences. Zbl 0491.10016 Shorey, T. N.; Stewart, C. L. 48 1983 On the number of solutions of the generalized Ramanujan-Nagell equation. Zbl 0995.11027 Bugeaud, Yann; Shorey, T. N. 40 2001 The distance between terms of an algebraic recurrence sequence. Zbl 0521.10011 Mignotte, M.; Shorey, T. N.; Tijdeman, R. 36 1984 Almost squares and factorisations in consecutive integers. Zbl 1038.11020 Saradha, N.; Shorey, T. N. 19 2003 Applications of the Gel’fond-Baker method to Diophantine equations. Zbl 0371.10015 Shorey, T. N.; van der Poorten, A. J.; Tijdeman, R.; Schinzel, Andrzej 19 1977 Odd values of the Ramanjuan \(\tau\)-function. Zbl 0635.10020 Murty, M. Ram; Murty, V. Kumar; Shorey, T. N. 19 1987 Pure powers in recurrence sequences and some related diophantine equations. Zbl 0624.10009 Shorey, T. N.; Stewart, C. L. 18 1987 Lectures on irregularities of distribution. (Notes by T. N. Shorey). Zbl 0434.10031 Schmidt, Wolfang M. 17 1977 Irreducibility of polynomials and arithmetic progressions with equal products of terms. Zbl 0933.11011 Beukers, F.; Shorey, T. N.; Tijdeman, R. 16 1999 Perfect powers in products of terms in an arithmetical progression. Zbl 0708.11021 Shorey, T. N.; Tijdeman, R. 15 1990 Transcendental infinite sums. Zbl 0991.11043 Adhikari, Sukumar Das; Saradha, N.; Shorey, T. N.; Tijdeman, R. 15 2001 Generalizations of some irreducibility results by Schur. Zbl 1208.12003 Shorey, T. N.; Tijdeman, R. 14 2010 Almost perfect powers in arithmetic progression. Zbl 1009.11025 Saradha, N.; Shorey, T. N. 13 2001 Exponential diophantine equations involving products of consecutive integers and related equations. Zbl 0958.11026 Shorey, T. N. 13 2000 Baker’s explicit \(abc\)-conjecture and applications. Zbl 1276.11048 Laishram, Shanta; Shorey, T. N. 12 2012 An extension of a theorem of Euler. Zbl 1137.11022 Hirata-Kohno, Noriko; Laishram, Shanta; Shorey, T. N.; Tijdeman, R. 12 2007 The greatest prime divisor of a product of consecutive integers. Zbl 1165.11334 Laishram, Shanta; Shorey, T. N. 12 2005 On the Diophantine equation \(\frac{x^m-1}{x-1}=\frac{y^n-1}{y-1}\). Zbl 1047.11028 Bugeaud, Yann; Shorey, T. N. 12 2002 Diophantine equations with products of consecutive terms in Lucas sequences. Zbl 1081.11023 Luca, F.; Shorey, T. N. 11 2005 Number of prime divisors in a product of terms of an arithmetic progression. Zbl 1142.11356 Laishram, Shanta; Shorey, T. N. 11 2004 Irreducibility of generalized Hermite-Laguerre polynomials. II. Zbl 1196.33009 Laishram, Shanta; Shorey, T. N. 9 2009 Exponential Diophantine equations. Reprint of the 1986 hardback ed. Zbl 1156.11015 Shorey, T. N.; Tijdeman, R. 9 2009 On the greatest prime factor of an arithmetical progression. Zbl 0709.11004 Shorey, T. N.; Tijdeman, R. 9 1990 Almost squares in arithmetic progression. Zbl 1036.11007 Saradha, N.; Shorey, T. N. 8 2003 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 1140.11021 Saradha, N.; Shorey, T. N. 8 2007 The greatest prime divisor of a product of terms in an arithmetic progression. Zbl 1165.11014 Laishram, Shanta; Shorey, T. N. 8 2006 Grimm’s conjecture on consecutive integers. Zbl 1116.11008 Laishram, Shanta; Shorey, T. N. 8 2006 Number of prime divisors in a product of consecutive integers. Zbl 1046.11004 Laishram, Shanta; Shorey, T. N. 8 2004 The equation \(n(n+d) \cdots (n+(k-1)d)=by^2\) with \(\omega(d) \leq 6\) or \(d \leq 10^{10}\). Zbl 1140.11020 Laishram, Shanta; Shorey, T. N. 7 2007 On the equation \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\). Zbl 0757.11011 Saradha, N.; Shorey, T. N. 7 1992 New applications of Diophantine approximations to Diophantine equations. Zbl 0341.10017 Shorey, T. N.; Tijdeman, R. 7 1976 Perfect powers in values of certain polynomials at integer points. Zbl 0598.10029 Shorey, T. N. 7 1986 Powers in arithmetic progression. Zbl 1043.11034 Shorey, T. N. 6 2002 On gaps between numbers with a large prime factor. II. Zbl 0258.10023 Shorey, T. N. 6 1974 Irreducibility of Laguerre polynomial \(L_n^{(-1-n-r)}(x)\). Zbl 1369.12004 Nair, Saranya G.; Shorey, T. N. 6 2015 Lower bounds for the greatest prime factor of product of consecutive positive integers. Zbl 1400.11016 Nair, Saranya G.; Shorey, T. N. 6 2016 Some exponential diophantine equations. II. Zbl 0748.11022 Shorey, T. N. 5 1989 Almost squares in arithmetic progression. II. Zbl 1030.11010 Mukhopadhyay, Anirban; Shorey, T. N. 5 2003 Irreducibility of generalized Hermite-Laguerre polynomials. Zbl 1275.11055 Laishram, Shanta; Shorey, Tarlok N. 5 2012 Some extensions and refinements of a theorem of Sylvester. Zbl 1004.11008 Saradha, N.; Shorey, T. N.; Tijdeman, R. 5 2002 Contributions towards a conjecture of Erdős on perfect powers in arithmetic progression. Zbl 1167.11305 Saradha, N.; Shorey, T. N. 5 2005 On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers. II. Zbl 0439.10004 Shorey, T. N.; Stewart, C. L. 5 1981 On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049 Balasubramanian, R.; Shorey, T. N.; Waldschmidt, M. 5 1989 On the equation \(ax^ m-by^ n=k\). Zbl 0603.10019 Shorey, T. N. 5 1986 Square free part of products of consecutive integers. Zbl 1049.11037 Mukhopadhyay, A.; Shorey, T. N. 5 2004 On an equation of Goormaghtigh. Zbl 0896.11010 Nesterenko, Yu. V.; Shorey, T. N. 4 1998 Squares in products in arithmetic progression with at most one term omitted and common difference a prime power. Zbl 1158.11018 Laishram, Shanta; Shorey, T. N.; Tengely, Szabolcs 4 2008 Squares in products from a block of consecutive integers. Zbl 0802.11012 Balasubramanian, R.; Shorey, T. N. 4 1993 Perfect powers in products of integers from a block of consecutive integers. II. Zbl 0859.11025 Shorey, T. N.; Nesterenko, Yu. V. 4 1996 Squares and factorials in products of factorials. Zbl 1373.11029 Luca, F.; Saradha, N.; Shorey, T. N. 4 2014 On the ratio of two blocks of consecutive integers. Zbl 0716.11017 Saradha, N.; Shorey, T. N. 4 1990 On the greatest prime factor of \(2^p-1\) for a prime \(p\) and other expressions. Zbl 0296.10021 Erdős, Paul; Shorey, T. N. 4 1976 Diophantine approximations, Diophantine equations, transcendence and applications. Zbl 1207.11074 Shorey, T. N. 4 2006 Linear forms in members of a binary recursive sequence. Zbl 0491.10011 Shorey, T. N. 4 1984 Prime factors of arithmetic progressions and binomial coefficients. Zbl 1213.11175 Shorey, Tarlok N.; Tijdeman, Robert 4 2007 Diophantine equations with products of consecutive terms in Lucas sequences. II. Zbl 1230.11041 Luca, Florian; Shorey, T. N. 4 2008 On linear forms in the logarithms of algebraic numbers. Zbl 0289.10023 Shorey, T. N. 4 1976 Some exponential diophantine equations. Zbl 0658.10024 Shorey, T. N. 