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For example, modular invariance for vertex operator superalgebras requires inclusion of supercharacters of (untwisted) modules, and more importantly, the characters of σ
We then con- sider CM abelian extensions of totally real fields and by combining our earlier considerations with the known validity of the Main Con- jecture of Iwasawa theory we
Given the importance of binomial coefficients and combinatorial sums in many areas of mathematics, it is not surprising that divisibility properties and congruences of these
Hecke (for a recent exposition see [N, Ch. Tate [T] and, for unramified characters without local theory, K. Iwasawa [I1–I2] lifted the zeta function to a zeta integral defined on
p -adic local Langlands functoriality principle relating Galois representations of a p -adic field L and admissible unitary Banach space representations of G ( L ) when G is a
However, our congruence is more versatile, and we exploit it in the final section together with The- orem 1.1 to prove the congruences involving Bernoulli numbers stated in
We compute the moments of L -functions of symmet- ric powers of modular forms at the edge of the critical strip, twisted by the central value of the L -functions of modular forms..
Using known estimates for linear forms in p-adic logarithms, we prove that a previous result, con- cerning the particular case of quadratic numbers, is close to be the best
