Sudesh K. Khanduja

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All published works

Action	Title	Year	Authors
+ PDF Chat	An extension of Schur's irreducibility result	2024	Ankita Jindal Sudesh K. Khanduja
+	Discriminant and integral basis of number fields defined by exponential Taylor polynomials	2024	Ankita Jindal Sudesh K. Khanduja
+	Corrigendum to “The discriminant of compositum of algebraic number fields”	2024	Sudesh K. Khanduja
+	History and development of algebraic number theory	2023	Sudesh K. Khanduja
+	An extension of Schur's irreducibility result	2023	Ankita Jindal Sudesh K. Khanduja
+ PDF Chat	Discriminant and integral basis of sextic fields defined by x6+ax+b	2022	Sumandeep Kaur Sudesh K. Khanduja
+	Discriminant and integral basis of quintic fields defined by x5 + ax + b	2022	Anuj Jakhar Sumandeep Kaur Sudesh K. Khanduja
+	Algebraic Integers, Norm and Trace	2022	Sudesh K. Khanduja
+	Dirichlet’s Unit Theorem	2022	Sudesh K. Khanduja
+	Dirichlet’s Class Number Formula and its Applications	2022	Sudesh K. Khanduja
+	Splitting of Rational Primes and Dedekind’s Theorem	2022	Sudesh K. Khanduja
+	Relative Discriminant and Dedekind’s Theorem on Ramified Primes	2022	Sudesh K. Khanduja
+	Simplified Class Number Formula for Cyclotomic, Quadratic Fields	2022	Sudesh K. Khanduja
+	Prime Ideal Decomposition in Relative Extensions	2022	Sudesh K. Khanduja
+	Properties of the Ring of Algebraic Integers	2022	Sudesh K. Khanduja
+	Class Group and Class Number	2022	Sudesh K. Khanduja
+	A Textbook of Algebraic Number Theory	2022	Sudesh K. Khanduja
+ PDF Chat	On the discriminant of pure number fields	2021	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+ PDF Chat	ON INTEGRAL BASIS OF PURE NUMBER FIELDS	2020	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	On integral basis of pure number fields.	2020	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	On the discriminant of pure number fields	2020	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	Corrigendum to “On prolongations of valuations to the composite field” [J. Pure Appl. Algebra 224 (2020) 551–558]	2020	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	A note on Dedekind Criterion	2020	Anuj Jakhar Sudesh K. Khanduja
+	Discriminant and Integral basis of sextic fields defined by x^6+ax+b	2020	Sumandeep Kaur Sudesh K. Khanduja
+	On integral basis of pure number fields	2020	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	On the discriminant of pure number fields	2020	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	On the index of an algebraic integer and beyond	2019	Anuj Jakhar Sudesh K. Khanduja
+	On prolongations of valuations to the composite field	2019	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	Some results on integrally closed domains	2019	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	The discriminant of compositum of algebraic number fields	2018	Sudesh K. Khanduja
+	On factorization of polynomials in henselian valued fields	2018	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	On the compositum of integral closures of valuation rings	2018	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	Characterization of primes dividing the index of a trinomial	2017	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	On integrally closed simple extensions of valuation rings	2017	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	A Generalization of the Eisenstein–Dumas–Schönemann Irreducibility Criterion	2017	Bablesh Jhorar Sudesh K. Khanduja
+	Discriminants of pure square-free degree number fields	2017	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	Discriminant as a product of local discriminants	2016	Anuj Jakhar Bablesh Jhorar Sudesh K. Khanduja Neeraj Sangwan
