Compute Distance To:
 Documents Indexed: 76 Publications since 1981 1 Contribution as Editor Reviewing Activity: 16 Reviews Co-Authors: 25 Co-Authors with 62 Joint Publications 848 Co-Co-Authors
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### Co-Authors

 14 single-authored 23 Shorey, Tarlok Nath 11 Tijdeman, Robert 8 Sharma, Divyum 7 Hajdu, Lajos 7 Murty, Maruti Ram 3 Dujella, Andrej 3 Laishram, Shanta 3 Srinivasan, Anitha 2 Adhikari, Sukumar Das 2 Akhtari, Shabnam 2 Das, Pranabesh 2 Saha, Ekata 2 Sankaranarayanan, Ayyadurai 1 Bérczes, Attila 1 Filaseta, Michael A. 1 Finch, Carrie E. 1 Győry, Kálmán 1 Hanrot, Guillaume 1 Luca, Florian 1 Murty, Vijaya Kumar 1 Najman, Filip 1 Pinner, Christopher G. 1 Rath, Purusottam 1 Singh, Saurabh Kumar 1 van der Poorten, Alfred J.
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### Serials

 21 Acta Arithmetica 9 Indagationes Mathematicae. New Series 6 Journal of Number Theory 6 Publicationes Mathematicae Debrecen 4 International Journal of Number Theory 3 Compositio Mathematica 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal de Théorie des Nombres de Bordeaux 2 The Ramanujan Journal 1 Mathematics of Computation 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Journal of the London Mathematical Society. Second Series 1 Mathematika 1 Monatshefte für Mathematik 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Tata Institute of Fundamental Research. Studies in Mathematics
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### Fields

 76 Number theory (11-XX) 5 Special functions (33-XX) 2 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

58 Publications have been cited 311 times in 194 Documents Cited by Year
Modular forms and the Chebotarev density theorem. Zbl 0644.10018
Murty, M. Ram; Murty, V. Kumar; Saradha, N.
1988
Transcendental values of the digamma function. Zbl 1222.11097
2007
Euler-Lehmer constants and a conjecture of Erdős. Zbl 1204.11114
2010
Transcendental infinite sums. Zbl 0991.11043
2001
Almost squares and factorisations in consecutive integers. Zbl 1038.11020
2003
Special values of the polygamma functions. Zbl 1189.11039
2009
Almost perfect powers in arithmetic progression. Zbl 1009.11025
2001
On the Diophantine equation $$n(n+d) \cdots (n+(k-1)d)= by^l$$. Zbl 1115.11020
Győry, K.; Hajdu, L.; Saradha, N.
2005
Almost squares in arithmetic progression. Zbl 1036.11007
2003
On the sets of uniqueness of a distribution function of $$\{\xi(p/q)^n\}$$. Zbl 1163.11333
2005
Solutions of some generalized Ramanujan-Nagell equations. Zbl 1110.11012
2006
Transcendental values of the $$p$$-adic digamma function. Zbl 1253.11077
2008
On the equation $$(x+1)\dots(x+k)=(y+1)\dots(y+mk)$$. Zbl 0757.11011
1992
Estimates for the solutions of certain Diophantine equations by Runge’s method. Zbl 1165.11035
2008
On perfect powers in products with terms from arithmetic progressions. Zbl 0922.11025
1997
On the transcendence of infinite sums of values of rational functions. Zbl 1045.11051
2003
On a conjecture of Pomerance. Zbl 1311.11093
Hajdu, L.; Saradha, N.; Tijdeman, R.
2012
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
2007
Some extensions and refinements of a theorem of Sylvester. Zbl 1004.11008
Saradha, N.; Shorey, T. N.; Tijdeman, R.
2002
Solutions of some generalized Ramanujan-Nagell equations via binary quadratic forms. Zbl 1164.11020
2007
Contributions towards a conjecture of Erdős on perfect powers in arithmetic progression. Zbl 1167.11305
2005
On a problem of Recaman and its generalization. Zbl 1226.11005
2011
On a problem of Pillai and its generalizations. Zbl 1248.11072
2010
Disproof of a conjecture of Jacobsthal. Zbl 1290.11132
2012
On the irreducibility of certain polynomials with coefficients as products of terms in an arithmetic progression. Zbl 1208.12002
2010
Diophantine $$m$$-tuples with elements in arithmetic progressions. Zbl 1377.11037
2014
Conjecture of Pomerance for some even integers and odd primorials. Zbl 1249.11094
2011
The equations $$(x+1)\dots(x+k)=(y+1)\dots(y+mk)$$ with $$m=3,4$$. Zbl 0757.11010
1991
The equation $$\frac{x^n-1}{x-1}=y^q$$ with $$x$$ square. Zbl 0922.11026
1999
On the ratio of two blocks of consecutive integers. Zbl 0716.11017
1990
Squares and factorials in products of factorials. Zbl 1373.11029
Luca, F.; Saradha, N.; Shorey, T. N.
