Number theory -- diophantine problems, uniform distribution and applications : festschrift in honour of Robert F. Tichy's 60th birthday /: festschrift in honour of Robert F. Tichy's 60th birthday. (2017)

• Record Type: Book
• Further Information: Note: Christian Elsholtz, Peter Grabner, editors.
• Editors: Elsholtz, Christian; Grabner, Peter (Peter J.)
• Contents: Preface; Contents; List of Contributors; On Nearly Linear Recurrence Sequences; 1 Introduction; 2 Proof of Theorem 1.1; 3 On the Growth of nlrs; 4 Common Values; References; Risk Theory with Affine Dividend Payment Strategies; 1 Introduction; 2 The Model; 3 Expected Discounted Dividend Payments; 3.1 Constructing an Exact Solution for Exponential Claims; 4 A Laplace Transform Approach; 4.1 Exponential Claims; 5 The Time of Ruin; 5.1 Digamma Functions; 5.2 Kampé de Fériet Functions; 6 A Probabilistic Argument; 7 Numerical Illustrations; 7.1 General Considerations; 7.2 Optimal Parameters. 2 Limit Random Measure and a Structure Theorem3 Permutation-Invariance; 4 Lacunary Sequences Outside L2; 5 Applications to Banach Space Theory; 6 Resonance Theorems; 7 Series with Random Gaps; 8 Discrepancy of Lacunary Series; References; Diversity in Parametric Families of Number Fields; 1 Introduction; 1.1 Plan of the Article; 2 Notation and Conventions; 3 The Argument of Dvornicich-Zannier; 4 A Special Set of Square-Free Numbers; 5 Greedy and Generous Square-Free Numbers; 5.1 Initializing the Proof of Proposition 5.1; 5.2 Counting m with nmE(x); 5.3 Counting m with nmL(x). 5.4 Completing the Proof6 Proof of Lemma 5.2; 6.1 Two Simple Lemmas; 6.2 Cliques; 6.3 The Sum over Cliques; 6.4 Estimating S; 6.4.1 The Estimate with m1 and m2 Fixed; 6.4.2 The Estimate with m1 Fixed; 6.4.3 Estimating S; 6.5 Estimating S; 6.6 Proof of Lemma 5.2; 7 Proof of Theorem 1.6; References; Local Oscillations in Moderately Dense Sequences of Primes; 1 Introduction; 2 A Sieve Estimate; 3 Second Differences: Proof of Theorem 3; 4 Curvature: Proof of Theorem 2; 5 A Scattered Sequence; References; Sums of the Digits in Bases 2 and 3; 1 Introduction; 2 A Heuristic Approach.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 512.7; Mathematics; Number theory; Diophantine analysis; Uniform distribution (Probability theory); MATHEMATICS -- Algebra -- Intermediate; Diophantine analysis; Number theory; Uniform distribution (Probability theory); Mathematics -- Probability & Statistics -- General; Probability & statistics; Distribution (Probability theory); Mathematics -- Number Theory; Number theory; Electronic books
• Languages: English
• ISBNs: 9783319553573; 3319553577; 3319553569; 9783319553566
• Related ISBNs: 9783319553566
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed June 8, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.