4 1988 Powers in arithmetic progressions. III. Zbl 1127.11027 Shorey, T. N. 3 2006 On some arithmetical properties of weighted sums of S-units. Zbl 0738.11034 Györy, 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 0757.11010 Saradha, N.; Shorey, T. N. 3 1991 Almost perfect powers in consecutive integers. Zbl 0971.11017 Hanrot, G.; Saradha, N.; Shorey, T. N. 3 2001 An equation of Goormaghtigh and Diophantine approximations. Zbl 1088.11023 Shorey, T. N. 3 2002 On the equation \(a(x^m-1)/(x-1)=b(y^n-1)/(y-1)\). Zbl 0425.10020 Balasubramanian, R.; Shorey, T. N. 3 1980 Perfect powers in products of arithmetical progressions with fixed initial term. Zbl 0874.11034 Shorey, T. N. 3 1996 Almost perfect powers in consecutive integers. II. Zbl 1223.11039 Saradha, N.; Shorey, T. N. 3 2008 Products of members of Lucas sequences with indices in an interval being a power. Zbl 1228.11020 Luca, Florian; Shorey, T. N. 3 2009 On Grimm’s problem relating to factorisation of a block of consecutive integers. II. Zbl 0333.10028 Ramachandra, K.; Shorey, T. N.; Tijdeman, R. 3 1976 On the equation \(x(x+1)\dots(x+k-1)=y(y+d)\dots(y+(mk-1)d)\), \(m=1,2\). Zbl 0828.11016 Saradha, N.; Shorey, T. N.; Tijdeman, R. 3 1995 On the greatest prime factors of polynomials at integer points. Zbl 0338.10040 Shorey, T. N.; Tijdeman, R. 3 1976 Powers in arithmetic progressions. II. Zbl 1127.11337 Shorey, T. N. 3 2002 Extensions of Schur’s irreducibility results. Zbl 1232.33016 Laishram, Shanta; Shorey, T. N. 3 2011 Irreducibility of generalized Hermite-Laguerre polynomials. III. Zbl 1354.33007 Laishram, Shanta; Shorey, T. N. 3 2016 Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials. Zbl 1390.11072 Saradha, N.; Shorey, T. N. 3 2015 On Grimm’s problem relating to factorisation of a block of consecutive integers. Zbl 0297.10031 Ramachandra, K.; Shorey, T. N.; Tijdeman, R. 3 1975 Subsequences of binary recursive sequences. Zbl 0482.10010 Parnami, J. C.; Shorey, T. N. 3 1982 The equation \(\frac{x^n-1}{x-1}=y^q\) with \(x\) square. Zbl 0922.11026 Saradha, N.; Shorey, T. N. 3 1999 On the equation \(z^ q=(x^ n-1)/(x-1)\). Zbl 0603.10018 Shorey, T. N. 3 1986 Perfect powers in products of integers from a block of consecutive integers. Zbl 0582.10012 Shorey, T. N. 3 1987 Integers with identical digits. Zbl 0693.10008 Shorey, T. N. 3 1989 Perfect powers in products of terms in an arithmetical progression. IV. Zbl 0896.11011 Balasubramanian, R.; Shorey, T. N. 2 1998 On gaps between numbers with a large prime factor. Zbl 0258.10022 Ramachandra, K.; Shorey, T. N. 2 1973 Perfect powers in products of terms in an arithmetical progression. II. Zbl 0763.11015 Shorey, 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 0763.11013 Saradha, N.; Shorey, T. N. 2 1992 On arithmetic progression with equal products. Zbl 0812.11023 Saradha, N.; Shorey, T. N.; Tijdeman, R. 2 1994 On arithmetic progressions of equal lengths with equal products. Zbl 0833.11010 Saradha, 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 0859.11012 Balasubramanian, R.; Langevin, M.; Shorey, T. N.; Waldschmidt, M. 2 1996 Linear forms in the logarithms of algebraic numbers with small coefficients. I, II. Zbl 0349.10028 Shorey, T. N. 2 1975 On the equation \(f(x+1)\dots f(x+k)= f(y+1)\dots f(y+mk)\). Zbl 0795.11015 Balasubramanian, R.; Shorey, T. N. 2 