2014
On arithmetic progression with equal products. Zbl 0812.11023
Saradha, N.; Shorey, T. N.; Tijdeman, R.
1994
Almost perfect powers in consecutive integers. II. Zbl 1223.11039
2008
Transcendence measure for $$\eta/\omega$$. Zbl 0946.11014
2000
Almost perfect powers in consecutive integers. Zbl 0971.11017
Hanrot, G.; Saradha, N.; Shorey, T. N.
2001
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.
1995
On arithmetic progressions of equal lengths with equal products. Zbl 0833.11010
Saradha, N.; Shorey, T. N.; Tijdeman, R.
1995
On the sieve of Eratosthenes. Zbl 0642.10040
1987
On the equation $$x(x +d) \cdots (x +(k - 1)d) = y(y + d) \cdots (y + (mk - 1)d)$$. Zbl 0763.11013
1992
On generalizations of problems of Recaman and Pomerance. Zbl 1406.11096
2016
Chowla’s problem on the non-vanishing of certain infinite series and related questions. Zbl 1234.11131
2008
Thue’s inequalities and the hypergeometric method. Zbl 1412.11061
Akhtari, Shabnam; Saradha, N.; Sharma, Divyum
2018
Application of the explicit $$abc$$-conjecture to two Diophantine equations. Zbl 1261.11036
2012
Products of three factorials. Zbl 1340.11040
Dujella, Andrej; Najman, Filip; Saradha, N.; Shorey, Tarlok N.
2014
Number of representations of integers by binary forms. Zbl 1349.11070
2014
Solving $$n(n + d) \cdots (n + (k - 1)d) = by^{2}$$ with $$P(b) \leq Ck$$. Zbl 1268.11045
Filaseta, M.; Laishram, S.; Saradha, N.
2012
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
1994
An asymptotic formula by a method of Selberg. Zbl 0799.11033
1993
Variants of Erdős-Selfridge superelliptic curves and their rational points. Zbl 1439.11151
Das, Pranabesh; Laishram, Shanta; Saradha, N.
2018
On values of a polynomial at arithmetic progressions with equal products. Zbl 0837.11015
Saradha, N.; Shorey, T. N.; Tijdeman, R.
1995
Irreducibility of some orthogonal polynomials. Zbl 1229.33013
2011
Number of solutions of cubic Thue inequalities with positive discriminant. Zbl 1384.11063
2015
Arithmetic progressions with common difference divisible by small primes. Zbl 1193.11031
2008
On interlacing of the zeros of a certain family of modular forms. Zbl 1433.11041
2018
Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials. Zbl 1390.11072
2015
Pillai’s problem on consecutive integers. Zbl 1239.11107
2009
Cubes in products of terms from an arithmetic progression. Zbl 1410.11028
Das, Pranabesh; Laishram, Shanta; Saradha, N.
2018
Products of factorials which are powers. Zbl 1441.11062
Bérczes, A.; Dujella, A.; Hajdu, L.; Saradha, N.; Tijdeman, R.
2019
Products of factorials which are powers. Zbl 1441.11062
Bérczes, A.; Dujella, A.; Hajdu, L.; Saradha, N.; Tijdeman, R.
2019
Thue’s inequalities and the hypergeometric method. Zbl 1412.11061
Akhtari, Shabnam; Saradha, N.; Sharma, Divyum
2018
Variants of Erdős-Selfridge superelliptic curves and their rational points. Zbl 1439.11151
Das, Pranabesh; Laishram, Shanta; Saradha, N.
2018
On interlacing of the zeros of a certain family of modular forms. Zbl 1433.11041
2018
Cubes in products of terms from an arithmetic progression. Zbl 1410.11028
Das, Pranabesh; Laishram, Shanta; Saradha, N.
2018
On generalizations of problems of Recaman and Pomerance. Zbl 1406.11096
2016
Number of solutions of cubic Thue inequalities with positive discriminant. Zbl 1384.11063
2015
Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials. Zbl 1390.11072
2015
Diophantine $$m$$-tuples with elements in arithmetic progressions. Zbl 1377.11037
2014
Squares and factorials in products of factorials. Zbl 1373.11029
Luca, F.; Saradha, N.; Shorey, T. N.
2014
Products of three factorials. Zbl 1340.11040
Dujella, Andrej; Najman, Filip; Saradha, N.; Shorey, Tarlok N.
