Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 3 of 3 for “"prime number theorem for arithmetic progressions"”.
-
A Detailed Proof of the Prime Number Theorem for Arithmetic Progressions
… that J. Elstrodt published in 1998 to prove the Prime Number Theorem for arithmetic progressions. We will review basic results from Dirichlet characters and L-functions. Furthermore, we establish a weak version of the Wiener-Ikehara Tauberian Theorem, which is an essential tool for the proof of …
-
Explicit Estimates for Functions of Primes in Arithmetic Progressions
… three topics: Explicit zero-free regions for Dirichlet L-functions, numerical estimates for the error term in the prime number theorem for arithmetic progressions, and Waring's problem for cubes.
-
Vergleichende multiplikative Zahlentheorie
Unter der Annahme der verallgemeinerten Riemannschen Vermutung beweise ich eine effektive Variante des Satzes von Littlewood, partielle Ergebnisse zum Shanks-Renyi-race-Problem sowie Aussagen ueber lokale Schwankungen in der Primzahlverteilung. Als Hilfsmittel fuehre ich einen neuen Begriff von …