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math.NT2005
Integral Congruences
Pierre-Yves Gaillard
To each i, j belonging to some set of integers, attach the integer a(i,j). Are there integers x(i) such that x(j)-x(i) is congruent to a(i,j) mod (i,j)? A necessary condition is th…
math.HO2005
The functional equation of the zeta function of a global field
Pierre-Yves Gaillard
We write down the functional equation of the zeta function of a global field. This equation is implicit in Weil's ``Basic Number Theory''.