2014
Number of representations of integers by binary forms. Zbl 1349.11070
2014
On a conjecture of Pomerance. Zbl 1311.11093
Hajdu, L.; Saradha, N.; Tijdeman, R.
2012
Disproof of a conjecture of Jacobsthal. Zbl 1290.11132
2012
Application of the explicit $$abc$$-conjecture to two Diophantine equations. Zbl 1261.11036
2012
Solving $$n(n + d) \cdots (n + (k - 1)d) = by^{2}$$ with $$P(b) \leq Ck$$. Zbl 1268.11045
Filaseta, M.; Laishram, S.; Saradha, N.
2012
On a problem of Recaman and its generalization. Zbl 1226.11005
2011
Conjecture of Pomerance for some even integers and odd primorials. Zbl 1249.11094
2011
Irreducibility of some orthogonal polynomials. Zbl 1229.33013
2011
Euler-Lehmer constants and a conjecture of Erdős. Zbl 1204.11114
2010
On a problem of Pillai and its generalizations. Zbl 1248.11072
2010
On the irreducibility of certain polynomials with coefficients as products of terms in an arithmetic progression. Zbl 1208.12002
2010
Special values of the polygamma functions. Zbl 1189.11039
2009
Pillai’s problem on consecutive integers. Zbl 1239.11107
2009
Transcendental values of the $$p$$-adic digamma function. Zbl 1253.11077
2008
Estimates for the solutions of certain Diophantine equations by Runge’s method. Zbl 1165.11035
2008
Almost perfect powers in consecutive integers. II. Zbl 1223.11039
2008
Chowla’s problem on the non-vanishing of certain infinite series and related questions. Zbl 1234.11131
2008
Arithmetic progressions with common difference divisible by small primes. Zbl 1193.11031
2008
Transcendental values of the digamma function. Zbl 1222.11097
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
2007
Solutions of some generalized Ramanujan-Nagell equations via binary quadratic forms. Zbl 1164.11020
2007
Solutions of some generalized Ramanujan-Nagell equations. Zbl 1110.11012
2006
On the Diophantine equation $$n(n+d) \cdots (n+(k-1)d)= by^l$$. Zbl 1115.11020
Győry, K.; Hajdu, L.; Saradha, N.
2005
On the sets of uniqueness of a distribution function of $$\{\xi(p/q)^n\}$$. Zbl 1163.11333
2005
Contributions towards a conjecture of Erdős on perfect powers in arithmetic progression. Zbl 1167.11305
2005
Almost squares and factorisations in consecutive integers. Zbl 1038.11020
2003
Almost squares in arithmetic progression. Zbl 1036.11007
2003
On the transcendence of infinite sums of values of rational functions. Zbl 1045.11051
2003
Some extensions and refinements of a theorem of Sylvester. Zbl 1004.11008
Saradha, N.; Shorey, T. N.; Tijdeman, R.
2002
Transcendental infinite sums. Zbl 0991.11043
2001
Almost perfect powers in arithmetic progression. Zbl 1009.11025
2001
Almost perfect powers in consecutive integers. Zbl 0971.11017
Hanrot, G.; Saradha, N.; Shorey, T. N.
2001
Transcendence measure for $$\eta/\omega$$. Zbl 0946.11014
2000
The equation $$\frac{x^n-1}{x-1}=y^q$$ with $$x$$ square. Zbl 0922.11026
1999
On perfect powers in products with terms from arithmetic progressions. Zbl 0922.11025
1997
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.
1995
On arithmetic progressions of equal lengths with equal products. Zbl 0833.11010
Saradha, N.; Shorey, T. N.; Tijdeman, R.
1995
On values of a polynomial at arithmetic progressions with equal products. Zbl 0837.11015
Saradha, N.; Shorey, T. N.; Tijdeman, R.
1995
On arithmetic progression with equal products. Zbl 0812.11023
Saradha, N.; Shorey, T. N.; Tijdeman, R.
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
1994
An asymptotic formula by a method of Selberg. Zbl 0799.11033
1993
On the equation $$(x+1)\dots(x+k)=(y+1)\dots(y+mk)$$. Zbl 0757.11011
1992
On the equation $$x(x +d) \cdots (x +(k - 1)d) = y(y + d) \cdots (y + (mk - 1)d)$$. Zbl 0763.11013
1992
The equations $$(x+1)\dots(x+k)=(y+1)\dots(y+mk)$$ with $$m=3,4$$. Zbl 0757.11010
1991
On the ratio of two blocks of consecutive integers. Zbl 0716.11017
1990
Modular forms and the Chebotarev density theorem. Zbl 0644.10018
Murty, M. Ram; Murty, V. Kumar; Saradha, N.
1988
On the sieve of Eratosthenes. Zbl 0642.10040
1987
all top 5