منابع مشابه
On the Artin-hasse Exponential Series
1. Professor G. Whaples has kindly drawn my attention to the very similar properties enjoyed by the series which I called the Witt hyperexponential in a recent paper [2], and a series which he had previously defined, using the Artin-Hasse exponential series [5]; the main fact is that both series define a homomorphism of the Witt group W onto the multiplicative group W*. In answer to his questio...
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Let E be an elliptic curve over Q and let be an odd, irreducible twodimensional Artin representation. This article proves the Birch and Swinnerton-Dyer conjecture in analytic rank zero for the Hasse-WeilArtin L-series L(E, , s), namely, the implication L(E, , 1) = 0 ⇒ (E(H)⊗ ) = 0, where H is the finite extension of Q cut out by . The proof relies on padic families of global Galois cohomology c...
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In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains the bivariate generalized exponential-Poisson, bivariate generalized exponential-logarithmic, bivariate generalized exponential-binomial and bivariate generalized exponential-negative binomial distributions as specia...
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A relation between the zeros of the partial sums and the zeros of the corresponding tails of the Maclaurin series for e is established. This allows an asymptotic estimation of a quantity which came up in the theory of the Riemann zeta-function. Some new properties of the tails of e are also provided.
متن کاملOn the history of Artin’s L-functions and conductors Seven letters from Artin to Hasse in the year 1930
In the year 1923 Emil Artin introduced his new L-functions belonging to Galois characters. But his theory was still incomplete in two respects. First, the theory depended on the validity of the General Reciprocity Law which Artin was unable at that time to prove in full generality. Secondly, in the explicit definition of L-functions the ramified primes could not be taken into account; hence tha...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1957
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1957-0087034-9