1993 Generalized Laguerre polynomials with applications. Zbl 1535.11037 Nair, Saranya G.; Shorey, T. N. 2 2017 Perfect powers in arithmetical progression. Zbl 1194.11046 Shorey, T. N.; Tijdeman, R. 2 1988 Products of three factorials. Zbl 1340.11040 Dujella, Andrej; Najman, Filip; Saradha, N.; Shorey, Tarlok N. 2 2014 Irreducibility of generalized Laguerre polynomials \(L_n^{(\frac{1}{2} + u)}(x)\) with integer \(u\). Zbl 1396.11053 Laishram, Shanta; Nair, Saranya G.; Shorey, T. N. 2 2016 Arithmetic properties of blocks of consecutive integers. Zbl 1398.11023 Shorey, Tarlok N.; Tijdeman, Rob 2 2016 Divisors of convergents of a continued fraction. Zbl 0513.10008 Shorey, T. N. 2 1983 Almost squares in arithmetic progression. III. Zbl 1215.11032 Mukhopadhyay, Anirban; Shorey, T. N. 2 2004 On the ratio of values of a polynomial. Zbl 0566.10011 Shorey, T. N. 2 1984 The number of prime divisors of a product of consecutive integers. Zbl 1256.11027 Balasubramanian, R.; Laishram, Shanta; Shorey, T. N.; Thangadurai, R. 2 2009 On the equation \(x(x+d_ 1)\dots (x+(k-1)d_ 1)= y(y+d_ 2)\dots (y+(mk-1)d_ 2)\). Zbl 0798.11008 Saradha, N.; Shorey, T. N. 1 1994 Extension of Laguerre polynomials with negative arguments. Zbl 1497.33014 Shorey, T. N.; Sinha, Sneh Bala 1 2022 On Baker’s explicit \(abc\)-conjecture. Zbl 1438.11091 Chim, Kwok Chi; Shorey, Tarlok Nath; Sinha, Sneh Bala 1 2019 Explicit \(abc\)-conjecture and its applications. Zbl 1440.11123 Chim, Kwok Chi; Nair, Saranya G.; Shorey, T. N. 1 2018 Generalized Laguerre polynomials with applications. Zbl 1535.11037 Nair, Saranya G.; Shorey, T. N. 2 2017 Lower bounds for the greatest prime factor of product of consecutive positive integers. Zbl 1400.11016 Nair, Saranya G.; Shorey, T. N. 6 2016 Irreducibility of generalized Hermite-Laguerre polynomials. III. Zbl 1354.33007 Laishram, Shanta; Shorey, T. N. 3 2016 Irreducibility of generalized Laguerre polynomials \(L_n^{(\frac{1}{2} + u)}(x)\) with integer \(u\). Zbl 1396.11053 Laishram, Shanta; Nair, Saranya G.; Shorey, T. N. 2 2016 Arithmetic properties of blocks of consecutive integers. Zbl 1398.11023 Shorey, Tarlok N.; Tijdeman, Rob 2 2016 Irreducibility of Laguerre polynomial \(L_n^{(-1-n-r)}(x)\). Zbl 1369.12004 Nair, Saranya G.; Shorey, T. N. 6 2015 Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials. Zbl 1390.11072 Saradha, N.; Shorey, T. N. 3 2015 Squares and factorials in products of factorials. Zbl 1373.11029 Luca, F.; Saradha, N.; Shorey, T. N. 4 2014 Products of three factorials. Zbl 1340.11040 Dujella, Andrej; Najman, Filip; Saradha, N.; Shorey, Tarlok N. 2 2014 Baker’s explicit \(abc\)-conjecture and applications. Zbl 1276.11048 Laishram, Shanta; Shorey, T. N. 12 2012 Irreducibility of generalized Hermite-Laguerre polynomials. Zbl 1275.11055 Laishram, Shanta; Shorey, Tarlok N. 5 2012 Extensions of Schur’s irreducibility results. Zbl 1232.33016 Laishram, Shanta; Shorey, T. N. 3 2011 Generalizations of some irreducibility results by Schur. Zbl 1208.12003 Shorey, T. N.; Tijdeman, R. 14 2010 Irreducibility of generalized Hermite-Laguerre polynomials. II. Zbl 1196.33009 Laishram, Shanta; Shorey, T. N. 9 2009 Exponential Diophantine equations. Reprint of the 1986 hardback ed. Zbl 1156.11015 Shorey, T. N.; Tijdeman, R. 9 2009 Products of members of Lucas sequences with indices in an