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

环形

,Distribution of Residues Modulo , Using the Dirichlet’s Class Number Formula,Let . be an odd prime number. In this article, we study the number of quadratic residues and non-residues modulo . which are multiples of 2 or 3 or 4 and lying in the interval ., by applying the Dirichlet’s class number formula for the imaginary quadratic field ..

模范

adjacent

A Pair of Quadratic Fields with Class Number Divisible by 3,Let . be an odd prime and . an integer. In this paper, we prove that the class numbers of . and . are divisible by 3. Using Siegel’s theorem, we show that there are infinitely many such pairs of quadratic fields with class number divisible by 3.

DAUNT

On the Continued Fraction Expansions of , and , for Primes ,The oddness of the length of the period of the continued fraction expansion of the square root of an odd prime integer equal to 3 modulo 4 is well known. We determine its value modulo 4. We also give a similar result for the square root of twice an odd prime integer equal to 3 modulo 4.

平淡而无味

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.

alabaster

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

混杂人

一致性

Hygiene in der Repatriierungsmedizin,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 ..

CODA

https://doi.org/10.1007/978-3-658-39267-3umber of interesting results. This survey aims at reviewing results concerning the Diophantine systems for finding the cyclotomic numbers and coefficients of Jacobi sums and to indicate the current status of the problem.

圣人