+	On the index theorem of Ore	2016	Bablesh Jhorar Sudesh K. Khanduja
+	On prime divisors of the index of an algebraic integer	2016	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan
+	Reformulation of Hensel’s Lemma and extension of a theorem of Ore	2016	Bablesh Jhorar Sudesh K. Khanduja
+	On power basis of a class of algebraic number fields	2016	Bablesh Jhorar Sudesh K. Khanduja
+	When is R[θ] integrally closed?	2015	Sudesh K. Khanduja Bablesh Jhorar
+	A study of irreducible polynomials over henselian valued fields via distinguished pairs	2014	Kamal Aghigh Anuj Bishnoi Sudesh K. Khanduja Sanjeev Kumar
+	A study of irreducible polynomials over henselian valued fields via distinguished pairs	2014	Kamal Aghigh Anuj Bishnoi Sudesh K. Khanduja Sanjeev Kumar
+	A generalization of a theorem of Ore	2013	Sudesh K. Khanduja Sanjeev Kumar
+	On Generalized Schönemann Polynomials	2013	Anuj Bishnoi Sudesh K. Khanduja
+	A Class of Trinomials with Galois Group S<sub>n</sub>	2012	Anuj Bishnoi Sudesh K. Khanduja
+	ON LIFTINGS OF POWERS OF IRREDUCIBLE POLYNOMIALS	2012	Anuj Bishnoi Sanjeev Kumar Sudesh K. Khanduja
+	On prolongations of valuations via Newton polygons and liftings of polynomials	2012	Sudesh K. Khanduja Sanjeev Kumar
+ PDF Chat	ON IRREDUCIBLE FACTORS OF POLYNOMIALS OVER COMPLETE FIELDS	2012	Sudesh K. Khanduja Sanjeev Kumar
+ PDF Chat	On Algebraically Maximal Valued Fields and Defectless Extensions	2011	Anuj Bishnoi Sudesh K. Khanduja
+	On Invariants and Strict Systems of Irreducible Polynomials Over Henselian Valued Fields	2011	Sudesh K. Khanduja Ramneek Khassa
+	Some irreducibility results for truncated binomial expansions	2010	Sudesh K. Khanduja Ramneek Khassa Shanta Laishram
+	A generalization of Eisenstein–Schönemann irreducibility criterion	2010	Sudesh K. Khanduja Ramneek Khassa
+ PDF Chat	On Eisenstein–Dumas and Generalized Schönemann Polynomials	2010	Anuj Bishnoi Sudesh K. Khanduja
+	ON IRREDUCIBLE FACTORS OF THE POLYNOMIAL f(x) - g(y)	2010	Antonio José Engler Sudesh K. Khanduja
+	On Brown’s constant associated with irreducible polynomials over henselian valued fields	2010	Sudesh K. Khanduja
+	On Dedekind Criterion and Simple Extensions of Valuation Rings	2010	Sudesh K. Khanduja Munish Kumar
+	An extension of a result of Zaharescu on irreducible polynomials	2010	Sudesh K. Khanduja Ramneek Khassa
+	Some Extensions and Applications of the Eisenstein Irreducibility Criterion	2010	Anuj Bishnoi Sudesh K. Khanduja
+ PDF Chat	Subfields of henselian valued fields	2010	Ramneek Khassa Sudesh K. Khanduja
+	Prolongations of valuations to finite extensions	2009	Sudesh K. Khanduja Munish Kumar
+	ON A THEOREM OF DEDEKIND	2008	Sudesh K. Khanduja Munish Kumar
+ PDF Chat	On Construction of Saturated Distinguished Chains	2007	Amrit Pal Singh Sudesh K. Khanduja
+	A Generalization of Dedekind Criterion	2007	Munish Kumar Sudesh K. Khanduja
+	On<i>p</i>th Roots in Henselian Valued Fields	2007	Saurabh Bhatia Sudesh K. Khanduja
+	A formula for Tignol's constant	2006	Munish Kumar Sudesh K. Khanduja
+	On Chains Associated with Elements Algebraic over a Henselian Valued Field	2005	Kamal Aghigh Sudesh K. Khanduja
+	On Limits of Sequences of Algebraic Elements over a Complete Field	2005	Saurabh Bhatia Sudesh K. Khanduja
+	On a theorem of Tignol for defectless extensions and its converse	2005	Amrit Pal Singh Sudesh K. Khanduja
+	ON FINITE TAME EXTENSIONS OF VALUED FIELDS	2005	Amrit Pal Singh Sudesh K. Khanduja
+	An Extension of the Irreducibility Criteria of Ehrenfeucht and Tverberg	2004	Amrit Pal Singh Sudesh K. Khanduja
+	A note on tame fields	2003	Kamal Aghigh Sudesh K. Khanduja