interval being a power. Zbl 1228.11020 Luca, Florian; Shorey, T. N. 3 2009 The number of prime divisors of a product of consecutive integers. Zbl 1256.11027 Balasubramanian, R.; Laishram, Shanta; Shorey, T. N.; Thangadurai, R. 2 2009 Divisibility properties of generalized Laguerre polynomials. Zbl 1208.11036 Fuchs, 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 1158.11018 Laishram, Shanta; Shorey, T. N.; Tengely, Szabolcs 4 2008 Diophantine equations with products of consecutive terms in Lucas sequences. II. Zbl 1230.11041 Luca, Florian; Shorey, T. N. 4 2008 Almost perfect powers in consecutive integers. II. Zbl 1223.11039 Saradha, N.; Shorey, T. N. 3 2008 Squares in arithmetic progression with at most two terms omitted. Zbl 1177.11031 Laishram, Shanta; Shorey, T. N. 1 2008 An extension of a theorem of Euler. Zbl 1137.11022 Hirata-Kohno, Noriko; Laishram, Shanta; Shorey, T. N.; Tijdeman, R. 12 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 1140.11021 Saradha, N.; Shorey, T. N. 8 2007 The equation \(n(n+d) \cdots (n+(k-1)d)=by^2\) with \(\omega(d) \leq 6\) or \(d \leq 10^{10}\). Zbl 1140.11020 Laishram, Shanta; Shorey, T. N. 7 2007 Prime factors of arithmetic progressions and binomial coefficients. Zbl 1213.11175 Shorey, Tarlok N.; Tijdeman, Robert 4 2007 The greatest prime divisor of a product of terms in an arithmetic progression. Zbl 1165.11014 Laishram, Shanta; Shorey, T. N. 8 2006 Grimm’s conjecture on consecutive integers. Zbl 1116.11008 Laishram, Shanta; Shorey, T. N. 8 2006 Diophantine approximations, Diophantine equations, transcendence and applications. Zbl 1207.11074 Shorey, T. N. 4 2006 Powers in arithmetic progressions. III. Zbl 1127.11027 Shorey, T. N. 3 2006 The greatest prime divisor of a product of consecutive integers. Zbl 1165.11334 Laishram, Shanta; Shorey, T. N. 12 2005 Diophantine equations with products of consecutive terms in Lucas sequences. Zbl 1081.11023 Luca, F.; Shorey, T. N. 11 2005 Contributions towards a conjecture of Erdős on perfect powers in arithmetic progression. Zbl 1167.11305 Saradha, N.; Shorey, T. N. 5 2005 Number of prime divisors in a product of terms of an arithmetic progression. Zbl 1142.11356 Laishram, Shanta; Shorey, T. N. 11 2004 Number of prime divisors in a product of consecutive integers. Zbl 1046.11004 Laishram, Shanta; Shorey, T. N. 8 2004 Square free part of products of consecutive integers. Zbl 1049.11037 Mukhopadhyay, A.; Shorey, T. N. 5 2004 Almost squares in arithmetic progression. III. Zbl 1215.11032 Mukhopadhyay, Anirban; Shorey, T. N. 2 2004 Almost squares and factorisations in consecutive integers. Zbl 1038.11020 Saradha, N.; Shorey, T. N. 19 2003 Almost squares in arithmetic progression. Zbl 1036.11007 Saradha, N.; Shorey, T. N. 8 2003 Almost squares in arithmetic progression. II. Zbl 1030.11010 Mukhopadhyay, Anirban; Shorey, T. N. 5 2003 On the Diophantine equation \(\frac{x^m-1}{x-1}=\frac{y^n-1}{y-1}\). Zbl 1047.11028 Bugeaud, Yann; Shorey, T. N. 12 2002 Powers in arithmetic progression. Zbl 1043.11034 Shorey, T. N. 6 2002 Some extensions and refinements of a theorem of Sylvester. Zbl 1004.11008 Saradha, N.; Shorey, T. N.; Tijdeman, R. 5 2002 An equation of Goormaghtigh and Diophantine approximations. Zbl 1088.11023 Shorey, T. N. 3 2002 Powers in arithmetic progressions. II. Zbl 1127.11337 Shorey, T. N. 3 