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math.NT2016
Explicit Estimates in the Theory of Prime Numbers
Adrian Dudek
It is the purpose of this thesis to enunciate and prove a collection of explicit results in the theory of prime numbers. First, the problem of primes in short intervals is consider…
math.NT2016★ 2 cited
Explicit Short Intervals for Primes in Arithmetic Progressions on GRH
Adrian W. Dudek, Loïc Grenié, Giuseppe Molteni
We prove explicit versions of Cramér's theorem for primes in arithmetic progressions, on the assumption of the generalized Riemann hypothesis.
math.HO2016
On the Success of Mishandling Euclid's Lemma
Adrian Dudek
We examine Euclid's lemma that if is a prime number such that , then divides at least one of or . Specifically, we consider the common misapplication of this…