Listar por autor "JAVIER ARTURO DIAZ VARGAS"
Mostrando recursos 1-13 de 13
-
A description of a Drinfeld module with class number h = 1 and rank 1
VICTOR MANUEL BAUTISTA ANCONA; JAVIER ARTURO DIAZ VARGAS; JOSE ALEJANDRO LARA RODRIGUEZ; FRANCISCO XAVIER PORTILLO BOBADILLAWe 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 ... -
A description of a Drinfeld module with class number h=1 and rank 1
JAVIER ARTURO DIAZ VARGAS; JOSE ALEJANDRO LARA RODRIGUEZ; VICTOR MANUEL BAUTISTA ANCONA; FRANCISCO XAVIER PORTILLO BOBADILLAWe work out in detail the Drinfeld module over the ring. The example in question is one of the four examples that come from quadratic imaginary fields with class number 1=h and rank one. We develop specific formulas for ... -
A note on power sums over finite fields
JAVIER ARTURO DIAZ VARGAS -
Imaginary quadratic function fields with ideal class group of prime exponent
VICTOR MANUEL BAUTISTA ANCONA; JAVIER ARTURO DIAZ VARGAS; JOSE ALEJANDRO LARA RODRIGUEZFor 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
VICTOR MANUEL BAUTISTA ANCONA; JAVIER ARTURO DIAZ VARGAS; JOSE ALEJANDRO LARA RODRIGUEZFor 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
VICTOR MANUEL BAUTISTA ANCONA; JAVIER ARTURO DIAZ VARGASIn 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 ... -
Index of maximality and goss zeta function
JAVIER ARTURO DIAZ VARGAS -
On permutation polynomials over local finite commutative rings
JAVIER ARTURO DIAZ VARGAS; JOSE ANTONIO SOZAYA CHANIn 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
JAVIER ARTURO DIAZ VARGASIn 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
JAVIER ARTURO DIAZ VARGAS; CARLOS JACOB RUBIO BARRIOS; HORACIO TAPIA RECILLASNecessary 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
JAVIER ARTURO DIAZ VARGAS; CARLOS JACOB RUBIO BARRIOS; HORACIO TAPIA RECILLASNecessary 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 ... -
The Legendre equation in Euclidean imaginary quadratic number fields
JAVIER ARTURO DIAZ VARGAS -
TRUE SPECTRUM OF A FINITE FOURIER TRANSFORM
JAVIER ARTURO DIAZ VARGAS