The convergence of Euler products over p-adic number fields
2009 ◽
Vol 52
(3)
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pp. 583-606
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Keyword(s):
AbstractWe define a topological space over the p-adic numbers, in which Euler products and Dirichlet series converge. We then show how the classical Riemann zeta function has a (p-adic) Euler product structure at the negative integers. Finally, as a corollary of these results, we derive a new formula for the non-Archimedean Euler–Mascheroni constant.
2005 ◽
Vol 01
(03)
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pp. 401-429
Keyword(s):
1984 ◽
Vol 19
(1)
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pp. 85-102
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Keyword(s):
2018 ◽
Vol 14
(02)
◽
pp. 371-382
Keyword(s):
1967 ◽
Vol 15
(4)
◽
pp. 309-313
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Keyword(s):