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p-AdicL-Functions and Sums of Powers

✍ Scribed by Lawrence C. Washington

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
379 KB
Volume
69
Category
Article
ISSN
0022-314X

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✦ Synopsis

We give an explicit p-adic expansion of np j=1, ( j, p)=1 j &r as a power series in n. The coefficients are values of p-adic L-functions. 1998 Academic Press Several authors (see [2, pp. 95 103]) have studied the sums : np j=1 ( j, p)=1 k=1 \ &r k + L p (r+k, | 1&k&r )( pn) k

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