+	The minimum property of Krasner’s constant	2002	Sudesh K. Khanduja
+	A CHARACTERIZATION OF KRASNER'S CONSTANT	2002	Saurabh Bhatia Sudesh K. Khanduja
+	On minimal pairs and residually transcendental extensions of valuations	2002	Sudesh K. Khanduja Nicolae Popescu Klaus W. Roggenkamp
+	On extensions generated by roots of lifting polynomials	2002	Saurabh Bhatia Sudesh K. Khanduja
+ PDF Chat	ON THE MAIN INVARIANT OF ELEMENTS ALGEBRAIC OVER A HENSELIAN VALUED FIELD	2002	Kamal Aghigh Sudesh K. Khanduja
+	Difference polynomials and their generalizations	2001	Saurabh Bhatia Sudesh K. Khanduja
+ PDF Chat	A Characterization of Finite Tame Extensions	2000	Sudesh K. Khanduja
+ PDF Chat	Generalized Hensel's lemma	1999	Sudesh K. Khanduja Jayanti Saha
+	On a query of Adrian Wadsworth	1999	Sudesh K. Khanduja Usha Garg
+	A generalized fundamental principle	1999	Sudesh K. Khanduja Jayanti Saha
+	On Krasner's Constant	1999	Sudesh K. Khanduja
+	The prime and maximal ideals in R[X], R: a one-dimensional Prufer domain	1998	Sudesh K. Khanduja Jayanthi Saha
+	Tame Fields and Tame Extensions	1998	Sudesh K. Khanduja
+	On a generalization of Eisenstein's irreducibility criterion	1997	Sudesh K. Khanduja Jayanti Saha
+	A Uniqueness Problem in Valued function Fields of Conics	1996	Sudesh K. Khanduja Jayanti Saha
+ PDF Chat	On residually transcendental valued function fields of conics	1996	Sudesh K. Khanduja
+ PDF Chat	A note on residually transcendental prolongations with uniqueness property	1996	Sudesh K. Khanduja
+	On a Result of James Ax	1995	Sudesh K. Khanduja
+ PDF Chat	On value groups and residue fields of some valued function fields	1994	Sudesh K. Khanduja
+ PDF Chat	A uniqueness problem in simple transcendental extensions of valued fields	1994	Sudesh K. Khanduja
+ PDF Chat	Residue fields of valued function fields of conics	1993	Sudesh K. Khanduja Usha Garg
+ PDF Chat	On valuations of <i>K</i>(<i>x</i>)	1992	Sudesh K. Khanduja
+	Value groups and simple transcendental extensions	1991	Sudesh K. Khanduja
+	Prolongations of valuations to simple transcendental extensions with given residue field and value group	1991	Sudesh K. Khanduja
+	A note on a result of J. Ax	1991	Sudesh K. Khanduja
+	Rank 2 valuations of <i>K(x)</i>	1990	Sudesh K. Khanduja Usha Garg
+ PDF Chat	On rank of extensions of valuations	1990	Sudesh K. Khanduja Usha Garg
+ PDF Chat	On extensions of valuations to simple transcendental extensions	1989	Sudesh K. Khanduja Usha Garg

Common Coauthors

Coauthor	Papers Together
Anuj Jakhar	19
Neeraj Sangwan	16
Anuj Bishnoi	8
Bablesh Jhorar	6
Usha Garg	5
Kamal Aghigh	5
Munish Kumar	5
Saurabh Bhatia	5
Ramneek Khassa	5
Sanjeev Kumar	4
Amrit Pal Singh	4
Jayanti Saha	4
Ankita Jindal	3
Sumandeep Kaur	3
Nicolae Popescu	1
Shanta Laishram	1
Sanjeev Kumar	1
Sanjeev Kumar	1
Klaus W. Roggenkamp	1
Antonio José Engler	1
Jayanthi Saha	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Structure of the Irreducible Polynomials Over Local Fields	1995	Nicolae Popescu Alexandru Zaharescu	15
+	Elementary and Analytic Theory of Algebraic Numbers	2004	Władysław Narkiewicz	13
+	On a generalization of Eisenstein's irreducibility criterion	1997	Sudesh K. Khanduja Jayanti Saha	12
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	12
+	The Theory of Classical Valuations	1999	Paulo Ribenboim	12
+ PDF Chat	On valuations of <i>K</i>(<i>x</i>)	1992	Sudesh K. Khanduja	11
+	Newtonsche Polygone in der Theorie der algebraischen K�rper	1928	�ystein Ore	11
+ PDF Chat	Elementary and Analytic Theory of Algebraic Numbers	1991	Peter Shiu Władysław Narkiewicz	10
+ PDF Chat	ON THE MAIN INVARIANT OF ELEMENTS ALGEBRAIC OVER A HENSELIAN VALUED FIELD	2002	Kamal Aghigh Sudesh K. Khanduja	10