2002 On the number of solutions of the generalized Ramanujan-Nagell equation. Zbl 0995.11027 Bugeaud, Yann; Shorey, T. N. 40 2001 Transcendental infinite sums. Zbl 0991.11043 Adhikari, Sukumar Das; Saradha, N.; Shorey, T. N.; Tijdeman, R. 15 2001 Almost perfect powers in arithmetic progression. Zbl 1009.11025 Saradha, N.; Shorey, T. N. 13 2001 Almost perfect powers in consecutive integers. Zbl 0971.11017 Hanrot, G.; Saradha, N.; Shorey, T. N. 3 2001 Exponential diophantine equations involving products of consecutive integers and related equations. Zbl 0958.11026 Shorey, T. N. 13 2000 Some conjectures in the theory of exponential diophantine equations. Zbl 0961.11012 Shorey, T. N. 1 2000 Irreducibility of polynomials and arithmetic progressions with equal products of terms. Zbl 0933.11011 Beukers, F.; Shorey, T. N.; Tijdeman, R. 16 1999 The equation \(\frac{x^n-1}{x-1}=y^q\) with \(x\) square. Zbl 0922.11026 Saradha, N.; Shorey, T. N. 3 1999 On an equation of Goormaghtigh. Zbl 0896.11010 Nesterenko, Yu. V.; Shorey, T. N. 4 1998 Perfect powers in products of terms in an arithmetical progression. IV. Zbl 0896.11011 Balasubramanian, R.; Shorey, T. N. 2 1998 On the equation \((x^m-1)/(x-1)=y^q\) with \(x\) power. Zbl 0904.11009 Hirata-Kohno, Noriko; Shorey, Tarlok N. 1 1997 Some methods of Erdös applied to finite arithmetic progressions. Zbl 0874.11035 Shorey, T. N.; Tijdeman, R. 1 1997 Perfect powers in products of integers from a block of consecutive integers. II. Zbl 0859.11025 Shorey, T. N.; Nesterenko, Yu. V. 4 1996 Perfect powers in products of arithmetical progressions with fixed initial term. Zbl 0874.11034 Shorey, T. N. 3 1996 On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Zbl 0859.11012 Balasubramanian, 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 0867.11019 Mignotte, 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 0828.11016 Saradha, N.; Shorey, T. N.; Tijdeman, R. 3 1995 On arithmetic progressions of equal lengths with equal products. Zbl 0833.11010 Saradha, N.; Shorey, T. N.; Tijdeman, R. 2 1995 On values of a polynomial at arithmetic progressions with equal products. Zbl 0837.11015 Saradha, N.; Shorey, T. N.; Tijdeman, R. 1 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 0829.11015 Shorey, T. N. 1 1995 On arithmetic progression with equal products. Zbl 0812.11023 Saradha, 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 0798.11008 Saradha, N.; Shorey, T. N. 1 1994 Squares in products from a block of consecutive integers. Zbl 0802.11012 Balasubramanian, R.; Shorey, T. N. 4 1993 On the equation \(f(x+1)\dots f(x+k)= f(y+1)\dots f(y+mk)\). Zbl 0795.11015 Balasubramanian, R.; Shorey, T. N. 2 1993 On the equation \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\). Zbl 0757.11011 Saradha, N.; Shorey, T. N. 7 1992 Perfect powers in products of terms in an arithmetical progression. II. Zbl 0763.11015 Shorey, 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 0763.11013 Saradha, N.; Shorey, T. N. 2 1992 Perfect powers in arithmetical progression. II. Zbl 0763.11014 Shorey, T. N.; Tijdeman, R. 1 1992 On the number of prime factors of a finite arithmetical progression. Zbl 0773.11011 Shorey, T. N.; Tijdeman, R. 1 1992 Perfect powers in products of terms in an arithmetical progression. III. Zbl 0777.11007 Shorey, T. N.; Tijdeman, R. 1 1992 