SU\G(𝔸)/K·U

Ajai Choudhry

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All published works
Action Title Year Authors
+ PDF Chat The diophantine equation $x^4+y^4=z^4+w^4$ 2024 Ajai Choudhry
Arman Shamsi Zargar
+ PDF Chat Finite sequences of integers expressible as sums of two squares 2024 Ajai Choudhry
Bibekananda Maji
+ PDF Chat RATIONAL QUADRILATERALS 2024 Ajai Choudhry
+ PDF Chat The diophantine equation $x^4+y^4=z^4+w^4$ 2024 Ajai Choudhry
Arman Shamsi Zargar
+ PDF Chat An octic diophantine equation and related families of elliptic curves 2023 Ajai Choudhry
Arman Shamsi Zargar
+ Two pairs of biquadrates with equal sums 2023 Ajai Choudhry
+ Finite sequences of integers expressible as sums of two squares 2023 Ajai Choudhry
Bibekananda Maji
+ Circles with four rational points in geometric progression 2023 Ajai Choudhry
+ Expressing an integer as a sum of cubes of polynomials 2023 Ajai Choudhry
+ Expressing three consecutive integers as sums of three cubes 2023 Ajai Choudhry
+ PDF Chat A Diophantine problem concerning third order matrices 2022 Ajai Choudhry
+ PDF Chat Matrix morphology and composition of higher degree forms with applications to diophantine equations 2022 Ajai Choudhry
+ An octic diophantine equation and related families of elliptic curves 2022 Ajai Choudhry
Arman Shamsi Zargar
+ Ideal solutions of the Tarry-Escott Problem of degree seven 2022 Ajai Choudhry
+ Rational quadrilaterals 2022 Ajai Choudhry
+ PDF Chat Pairs of equiperimeter and equiareal triangles whose sides are perfect squares 2021 Ajai Choudhry
Arman Shamsi Zargar
+ A new diophantine equation involving fifth powers 2021 Ajai Choudhry
Oliver Couto
+ A diophantine equation inspired by Brahmagupta’s identity 2021 Ajai Choudhry
Iliya Bluskov
Alexander James
+ Some diophantine problems concerning a pair of rational triangles with a common circumradius 2021 Ajai Choudhry
+ A new diophantine equation involving fifth powers 2021 Ajai Choudhry
Oliver Couto
+ New solutions of the Tarry-Escott problem of degrees 2, 3 and 5 2021 Ajai Choudhry
+ A diophantine problem concerning third order matrices 2021 Ajai Choudhry
+ A new diophantine equation involving fifth powers 2021 Ajai Choudhry
Oliver Couto
+ Pairs of equiperimeter and equiareal triangles whose sides are perfect squares 2021 Ajai Choudhry
Arman Shamsi Zargar
+ Some diophantine problems concerning a pair of rational triangles with a common circumradius 2021 Ajai Choudhry
+ PDF Chat An improvement of Prouhet’s 1851 result on multigrade chains 2020 Ajai Choudhry
+ PDF Chat A parametrised family of Mordell curves with a rational point of order 3 2020 Ajai Choudhry
Arman Shamsi Zargar
+ A quartic diophantine equation inspired by Brahmagupta's identity 2020 Ajai Choudhry
Iliya Bluskov
Alexander James
+ Matrix morphology and composition of higher degree forms with applications to diophantine equations 2020 Ajai Choudhry
+ The Fermat cubic and quartic curves over cyclic fields 2019 Andrew Bremner
Ajai Choudhry
+ PDF Chat Symmetric diophantine systems and families of elliptic curves of high rank 2019 Ajai Choudhry
+ An improvement of Prouhet's 1851 result on multigrade chains 2019 Ajai Choudhry
+ A diophantine system 2019 Ajai Choudhry
+ PDF Chat Brahmagupta quadrilaterals with equal perimeters and equal areas 2019 Ajai Choudhry
+ Cyclic pentagons and hexagons with integer sides, diagonals and areas 2019 Ajai Choudhry
+ Brahmagupta quadrilaterals with equal perimeters and equal areas 2019 Ajai Choudhry
+ A sextic diophantine chain and a related Mordell curve 2019 Ajai Choudhry
Arman Shamsi Zargar
+ An improvement of Prouhet's 1851 result on multigrade chains 2019 Ajai Choudhry
+ Cyclic pentagons and hexagons with integer sides, diagonals and areas 2019 Ajai Choudhry
+ Brahmagupta quadrilaterals with equal perimeters and equal areas 2019 Ajai Choudhry
+ A diophantine system 2019 Ajai Choudhry
