Browsing by Author "XX583236"
Now showing items 1-7 of 7
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(American Mathematical Society, 2015)Assuming the Generalized Riemann Hypothesis, Bach has shown that one can calculate the residue of the Dedekind zeta function of a number field K by a clever use of the splitting of primes p < X, with an error asymptotically ...
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(DIRICHLET SERIES, 2008-01)The product ((Pi) over cap (m) a(m)) . ((Pi) over cap (m)b(m)) of two regularized products is not in general equal to the regularized product (Pi) over cap (m) (a(m) . b(m)) We consider the discrepancy F, defined by exp(F):= ...
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(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008-08)Given a number field K and a subgroup G ⊂ K ∗ of the multiplicative group of K, Silverman defined the G-height H(θ;G) of an algebraic number θ as H(θ;G) := inf g∈G, n∈N H g1/nθ , where H on the right is ...
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(INT PRESS BOSTON, 2015)zeta-regularized determinants are well-known to fail to be multiplicative, so that in general det(zeta)(AB) not equal det(zeta)(A) det(zeta)(B). Hence one is lead to study the n-fold multiplicative anomaly M-n(A(1),..., ...
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(Elsevier, 2016)Minimal discriminants of number fields are presently known for 22 signatures. For 20 of these we give the minimal regulator. Except in the totally complex case, in each signature we find that the field with the minimal ...
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(London Mathematical Society, 2014)We give a signed fundamental domain for the action on Rn+ of the totally positive units E+ of a totally real number field k of degree n. The domain {(Co, wo)}o is signed since the net number of its intersections with any ...
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(Annales de l'institut Fourier, 2020)We give a signed fundamental domain for the action on R(+)(r1 )x C*(r2) of the totally positive units E+ of a number field k of degree n = r(1 )+ 2r(2 )which we assume is not totally complex. Here r(1) and r(2) denote the ...