The equations \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\) with \(m=3,4\). Zbl 0757.11010 Saradha, N.; Shorey, T. N. 3 1991 Perfect powers in products of terms in an arithmetical progression. Zbl 0708.11021 Shorey, T. N.; Tijdeman, R. 15 1990 On the greatest prime factor of an arithmetical progression. Zbl 0709.11004 Shorey, T. N.; Tijdeman, R. 9 1990 On the ratio of two blocks of consecutive integers. Zbl 0716.11017 Saradha, N.; Shorey, T. N. 4 1990 On some arithmetical properties of weighted sums of S-units. Zbl 0738.11034 Györy, K.; Mignotte, M.; Shorey, T. N. 3 1990 On the greatest prime factor of an arithmetical progression. II. Zbl 0657.10044 Shorey, T. N.; Tijdeman, R. 1 1990 Some exponential diophantine equations. II. Zbl 0748.11022 Shorey, T. N. 5 1989 On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049 Balasubramanian, R.; Shorey, T. N.; Waldschmidt, M. 5 1989 Integers with identical digits. Zbl 0693.10008 Shorey, T. N. 3 1989 On the number of prime factors of an arithmetical progression. Zbl 0705.11052 Shorey, T. N.; Tijdeman, R. 1 1989 Some exponential diophantine equations. Zbl 0658.10024 Shorey, T. N. 4 1988 Perfect powers in arithmetical progression. Zbl 1194.11046 Shorey, T. N.; Tijdeman, R. 2 1988 Odd values of the Ramanjuan \(\tau\)-function. Zbl 0635.10020 Murty, M. Ram; Murty, V. Kumar; Shorey, T. N. 19 1987 Pure powers in recurrence sequences and some related diophantine equations. Zbl 0624.10009 Shorey, T. N.; Stewart, C. L. 18 1987 Perfect powers in products of integers from a block of consecutive integers. Zbl 0582.10012 Shorey, T. N. 3 1987 Equal values of binary forms at integral points. Zbl 0636.10014 Evertse, J.-H.; Györy, K.; Shorey, T. N.; Tijdeman, R. 1 1987 Ramanujan and binary recursive sequences. Zbl 0669.10020 Shorey, T. N. 1 1987 Exponential Diophantine equations. Zbl 0606.10011 Shorey, T. N.; Tijdeman, R. 176 1986 Perfect powers in values of certain polynomials at integer points. Zbl 0598.10029 Shorey, T. N. 7 1986 On the equation \(ax^ m-by^ n=k\). Zbl 0603.10019 Shorey, T. N. 5 1986 On the equation \(z^ q=(x^ n-1)/(x-1)\). Zbl 0603.10018 Shorey, T. N. 3 1986 The distance between terms of an algebraic recurrence sequence. Zbl 0521.10011 Mignotte, M.; Shorey, T. N.; Tijdeman, R. 36 1984 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 477 Authors 43 Shorey, Tarlok Nath 42 Luca, Florian 36 Hajdu, Lajos 22 Saradha, N. 21 Laishram, Shanta 17 Bennett, Michael A. 15 Bugeaud, Yann 14 Togbé, Alain 13 Győry, Kálmán 13 Pethő, Attila 13 Tijdeman, Robert 12 Worrell, James Benjamin 11 Bérczes, Attila 11 Marques, Diego 11 Mignotte, Maurice 11 Ouaknine, Joel O. 9 Le, Maohua 9 Rout, Sudhansu Sekhar 9 Waldschmidt, Michel 8 Pink, István 8 Siksek, Samir 8 Yuan, Pingzhi 7 Stewart, Cameron L. 7 Tengely, Szabolcs 7 Trojovský, Pavel 7 Tzanakis, Nikos 6 Gómez, Carlos Alexis 6 Murty, Maruti Ram 6 Nair, Saranya G. 6 Pintér, Ákos 6 Szalay, László 5 de Weger, Benjamin M. M. 5 Fuchs, Clemens 5 Shparlinski, Igor E. 5 Tichy, Robert Franz 5 Varga, Nóra 5 Ziegler, Volker 4 Almagor, Shaull 4 Das, Pranabesh 4 Evertse, Jan-Hendrik 4 Filaseta, Michael A. 4 Fu, Ruiqin 4 Fujita, Yasutsugu 4 García, Jonathan 4 Gun, Sanoli 4 Kovács, Tünde 4 Meher, Nabin Kumar 4 Miyazaki, Takafumi 4 Rihane, Salah Eddine 4 Shallit, Jeffrey Outlaw 4 Subburam, Sivanarayanapandian 4 