+	On prolongations of valuations via Newton polygons and liftings of polynomials	2012	Sudesh K. Khanduja Sanjeev Kumar	10
+ PDF Chat	The ruled residue theorem for simple transcendental extensions of valued fields	1983	Jack Ohm	9
+	A generalized fundamental principle	1999	Sudesh K. Khanduja Jayanti Saha	9
+	On Chains Associated with Elements Algebraic over a Henselian Valued Field	2005	Kamal Aghigh Sudesh K. Khanduja	8
+	A Generalization of Dedekind Criterion	2007	Munish Kumar Sudesh K. Khanduja	8
+	Zeros of polynomials over local fields—The Galois action	1970	James Ax	8
+	Algebraic Number Theory	1999	Jürgen Neukirch	8
+ PDF Chat	Simple transcendental extensions of valued fields II: A fundamental inequality	1985	Jack Ohm	7
+	A generalization of a theorem of Ore	2013	Sudesh K. Khanduja Sanjeev Kumar	7
+	On a theorem of Ore	1992	Jesús Sanz Montes Enric Nart	7
+ PDF Chat	Simple transcendental extensions of valued fields	1982	Jack Ohm	7
+	Factorization over local fields and the irreducibility of generalized difference polynomials	2000	Stephen D. Cohen A. Movahhedi Alain Salinier	7
+	On Dedekind Criterion and Simple Extensions of Valuation Rings	2010	Sudesh K. Khanduja Munish Kumar	7
+	Prolongations of valuations to finite extensions	2009	Sudesh K. Khanduja Munish Kumar	7
+	A dedekind criterion for arbitrary valuation rings	2006	Yu. L. Ershov	6
+	A generalization of Eisenstein–Schönemann irreducibility criterion	2010	Sudesh K. Khanduja Ramneek Khassa	6
+	ON A THEOREM OF DEDEKIND	2008	Sudesh K. Khanduja Munish Kumar	6
+ PDF Chat	A Theorem on Valuation Rings and its Applications	1967	Masayoshi Nagata	5
+	When is Z[α] the ring of the integers?	1977	Kôji Uchida	5
+	On integral bases of pure quartic fields	1984	Takeo Funakura	5
+	1001 problems in classical number theory	2008	Jean-Marie De Koninck Armel Mercier	5
+	On minimal pairs and residually transcendental extensions of valuations	2002	Sudesh K. Khanduja Nicolae Popescu Klaus W. Roggenkamp	5
+ PDF Chat	A construction for absolute values in polynomial rings	1936	Saunders MacLane	5
+ PDF Chat	Simple transcendental extensions of valued fields III : The uniqueness property	1990	Michel Matignon Jack Ohm	4
+	Problems in Algebraic Number Theory	1999	Jody Esmonde M. Ram Murty	4
+	Problems in Algebraic Number Theory	2005	M. Ram Murty Jody Esmonde	4
+	Algebraic Numbers and Algebraic Functions	1967	Emil Artin	4
+ PDF Chat	A structure theorem for simple transcendental extensions of valued fields	1988	Michel Matignon Jack Ohm	4
+	A note on a result of J. Ax	1991	Sudesh K. Khanduja	4
+	Commutative Algebra	1960	Oscar Zariski Samuel Pierre	4
+	On Krasner's Constant	1999	Sudesh K. Khanduja	4
+ PDF Chat	On the fundamental number of the algebraic number-field 𝑘(\root𝑝\of𝑚)	1910	Jacob Westlund	4
+ PDF Chat	On Eisenstein–Dumas and Generalized Schönemann Polynomials	2010	Anuj Bishnoi Sudesh K. Khanduja	4
+	On the compositum of integral closures of valuation rings	2018	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan	4
+ PDF Chat	Discriminants of number fields defined by trinomials	1984	Pascual Llorente Enric Nart Núria Vila	4
+ PDF Chat	ON INTEGRAL BASIS OF PURE NUMBER FIELDS	2020	Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan	4
+	On Saturated Distinguished Chains over a Local Field	1999	Kaori Ota	4
+	Classification of wild cyclic field extensions and division algebras of prime degree over a Henselian field	1992	Jean-Pierre Tignol	4
+ PDF Chat	𝑝-integral bases of a cubic field	1998	Şaban Alaca	4
+ PDF Chat	Decomposition of primes in number fields defined by trinomials	1991	Pascual Llorente Enric Nart Núria Vila	4
+	Difference polynomials and their generalizations	2001	Saurabh Bhatia Sudesh K. Khanduja	3