Listar por autor "JAVIER ARTURO DIAZ VARGAS"
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A description of a Drinfeld module with class number h = 1 and rank 1
We work out in detail the Drinfeld module over the ring A = F2 [x, y] / (y2 + y = x3 + x + 1). The example in question is one of the four examples that come from quadratic imaginary fields with class number h = 1 and rank ... -
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Imaginary quadratic function fields with ideal class group of prime exponent
For K, an imaginary quadratic extension of a rational function field over a finite field, in which the infinite place ramifies, we give necessary conditions (illustrating for exponent three) for the ideal class group to ... -
Imaginary quadratic function fields with ideal class group of prime exponent
For K, an imaginary quadratic extension of a rational function field over a finite field, in which the infinite place ramifies, we give necessary conditions (illustrating for exponent three) for the ideal class group to ... -
Index of maximality and goss zeta function
In this article, we define the index of maximality m(y) of a positive integer y, associated with the vanishing of certain power sums over Fq[T], related to the set Vm(y) of "valid" decompositions of y=X1+...+Xm of ... -
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On permutation polynomials over local finite commutative rings
In this paper, we give criteria for a polynomial to be a permutation polynomial of a local finite commutative ring with identity. These criteria generalize known results established for finite fields. On the other hand, ... -
Riemann hypothesis for the Goss t-adic zeta function
In this short note, we give a proof of the Riemann hypothesis for the Goss v-adic zeta function ζv(s), when v is a prime of Fq[t] of degree one. -
Self-Invertible Cubic (Quartic) Permutation Polynomials over Z_p^n with p greater than 7 (p greater than 17) a Prime and Gr öbner Bases
Necessary and sufficient conditions for cubic (quartic) permutation polynomials to be self-invertible over the ring Zpn where p >7 (p >17) is a prime number are given, and completely determined. The characterization of ... -
Self-invertible cubic (quartic) permutation polynomials over z_p^n with p greater than 7 (p greater than 17) a prime and Gröbner bases
Necessary and sufficient conditions for cubic (quartic) permutation polynomials to be self-invertible over the ring Zpn where p >7 (p >17) is a prime number are given, and completely determined. The characterization of ... -
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