To send content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about sending content to .
To send content items to your Kindle, first ensure email@example.com
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about sending to your Kindle.
Note you can select to send to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
be a residually finite Dedekind domain and let
be a nonzero ideal of
. We consider counting problems for the ideal chains in
. By using the Cauchy–Frobenius–Burnside lemma, we also obtain some further extensions of Menon’s identity.
be a positive integer. We obtain new Menon’s identities by using the actions of some subgroups of
on the set
. In particular, let
be an odd prime and let
be a positive integer. If
is a subgroup of
Let m be an odd positive integer greater than 2 and f the smallest positive integer such that 2f ≡ 1 (mod m). It is proved that every algebraic integer in the cyclotomic field ℚ(ζm) can be expressed as a sum of three integral squares if and only if f is even.
Email your librarian or administrator to recommend adding this to your organisation's collection.