Number Theory and Analysis

Chapter 1 On the Large Sieve Method

Chapter 2 Über Binäre Additive Probleme Gemischter Art

Chapter 3 How to Extend A Calculus

Chapter 4 On the Representation of Positive Integers as Sums of Three Cubes of Positive Rational Numbers

Chapter 5 Analytische Klassenzahlformeln

Chapter 6 Über Folgen Ganzer Zahlen

Chapter 7 On the Average Length of a Class of Finite Continued Fractions

Chapter 8 Interpolation Analytischer Funktionen Auf Dem Einheitskreis

Chapter 9 On the High-Indices Theorem for Borel Summability

Chapter 10 Bemerkungen Zu Landauschen Methoden in Der Gitterpunktlehre

Chapter 11 Über Einige Fragen Der Vergleichenden Primzahltheorie

Chapter 12 On Local Theorems for Additive Number-Theoretic Functions

Chapter 13 The “Pits Effect” for the Integral Function $$f\left( z \right) = \sum {\exp \left\{ { - {\vartheta ^{ - 1}}\left( {n\log n - n} \right) + \pi i\alpha {n^2}} \right\}{z^n},\alpha = \tfrac{1}{2}\left( {\sqrt 5 - 1} \right)} $$

Chapter 14 On Numbers which can be Expressed as a Sum of Powers

Chapter 15 On Some Diophantine Equations y 2 = x 3 + k with no Rational Solutions (II)

Chapter 16 Über Das Vorzeichen Des Restgliedes im Primzahlsatz

Chapter 17 A Measure for the Differential-Transcendence of the Zeta-Function of Riemann

Chapter 18 Comments on Euler’s “De Mirabilibus Proprietatibus Numerorum Pentagonalium”

Chapter 19 On the Distribution of Numbers Prime to n

Chapter 20 Spline Interpolation and the Higher Derivatives

Chapter 21 Zu Den Beweisen Des Vorbereitungssatzes Von Weierstrass

Chapter 22 Über Gitterpunkte in Mehrdimensionalen Kugeln IV