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000807169 24500 $$aNumber theory -- diophantine problems, uniform distribution and applications :$$bfestschrift in honour of Robert F. Tichy's 60th birthday /$$cChristian Elsholtz, Peter Grabner, editors.
000807169 264_1 $$aCham, Switzerland :$$bSpringer,$$c2017.
000807169 300__ $$a1 online resource
000807169 336__ $$atext$$btxt$$2rdacontent
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000807169 504__ $$aIncludes bibliographical references.
000807169 5050_ $$aPreface; 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.
000807169 5058_ $$a2 Limit Random Measure and a Structure Theorem3 Permutation-Invariance; 4 Lacunary Sequences Outside L2; 5 Applications to Banach Space Theory; 6 Resonance Theorems; 7 Series with Random Gaps; 8 Discrepancy of Lacunary Series; References; Diversity in Parametric Families of Number Fields; 1 Introduction; 1.1 Plan of the Article; 2 Notation and Conventions; 3 The Argument of Dvornicich-Zannier; 4 A Special Set of Square-Free Numbers; 5 Greedy and Generous Square-Free Numbers; 5.1 Initializing the Proof of Proposition 5.1; 5.2 Counting m with nmE(x); 5.3 Counting m with nmL(x).
000807169 5058_ $$a5.4 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.
000807169 506__ $$aAccess limited to authorized users.
000807169 520__ $$aThis volume is dedicated to Robert F. Tichy on the occasion of his 60th birthday. Presenting 22 research and survey papers written by leading experts in their respective fields, it focuses on areas that align with Tichy's research interests and which he significantly shaped, including Diophantine problems, asymptotic counting, uniform distribution and discrepancy of sequences (in theory and application), dynamical systems, prime numbers, and actuarial mathematics. Offering valuable insights into recent developments in these areas, the book will be of interest to researchers and graduate students engaged in number theory and its applications.
000807169 588__ $$aOnline resource; title from PDF title page (viewed June 8, 2017).
000807169 60010 $$aTichy, R. F.$$q(Robert F.),$$d1957-
000807169 650_0 $$aNumber theory.
000807169 650_0 $$aDiophantine analysis.
000807169 650_0 $$aUniform distribution (Probability theory)
000807169 7001_ $$aElsholtz, Christian,$$eeditor.
000807169 7001_ $$aGrabner, Peter$$q(Peter J.),$$eeditor.
000807169 77608 $$iPrint version:$$z9783319553566
000807169 852__ $$bebk
000807169 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-55357-3$$zOnline Access$$91397441.1
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