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[PDF] Top 20 On the determination of number fields by L-functions

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On the determination of number fields by L-functions

On the determination of number fields by L-functions

... Galois number field is determined by any Artin L-function corresponding to a character of the Galois group which contains all irreducible ...with the Galois group G, χ 1 , ... Voir le document complet

4

The size function $h^0$ for quadratic number fields

The size function $h^0$ for quadratic number fields

... in the ring of integers OF. For h E Z, we define the set which is either empty or ...case, the group at of units with positive norm acts on S(h) by multiplication and ... Voir le document complet

12

PAC fields over number fields

PAC fields over number fields

... K. By [1, ...A. By [1, Lemma ...H, the specialization t → a extends to an N -place ϕ of F N with residue field N 0 which a Galois extension of N having Galois group ...then the ... Voir le document complet

8

On the number of places of convergence for Newton’s method over number fields

On the number of places of convergence for Newton’s method over number fields

... the previous paragraph can be run in reverse to see that E α (t) = (d − 1) × (t − α) d−2 , and so we are finished by the second part of the main ...theorem. The final conclusion ... Voir le document complet

16

Counting discriminants of number fields

Counting discriminants of number fields

... and the quantities R(G, X) (which denote any one of R n (G, X) or R r 1 ,r 2 (G, X)) are error ...estimates of the form R(G, X) = O (X e α ) for some exponent α, where we use the ... Voir le document complet

22

(Non)Automaticity of number theoretic functions

(Non)Automaticity of number theoretic functions

... radius of convergence 1, so that by Carlson’s theorem, such a series is transcendental over ...that by the Prime Number Theorem, p(n) ∼ n log n = O(n 2 ), we have the following ... Voir le document complet

15

Chebyshev's method for number fields

Chebyshev's method for number fields

... consists of taking generalization of the factorial, where I runs through the non-zero ideals of the number field, NI is the norm of I and X is a ...prime ... Voir le document complet

6

Net pay determination by Dempster rule of combination: Case study on Iranian offshore oil fields

Net pay determination by Dempster rule of combination: Case study on Iranian offshore oil fields

... Rule of Combination (equation 8 or 9) is used in order to fuse the predefined Mass Functions (10, 11 and 12), which we call it Mass Function of net pay (whole the system) or output ... Voir le document complet

17

The Hooley-Huxley contour method for problems in number fields III : frobenian functions

The Hooley-Huxley contour method for problems in number fields III : frobenian functions

... p. By a simple counting argument this is m~(m2 - 1) as ...application of Theorem 1, when K is not necessarily Q, is to the range of ...denote by A(L, f ), or just .,4, the narrow ... Voir le document complet

13

One-class genera of exceptional groups over number fields

One-class genera of exceptional groups over number fields

... . By Lemma ...satisfy the previous inequality. We only find the possibility k = Q and ` = k[x]/(f (x)) where f (x) is one of the ten polyno- mials given ... Voir le document complet

12

Hilbert-Speiser number fields and Stickelberger ideals

Hilbert-Speiser number fields and Stickelberger ideals

... over the integers relatively prime to p with 1 ≤ i ≤ p n − 1 and ¯i ∈ ...is of relative degree one over F , we have P k bO K 0 ...extension of degree p n . Further, by the assumption on ... Voir le document complet

20

On the Carlitz problem on the number of solutions to some special equations over finite fields

On the Carlitz problem on the number of solutions to some special equations over finite fields

... structure of the set of solutions and calculated the ...generator of the cyclic group F ∗ q . Notice that by multiply- ing ...(1.1) by properly chosen element ... Voir le document complet

21

Computation of 2-groups of positive classes of exceptional number fields

Computation of 2-groups of positive classes of exceptional number fields

... erates the Z 2 -module deg(D` F ) = 4[F ∩ Q c : Q]Z 2 . We close this section by presenting a method for exhibiting such a divisor: Let q 1 , ...set of non- dyadic primes which generates the ... Voir le document complet

19

Prime factors of class number of cyclotomic fields

Prime factors of class number of cyclotomic fields

... means the `-rank of the `-Sylow subgroup of Cl Q(ζ − p ) ...for the Question by finding a con- crete pair (p, `) of primes p and ` with p 6= ... Voir le document complet

7

Arithmetic of values of L-functions and generalized multiple zeta values over number fields

Arithmetic of values of L-functions and generalized multiple zeta values over number fields

... with the classical problem, studied by Gangl-Kaneko-Zagier and ...Recall the work of Gangl-Kaneko-Zagier and Goncharov’s ...that the field F is an imaginary quadratic ...with the ... Voir le document complet

113

A Comparison of the Transfer Functions and Flow Fields of Flames With Increasing Swirl Number

A Comparison of the Transfer Functions and Flow Fields of Flames With Increasing Swirl Number

... analysis of the flame responses to acoustic forcing reveals that, when the FTF gain is at a max- imum, the flame is strongly modulated by the interaction with the large ... Voir le document complet

13

Asymptotic properties of Dedekind zeta functions in families of number fields

Asymptotic properties of Dedekind zeta functions in families of number fields

... set of points having a limit point in D. Then the sequence f n (s) tends to a holomorphic function in D uniformly on any closed disk contained in ...that the convergence of log ζ K i (s)/g K i ... Voir le document complet

9

Decomposition of primes in number fields defined by trinomials

Decomposition of primes in number fields defined by trinomials

... prime number. The lower convex envelope r of the set of points n}(ao = 1) in the euclidean 2-space determines the so-called "Newton’s polygon of F(X) with ... Voir le document complet

16

On $2$-class field towers of imaginary quadratic number fields

On $2$-class field towers of imaginary quadratic number fields

... settled by Kisilevsky [8] (see also (10)). The case m > 1 has been studied by Benjamin and Snyder [1]: they have shown that metacyclic groups G with (2, 2m) occur as G = Gal(k2/k) if and ... Voir le document complet

13

Lyapounov Functions of closed Cone Fields: from Conley Theory to Time Functions

Lyapounov Functions of closed Cone Fields: from Conley Theory to Time Functions

... On the other hand the causality theory of space times studies (among other things) time functions on Lorentzian manifold, see [ 22 ] for ...example. The existence of continuous ... Voir le document complet

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