On the abc conjecture in algebraic number fields

Kálmán Győry

Type: Article

Publication Date: 2008-01-01

Citations: 20

DOI: https://doi.org/10.4064/aa133-3-6

On the abc conjecture in algebraic number fields by

Similar Works

Action	Title	Year	Authors
+	On Grimm's conjecture in algebraic number fields	1973	Neela Sukthankar
+	The abc–conjecture for Algebraic Numbers	2005	Jerzy Browkin
+	On Grimm's conjecture in algebraic number fields-III	1977	Neela Sukthankar
+	On classifications of algebraic number fields	1980	啓一小松
+	On the Class Numbers of Algebraic Number Fields	2015	O. M. Fomenko
+	On Algebraic Number Fields whose Class Numbers are Multiples of 3	1981	喜一郎太田
+	On Grimm's conjecture in algebraic number fields. II	1975	Neela Sukthankar
+	On the stufe of an algebraic number field	1972	F.W. Barnes
+	On the abc conjecture	2004	Yongdong Guo
+ PDF Chat	On some polynomials allegedly related to the abc conjecture	1998	Alexandr Borisov
+	On algebraic number fields with even class numbers.	1971	Mákoto Ishida
+	The abc-conjecture for Algebraic Numbers	2006	Jerzy Browkin
+	On an elliptic analogue of Zagier’s conjecture	1997	Jörg Wildeshaus
+	On the Class Field Theory on Algebraic Number Fields with Infinite Degree	1951	Yukiyosi Kawada
+	On number systems in algebraic number fields	1992	И. Катаи I. Környei
+	WITHDRAWN: The Beilinson Conjecture for Algebraic Number Fields	1988	Jürgen Neukirch
+	On class numbers in fields of algebraic functions	1970	Manohar L. Madan
+	On theabc conjecture	1991	C. L. Stewart Kunrui Yu
+ PDF Chat	On a conjecture about infinite class fields	1947	G. Whaples
+	ON THE CONJECTURE OF GOLOMB	1984	Feng Li

Action	Title	Year	Authors
+	Shimura curves and the abc conjecture	2023	Héctor Pastén
+	Bounds for the solutions of $S$-unit equations and decomposable form equations II	2019	Kálmán Győry
+	Lucas non-Wieferich primes in arithmetic progressions and the $abc$ conjecture	2021	K. Anitha I. Mumtaj Fathima A. Vijayalakshmi
+	A note on balancing non-Wieferich primes in arithmetic progression	2021	K. Anitha I. Mumtaj Fathima A. Vijayalakshmi
+ PDF Chat	Lucas non-Wieferich primes in arithmetic progressions and the <i>abc</i> conjecture	2023	K. Anitha I. Mumtaj Fathima A. Vijayalakshmi
+	On the abc$abc$ conjecture in algebraic number fields	2023	Andrew Scoones
+ PDF Chat	Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture	2014	Vincent Bosser Andrea Surroca
+ PDF Chat	Non-Wieferich primes in number fields and $abc$-conjecture	2018	Srinivas Kotyada Subramani Muthukrishnan
+	Unit Equations in Diophantine Number Theory	2015	Jan‐Hendrik Evertse Kálmán Győry
+ PDF Chat	Improved bounds for some $S$-unit equations	2024	Kálmán Győry Samuel Le Fourn

Action	Title	Year	Authors
+	Heights in Diophantine geometry	2006	Enrico Bombieri Walter Gubler
+	Exponential Diophantine Equations	1986	T. N. Shorey R. Tijdeman
+	Explicit Bounds for Residues of Dedekind Zeta Functions, Values of L-Functions at s=1, and Relative Class Numbers	2000	Stéphane Louboutin
+	Analytic formulas for the regulator of a number field	1989	Eduardo Friedman
+ PDF Chat	Some examples related to the $abc$-conjecture for algebraic number fields	1999	Niklas Broberg
+	On the number of solutions of linear equations in units of an algebraic number field	1979	Kálmán Győry
+ PDF Chat	Bounds for the solutions of S-unit equations and decomposable form equations	2006	Kálmán Győry Kunrui Yu
+	ABC implies no "Siegel zeros" for L -functions of characters with negative discriminant	2000	Andrew Granville H. Stärk
+	P-adic logarithmic forms and group varieties III	2007	Kunrui Yu
+ PDF Chat	Approximate Formulas for Some Functions of Prime Numbers	1963	D. S. J. Barkley Rosser Lowell Schoenfeld