Elliptic divisibility sequences were first studied byMorgan Ward, who proved that they admit every prime p as adivisor and gave the upper bound 2p + 1 for the smallest placeof apparition of p. He also proved that, except for a fewspecial primes, the sequences are numerically periodic modulo p.
This thesis contains a discussion of equanharmonic divisibilitysequences and mappings. These sequences are the special elliptic sequences which occur when the elliptic functions involveddegenerate into equianharmonic functions, and the divisibilitymappings are an extensioin of the notion of a sequence to a functionover a certain ring of quadratic integers
For equianharmonic divisibility sequences and mappings anarithmetical relation between any rational prime of the form 3k + 2and its rank of apparition is found.
It is also shown that, except for a few special prime ideals,equianharmonic divisibility mappings are numerically doubly periodicto prime ideal moduli.
