Titlebook: Number Theory and Related Fields; In Memory of Alf van Jonathan M. Borwein,Igor Shparlinski,Wadim Zudilin Conference proceedings 2013 Sprin

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,Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010),r the rest of his life but travelled overseas for professional reasons several times a year from 1975 onwards. Alf was famous for his research in number theory and for his extensive contributions to the mathematics profession both in Australia and overseas..The scientific work of Alf van der Poorten

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,Ramanujan–Sato-Like Series,complex plane. Then we use these .-functions together with a conjecture to find new examples of series of non-hypergeometric type. To motivate our theory we begin with the simpler case of Ramanujan–Sato series for 1∕..

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On the Sign of the Real Part of the Riemann Zeta Function,sities related to the argument and to the real part of the zeta function on such lines. Using classical results of Bohr and Jessen, we obtain an explicit expression for the characteristic function associated with the argument. We give explicit expressions for the densities in terms of this character

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,Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition,ause of a blend of ideas and techniques from several seemingly unrelated contexts which are used there. One might say that additive combinatorics is a branch of mathematics concerning the study of combinatorial properties of algebraic objects, for instance, Abelian groups, rings, or fields. This eme

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Continued Fractions and Dedekind Sums for Function Fields,continued fractions, Hickerson answered these questions affirmatively. In function fields, there exists a Dedekind sum .(., .) (see Sect. 4) similar to .(., .). Using continued fractions, we answer the analogous problems for .(., .).

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Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Manfinitely many integer zeros of a generalized exponential polynomial form a finite union of arithmetic progressions. The second shows how to construct classes of transcendentally transcendental power series having the property that the index set of its zero coefficients is a finite union of arithmeti