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better to reserve the label “totally real” for a ring R where the residue class fields k ( p ) of all prime ideals p of R are formally real... Schwartz and Madden call our
We then describe the local contribution from p in the motivic “explicit formulas” of analytic number theory in terms of.. a suitable
Nevertheless, as he also mentions right before the above remark (s. cit.), some aspects of the theory over these fields are more interesting and richer, because of the interplay
Let (E, v) be a Henselian discrete valued field with local class field theory, M/E a finite Galois extension with a nilpotent Galois group, and R an intermediate field of M/E..
Now we observe that the same arguments can be used also for an arbitrary real closed field K because there exists a pure algebraic definition of the Grothendieck residue symbol
We describe the complete polynomial vector fields and their fixed points in a finite-dimensional simplex and we apply the results to differential equations of genetical
We derive here the field and the constitutive equations, as well as the boundary conditions, related to the behavior of incremental fields superposed on large static initial
One is due to the concavity of the debt payoff function in the face value of the debt, while the other arises from imperfect covariation in ultimate firm values.. For the latter
