Abstract: Our purpose in this chapter is to investigate divisibility properties of the values of L-functions attached to quadratic characters at integers, for example, class numbers and the orders of K 2-groups of the integers of quadratic fields. Making use of 2-adic L-functions we extend the linear congruence relations considered in the previous chapters. Extensions of this type have been considered in [Gras, 1989], [Uehara, 1990], [Urbanowicz and Wojcik, 1995/1996] and [Wojcik, 1998]. This chapter will focus on the results given in the latter three pa...
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Topics: 
Pure mathematics
Arithmetic