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Titlebook: Combinatorial and Additive Number Theory II; CANT, New York, NY, Melvyn B. Nathanson Conference proceedings 2017 Springer International Pu

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Andreas Braun,Björn Ebel,Albert Alberssuch that .. We establish direct relations between these three functions. In particular, we express each one of them in terms of each other one. We also characterize the representation functions by an intrinsic recursive relation which is a necessary and sufficient condition.
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Characteristic, Counting, and Representation Functions Characterized,such that .. We establish direct relations between these three functions. In particular, we express each one of them in terms of each other one. We also characterize the representation functions by an intrinsic recursive relation which is a necessary and sufficient condition.
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https://doi.org/10.1007/978-981-16-9657-2ities can then be used to calculate . for large values of .. Further, these identities correspond to generating function identities involving a sequence of polynomials which have suggestive connections to Eulerian polynomials.
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Elias G. Carayannis,David F. J. Campbell and only if .. From computations with the first 25000 primes, Sondow conjectured that .also with strict inequality if and only if .. In this note, we prove that equality holds when ., and that if . then . . exceeds the class number .. We also give extensions to the Jacobi and Kronecker symbols ..
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Meriem Tazir,Markus Göttemann,Ksenia Grubetsnite sequence . of integers with . for all . or is a contraction of such a system. This paper discusses limits and the stability of additive systems and also describes the “uncontractable” or “indecomposable” additive systems.
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Initial Sums of the Legendre Symbol: Is , ?, and only if .. From computations with the first 25000 primes, Sondow conjectured that .also with strict inequality if and only if .. In this note, we prove that equality holds when ., and that if . then . . exceeds the class number .. We also give extensions to the Jacobi and Kronecker symbols ..
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