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7,796
Prime numbers
, 2012
"... In my talk I will pose several questions about prime numbers. We will see that on the one hand some of them allow an answer with a proof of just a few lines, on the other hand, some of them lead to deep questions and conjectures not yet understood. This seems to represent a general pattern in mathe ..."
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In my talk I will pose several questions about prime numbers. We will see that on the one hand some of them allow an answer with a proof of just a few lines, on the other hand, some of them lead to deep questions and conjectures not yet understood. This seems to represent a general pattern
Prime Numbers
, 2008
"... The SBox is a major step of the Advanced Encryption Standard (AES). In the current AES, the step uses a table lookup based on the Galois Field GF(2n) to map the plaintext to the ciphertext with confusion. This paper proposes an AES SBox implementation that is based on modified lookup table. The pr ..."
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. The proposed platform for implementing the SBox builds upon the hypothesis that the set of residues of any prime number forms a mathematical field. Two sparse lookup tables with irregularly distributed entries are used to add more confusion to the process. The inverse of any entry in either of the tables
Equations for All the Primes Numbers
"... Abstract with this work the equation is defined for the primes numbers; this one work is based on additive theory number and arithmetical progressiones. ..."
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Cited by 1 (1 self)
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Abstract with this work the equation is defined for the primes numbers; this one work is based on additive theory number and arithmetical progressiones.
On the Gap Distribution of Prime Numbers
, 1994
"... A “theoretical” distribution of prime number gaps is proposed and compared with the actual distribution. Some probabilistic discussions are given. ..."
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A “theoretical” distribution of prime number gaps is proposed and compared with the actual distribution. Some probabilistic discussions are given.
STRUCTURE AND RANDOMNESS IN THE PRIME NUMBERS
"... Abstract. A quick tour through some topics in analytic prime number theory. 1. ..."
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Abstract. A quick tour through some topics in analytic prime number theory. 1.
The Prime Number Theorem . . .
"... In this article, we survey and announce a recent unconditional proof of the prime number theorem for RankinSelberg Lfunctions attached to automorphic cuspidal representations of GLn over Q. Applications of this prime number theorem to Selberg’s orthogonality conjecture and factorization of automor ..."
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Cited by 7 (0 self)
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In this article, we survey and announce a recent unconditional proof of the prime number theorem for RankinSelberg Lfunctions attached to automorphic cuspidal representations of GLn over Q. Applications of this prime number theorem to Selberg’s orthogonality conjecture and factorization
Prime numbers and Lfunctions
"... Abstract. The classical memoir by Riemann on the zeta function was motivated by questions about the distribution of prime numbers. But there are important problems concerning prime numbers which cannot be addressed along these lines, for example the representation of primes by polynomials. In this t ..."
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Cited by 3 (0 self)
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Abstract. The classical memoir by Riemann on the zeta function was motivated by questions about the distribution of prime numbers. But there are important problems concerning prime numbers which cannot be addressed along these lines, for example the representation of primes by polynomials
On the nonasymptotic prime number distribution
 math.NT/9811096 V1, LANL, Los Alamos
, 1998
"... The objective of this paper is to introduce an approach to the study of the nonasymptotic distribution of prime numbers. The natural numbers are represented by theorem 1 in the matrix form 2 N. The first column of the infinite matrix 2 N starts with the unit and contains all composite numbers in asc ..."
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Cited by 2 (2 self)
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The objective of this paper is to introduce an approach to the study of the nonasymptotic distribution of prime numbers. The natural numbers are represented by theorem 1 in the matrix form 2 N. The first column of the infinite matrix 2 N starts with the unit and contains all composite numbers
Quantum Hamiltonians and Prime Numbers
, 2003
"... Abstract. I list from the literature some Schroedinger hamiltonians related to prime numbers adding a few stimulating comments on each case. ..."
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Abstract. I list from the literature some Schroedinger hamiltonians related to prime numbers adding a few stimulating comments on each case.
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