+ Symmetric diophantine systems and families of elliptic curves of high rank 2018 Ajai Choudhry
+ PDF Chat A symmetric Diophantine equation involving biquadrates 2018 Ajai Choudhry
+ A new method of solving certain quartic and higher degree diophantine equations 2018 Ajai Choudhry
+ Symmetric diophantine systems and families of elliptic curves of high rank 2018 Ajai Choudhry
+ PDF Chat An ancient diophantine equation with applications to numerical curios and geometric series 2017 Ajai Choudhry
Jarosław Wróblewski
+ A diophantine problem on biquadrates revisited 2017 Ajai Choudhry
+ A new method of solving quartic and higher degree diophantine equations 2017 Ajai Choudhry
+ A symmetric diophantine equation involving biquadrates 2017 Ajai Choudhry
+ Triads of integers with equal sums of squares and equal products and a related multigrade chain 2017 Ajai Choudhry
Jarosław Wróblewski
+ A new method of solving quartic and higher degree diophantine equations 2017 Ajai Choudhry
+ A diophantine problem on biquadrates revisited 2017 Ajai Choudhry
+ A symmetric diophantine equation involving biquadrates 2017 Ajai Choudhry
+ PDF Chat A new approach to the Tarry–Escott problem 2016 Ajai Choudhry
+ PDF Chat Quadratic diophantine equations with applications to quartic equations 2016 Ajai Choudhry
+ An Ancient Diophantine Equation with applications to Numerical Curios and Geometric Series 2016 Ajai Choudhry
Jarosław Wróblewski
+ A new approach to the Tarry-Escott problem 2016 Ajai Choudhry
+ Equal Sums of Like Powers with Minimum Number of Terms 2016 Ajai Choudhry
+ Equal Sums of Like Powers with Minimum Number of Terms 2016 Ajai Choudhry
+ A parametrised family of Mordell curves 2016 Ajai Choudhry
Arman Shamsi Zargar
+ A Note on the Quartic Diophantine Equation $A^4+hB^4=C^4+hD^4$ 2016 Ajai Choudhry
+ Rational Points in Arithmetic Progression on the Unit Circle. 2016 Ajai Choudhry
Abhishek Juyal
+ Equal Sums of Like Powers with Minimum Number of Terms 2016 Ajai Choudhry
+ A new approach to the Tarry-Escott problem 2016 Ajai Choudhry
+ An Ancient Diophantine Equation with applications to Numerical Curios and Geometric Series 2016 Ajai Choudhry
Jarosław Wróblewski
+ A diophantine problem from calculus 2015 Ajai Choudhry
+ Arithmetic Progressions on Huff Curves 2015 Ajai Choudhry
+ ON EQUAL SUMS OF FIFTH POWERS 2015 Ajai Choudhry
+ Quadratic diophantine equations with applications to quartic equations 2014 Ajai Choudhry
+ Sextuples of integers whose sums in pairs are squares 2014 Ajai Choudhry
+ Three triads of integers with equal sums of squares and cubes 2014 Ajai Choudhry
Jarosław Wróblewski
+ PDF Chat Quintuples of positive integers whose sums in pairs or in triples are squares 2014 Ajai Choudhry
+ PDF Chat Constructions of diagonal quartic and sextic surfaces with infinitely many rational points 2014 Andrew Bremner
Ajai Choudhry
Maciej Ulas
+ Constructions of diagonal quartic and sextic surfaces with infinitely many rational points 2014 Andrew Bremner
Ajai Choudhry
Maciej Ulas
+ Constructions of diagonal quartic and sextic surfaces with infinitely many rational points 2014 Andrew Bremner
Ajai Choudhry
Maciej Ulas
+ Quadratic diophantine equations with applications to quartic equations 2014 Ajai Choudhry
+ A quintic diophantine equation with applications to two diophantine systems concerning fifth powers 2013 Ajai Choudhry
Jarosław Wróblewski
+ Equal sums of like powers and equal products of integers 2013 Ajai Choudhry
+ A symmetric diophantine system concerning fifth powers 2012 Ajai Choudhry
Jarosław Wróblewski
+ Equal sums of like powers, both positive and negative 2011 Ajai Choudhry
+ PDF Chat Some diophantine problems concerning equal sums of integers and their cubes 2010 Ajai Choudhry
+ PDF Chat Ideal solutions of the Tarry-Escott problem of degree eleven with applications to sums of thirteenth powers. 2008 Ajai Choudhry
Jarosław Wróblewski
+ PDF Chat Rational triangles with the same perimeter and the same area. 2007 Ajai Choudhry
+ Integer Solutions of Linear Diophantine Equations Form a Group 2006 Ajai Choudhry
+ PDF Chat Points at Rational Distances on a Parabola 2006 Ajai Choudhry
+ PDF Chat Some normal extensions of the Diophantine group 2006 Kenneth K. Nwabueze
Ajai Choudhry
+ PDF Chat Parametric Solutions of the Quartic Diophantine Equation $f(x,y)=f(u,v)$ 2005 Ajai Choudhry
+ A diophantine problem concerning cubes 2005 Ajai Choudhry
+ The complete solution of a diophantine equation involving biquadrates 2004 Ajai Choudhry
+ Extraction of nth roots of 2×2 matrices 2004 Ajai Choudhry
+ TRIADS OF INTEGERS WITH EQUAL SUMS OF SQUARES, CUBES AND FOURTH POWERS 2003 Ajai Choudhry
+ PDF Chat On the Solvability of Two Simultaneous Symmetric Cubic Diophantine Equations with Applications to Sextic Diophantine Equations 2002 Ajai Choudhry
+ PDF Chat Equal Sums of Like Powers 2001 Ajai Choudhry
+ On Sums of Seventh Powers 2000 Ajai Choudhry
+ PDF Chat Equal Sums of Powers of the Terms of Arithmetic Progressions of Equal Lengths 2000 Ajai Choudhry
+ PDF Chat The Diophantine Equation $ax^5+by^5+cz^5=au^5+bv^5+cw^5$ 1999 Ajai Choudhry
+ PDF Chat On Equal Sums of Cubes 1998 Ajai Choudhry
+ PDF Chat On arithmetic progressions of equal lengthsand equal products of terms 1997 Ajai Choudhry
+ Multigrade chains with odd exponents 1992 Ajai Choudhry
+ PDF Chat On the number of terms in the irreducible factors of a polynomial over ℚ 1992 Ajai Choudhry
Andrzej Schinzel
+ PDF Chat Symmetric Diophantine systems 1991 Ajai Choudhry
Common Coauthors
Coauthor Papers Together
Arman Shamsi Zargar 9
Jarosław Wróblewski 8
Andrew Bremner 4
Maciej Ulas 3
Oliver Couto 3
Iliya Bluskov 2
Bibekananda Maji 2
Alexander James 2
Kenneth K. Nwabueze 1
Andrzej Schinzel 1
Abhishek Juyal 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ History of the Theory of Numbers 1919 L. E. Dickson
 18
+ PDF Chat Symmetric Diophantine systems 1991 Ajai Choudhry
 9
+ A geometric approach to equal sums of fifth powers 1981 Andrew Bremner
 6
+ PDF Chat Unsolved Problems in Number Theory 1994 Richard K. Guy
 6
+ Equal sums of like powers and equal products of integers 2013 Ajai Choudhry
 5
+ Geometric Aspects of Diophantine Equations Involving Equal Sums of Like Powers 1968 L. J. Lander
 4
+ Diophantine equations 1969 L. J. Mordell
 4
+ History of the theory of numbers 1919 L. E. Dickson
 4
+ A Geometric Approach to Equal Sums of Sixth Powers 1981 Andrew Bremner
 4
+ Geometric Aspects of Diophantine Equations Involving Equal Sums of Like Powers 1968 L. J. Lander
 4
+ PDF Chat Ideal solutions of the Tarry-Escott problem of degree eleven with applications to sums of thirteenth powers. 2008 Ajai Choudhry
Jarosław Wróblewski
 4
+ Rational Points on Elliptic Curves 1992 Joseph H. Silverman
John Tate
 4
+ Isosceles Triangles Equal in Perimeter and Area 1998 Paul Yiu
 4
+ Parameśvara's rule for the circumradius of a cyclic quadrilateral 1977 R. C. Gupta
 4
+ History of the theory of numbers 1919 L. E. Dickson
 3
+ PDF Chat Quadratic diophantine equations with applications to quartic equations 2016 Ajai Choudhry
 3
+ An Introduction to the History of Mathematics 1978 John Niman
Howard Eves
 3
+ PDF Chat Equal sums of like powers 1948 E. M. Wright
 3
+ PDF Chat Some results on Heron triangles 2001 Mohammed Aassila
 3
+ PDF Chat Rational triangles with the same perimeter and the same area. 2007 Ajai Choudhry
 3
+ Advanced Topics in the Arithmetic of Elliptic Curves 1994 Joseph H. Silverman
 3
+ Ideal 9th-order multigrades and Letac’s elliptic curve 1991 Chris Smyth
 3
+ On Heron triangles. 2006 Andrew Bremner
 2
+ PDF Chat An Introduction To The Theory Of Numbers 2008 G. H. Hardy
E. M. Wright
 2
+ PDF Chat Rational Points on Elliptic Curves 2015 Joseph H. Silverman
John Tate
 2
+ An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford) 1946 T. A. A. B.