Yang, Hai 4 Zannier, Umberto M. 3 Balakrishnan, Jennifer S. 3 Balasubramanian, Ramachandran 3 Banerjee, Pradipto 3 Bertók, Csanád 3 Bundschuh, Peter 3 Chakraborty, Kalyan 3 Faye, Bernadette 3 Gaál, István 3 He, Bo 3 Herendi, O. 3 Hernández Hernández, Santos 3 Hong, Shaofang 3 Hoque, Azizul 3 Ito, Akiko 3 Karimov, Toghrul 3 Kreso, Dijana 3 Laurent, Michel 3 Levesque, Claude 3 Németh, László 3 Ono, Ken 3 Papp, Ágoston 3 Patel, Vandita 3 Scott, Reese 3 Sebestyén, Peter 3 Sha, Min 3 Soydan, Gokhan 3 Styer, Robert Alan 3 Töpfer, Thomas 3 Ulas, Maciej 3 Vahanwala, Mihir 3 Walsh, Peter Gareth 2 Akshay, S. 2 Amir, Malik 2 Bauer, Mark L. 2 Bazsó, András 2 Becker, Paul-Georg 2 Bell, Paul C. 2 Bilu, Yuri F. 2 Bravo, Eric Fernando 2 Bravo, Jhon Jairo 2 Brindza, Béla 2 Bubboloni, Daniela 2 Cai, Tianxin 2 Cohn, John H. E. 2 Corvaja, Pietro 2 Craig, William 2 Deng, Naijuan ...and 377 more Authors all top 5 Cited in 115 Serials 70 Journal of Number Theory 42 Indagationes Mathematicae. New Series 20 International Journal of Number Theory 19 Acta Arithmetica 16 Periodica Mathematica Hungarica 15 Journal de Théorie des Nombres de Bordeaux 13 Monatshefte für Mathematik 13 The Ramanujan Journal 11 Bulletin of the Australian Mathematical Society 10 Compositio Mathematica 9 Mathematics of Computation 9 Archiv der Mathematik 8 Rocky Mountain Journal of Mathematics 7 Indian Journal of Pure & Applied Mathematics 7 Functiones et Approximatio. Commentarii Mathematici 7 Mathematika 7 Acta Mathematica Hungarica 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Research in Number Theory 5 Acta Mathematica 5 Transactions of the American Mathematical Society 5 Journal of Integer Sequences 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Glasgow Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 Mathematica Slovaca 4 Experimental Mathematics 4 Integers 4 Bulletin of the Brazilian Mathematical Society. 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Series II 2 Quaestiones Mathematicae 2 Theoretical Computer Science 2 Forum Mathematicum 2 Kyushu Journal of Mathematics 2 The New York Journal of Mathematics 2 Mathematical Communications 2 Theory of Computing Systems 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 Acta Mathematica Universitatis Ostraviensis 2 Communications in Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Archivum Mathematicum 1 Automatica 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tokyo Journal of Mathematics 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 Expositiones Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Journal of Probability ...and 15 more Serials all top 5 Cited in 31 Fields 459 Number theory (11-XX) 23 Computer science (68-XX) 22 Algebraic geometry (14-XX) 21 Special functions (33-XX) 18 Field theory and polynomials (12-XX) 17 Mathematical logic and foundations (03-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Group theory and generalizations (20-XX) 10 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 4 Associative rings and algebras (16-XX) 4 Real functions (26-XX) 3 Abstract harmonic analysis (43-XX) 3 Convex and discrete geometry (52-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Sequences, series, summability (40-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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