Zhang, On the mean values of Dedekind
sums, Journal de Theorie des Nombres, 8(1996), 429-442.
241] provided a magnificent review of the field which outlined the seminal contributions of men like Newton, Maclaurin, Jacobi, Meyer, Liouville, Dirichlet, Dedekind
, Riemann, Poincare, Cartan, Roche, Darwin, and Jeans.
of Wisconsin- Madison) also includes coverage of rarer subjects in this field, including transcendental field extensions, modules over Dedekind
domains and artinian rings.
2[pi]i[tau]] and [eta] denotes the Dedekind
74) For this language of cutting explicitly brings to mind that used by Dedekind
when finally providing a rigorous formulation for the differential calculus.
58secs, leaving South African Bredon Dedekind
and Australian favourite Michael Klim in his wake.
Among specific topics are the structure of Hopf algebras, the growth of finitely generated solvable groups, uni-modular groups over number fields, isometries of inner product spaces, and symmetric inner product spaces over a Dedekind
Vassiliev invariants and a strange identity related to the Dedekind
He then moves to algebraic number theory with Noetherian domains, Dedekind
domains and algebraic number fields, closing with a section on interconnections that examines rings of arithmetic functions, and analogies of the Goldbach problem.
He proposed a similar account of order type; and Dedekind
has a related account of natural number.
This text was not obscure at the time: Kaspar Scheidt adapted and expanded Dedekind
's very popular Latin text in a High German vernacular edition in 1551; in the meantime, Dedekind
revised his own book, producing a second (1552) and a third edition (1554), the latter retitled Grobianus et Grobiana and adding advice to women.
summation over (a=1)] ((a/q)) ((ah/q)) is the Dedekind
sum and [phi](k) is the Enter's function.