 2
+ PDF Chat THE NUMBER OF SOLUTIONS TO MORDELL'S EQUATION IN CONSTRAINED RANGES 2014 Matthew P. Young
 2
+ Pairs of rational triangles with equal symmetric invariants 2020 Dorin Andrica
George C. Ţurcaş
 2
+ PDF Chat Unsolved Problems in Number Theory 2004 Richard K. Guy
 2
+ On the Diophantine equation $ \sum_{i=1}^n a_ix_{i} ^4= \sum_{j=1}^na_j y_{j}^4 $ 2017 Farzali Izadi
Mehdi Baghalagdam
 2
+ Prouhet's 1851 Solution of the Tarry-Escott Problem of 1910 1959 E. M. Wright
 2
+ PDF Chat A New Proof of a Theorem of Lehmer 1958 Joe Roberts
 2
+ Cyclic polygons with rational sides and area 2007 Ralph H. Buchholz
James A. MacDougall
 2
+ Two Equal Sums of Three Squares with Equal Products 1991 John Kelly
 2
+ On the Diophantine Equation <i>F</i> ≡<i>ax</i> <sup>4</sup> +<i>by</i> <sup>4</sup> +<i>cz</i> <sup>4</sup> +<i>dw</i> <sup>4</sup> =0, the Product <i>abcd</i> Being a Square Number 1944 H. W. Richmond
 2
+ PDF Chat A survey of equal sums of like powers 1967 L. J. Lander
T. R. Parkin
J. L. Selfridge
 2
+ PDF Chat The number of solutions of the Mordell equation 1999 Dimitrios Poulakis
 2
+ PDF Chat An introduction to the theory of numbers 1960 G. H. Hardy
 2
+ PDF Chat An elliptic K3 surface associated to Heron triangles 2006 Ronald van Luijk
 2
+ PDF Chat On the Diophantine Equation <i>n</i>(<i>n</i> + <i>d</i>) · · · (<i>n</i> + (<i>k</i> − 1)<i>d</i>) = <i>by</i><sup><i>l</i></sup> 2004 Kálmán Győry
Lajos Hajdu
N. Saradha
 2
+ PDF Chat On Equal Sums of Cubes 1998 Ajai Choudhry
 2
+ Some Equations <i>y</i> <sup>2</sup> = <i>x</i> <sup>3</sup> −<i>k</i> without Integer Solutions 1953 Marshall Hall
 2
+ The origins of combinatorics on words 2005 Jean Berstel
Dominique Perrin
 2
+ PDF Chat None 1998 Josef Gebel
A. Pethö
Horst G. Zimmer
 2
+ Pairs of Pythagorean triangles with given ratios between catheti 2019 Mariusz Skałba
Maciej Ulas
 2
+ PDF Chat On 𝐴⁴+𝐵⁴+𝐶⁴=𝐷⁴ 1988 Noam D. Elkies
 1
+ PDF Chat On the composition of algebraic forms of higher degree 1945 C. C. MacDuffee
 1
+ Polynomials whose roots and critical points are integers 2004 Jean-Claude Evard
 1
+ PDF Chat Quintuples of positive integers whose sums in pairs or in triples are squares 2014 Ajai Choudhry
 1
+ Roots of real matrices 1981 Eugene D. Denman
 1