Titlebook: Class Groups of Number Fields and Related Topics; Kalyan Chakraborty,Azizul Hoque,Prem Prakash Pande Book 2020 The Editor(s) (if applicabl

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GUILE

Thue Diophantine Equations, Allahabad (India), for the International Conference on Class Groups of Number Fields and Related Topics (ICCGNFRT-2017) based on notes by Kristyna Zemková. Some more information is added, including references, especially to joint works with Claude Levesque.

諂媚于性

Divisibility of Class Number of a Real Cubic or Quadratic Field and Its Fundamental Unit,bic field and its class number. We show that 3-divisibility of the class number is related to certain congruences satisfied by the fundamental unit. Then we prove certain congruences for the fundamental unit of a real quadratic field of odd class number which are stronger than the ones in [.] and in

hypnogram

On Class Number Divisibility of Number Fields and Points on Elliptic Curves,tient of the group of all fractional ideals of . by the subgroups of principal fractional ideals. It is well known from class field theory that the ideal class group is also the Galois group of the maximal unramified abelian extension of ..

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壕溝

,On Lebesgue–Ramanujan–Nagell Type Equations, the so-called Lebesgue–Ramanujan–Nagell type equation, .where . and . are fixed positive integers, and one is looking for its solutions in positive integers. This is a survey article aimed at reviewing results concerning solvability of this equation in positive integers .,?.,?. and . for ..

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優(yōu)雅

Summary, Conclusion and Recommendationstt 19:1–14, 2012) and Bilu and Gillibert (Israel J Math, in press) on the construction of large class groups of number fields by specialization of finite covers of curves. Then we give examples of applications of these techniques.