Artin's conjecture on primes with prescribed primitive roots
H. W., Jr. Lenstra (1976-1977)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Similarity:
H. W., Jr. Lenstra (1976-1977)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Similarity:
Andrzej Rotkiewicz (2005)
Acta Mathematica Universitatis Ostraviensis
Similarity:
We use the properties of -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.
Rowland, Eric S. (2008)
Journal of Integer Sequences [electronic only]
Similarity:
Gupta, Ankit, Sury, S. (2005)
Integers
Similarity:
Yong-Gao Chen (2012)
Acta Arithmetica
Similarity:
Kenichi Arai, Hiroyuki Okazaki (2009)
Formalized Mathematics
Similarity:
In the [16] has been proven that the multiplicative group Z/pZ* is a cyclic group. Likewise, finite subgroup of the multiplicative group of a field is a cyclic group. However, finite subgroup of the multiplicative group of a field being a cyclic group has not yet been proven. Therefore, it is of importance to prove that finite subgroup of the multiplicative group of a field is a cyclic group.Meanwhile, in cryptographic system like RSA, in which security basis depends upon the difficulty...
Christoph Schwarzweller, Artur Korniłowicz (2015)
Formalized Mathematics
Similarity:
The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. Classification of prime fields in terms of isomorphisms with appropriate fields (ℚ or ℤ/p) are presented. To facilitate reasonings within the field of rational numbers, values of numerators and denominators of basic operations over rationals are computed.
E. Scourfield (1980)
Acta Arithmetica
Similarity:
Clifford Queen (1974)
Acta Arithmetica
Similarity:
Iannucci, Douglas E., Mintos, Alexia S. (2005)
Integers
Similarity: