Search Results - Number theory Additive number theory; partitions

Modern trends in constructive function theory : Constructive Functions 2014, conference in honor of Ed Saff's 70th birthday, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee by Hardin, Douglas Patten, Lubinsky, Doron Shaul, Simanek, Brian Z., Constructive Functions (Conference and School)

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Ramanujan 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5-7, 2012, University of Florida, Gainesville, Florida by Alladi, Krishnaswami, Garvan, Frank (Frank G.), Yee, Ae Ja, Ramanujan 125 (Conference)

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Revisiting Kneser’s Theorem for Field Extensions by Bachoc, Christine, Serra, Oriol, Zémor, Gilles

“…A Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions. This theorem was known to be valid only in separable extensions,…”
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Integer partitions detect the primes by Craig, William, van Ittersum, Jan-Willem, Ono, Ken

“…We show that integer partitions, the fundamental building blocks in additive number theory, detect prime numbers in an unexpected way…”
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Computing denumerants in numerical 3-semigroups by Aguiló-Gost, F., Llena, D.

“… is the number of non-negative integer solutions of certain linear non-negative Diophantine equation which constant term is equal…”
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Studies in Additive Number Theory by Circles of Partition by Agama, Theophilus, Berndt Gensel

“… In particular, our method allows us to partition any sufficiently large number \(n\in\mathbb{N}\) into any set \(\mathbb{H}\) with natural density greater…”
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Combinatorial Number Theory: Proceedings of the "Integers Conference 2011", Carrollton, Georgia, USA, October 26-29, 2011 by Integers Conference (2011 : Carrollton, Georgia, USA), Landman, Bruce, Nathanson, Melvyn Bernard, Nowakowski, Richard J., Nešetřil, Jaroslav, Pomerance, Carl, Robertson, Aaron

“… They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative…”
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Partition Problems in Additive Number Theory by Bollobás, Béla, Jin, Guoping

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The partition function p(n) in terms of the classical Möbius function by Merca, Mircea, Schmidt, Maxie D.

“…In this paper, we investigate decompositions of the partition function p ( n ) from the additive theory of partitions considering the famous Möbius function μ ( n…”
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A Partition Identity Related to Stanley's Theorem by Merca, Mircea, Schmidt, Maxie D.

“… from multiplicative number theory to the additive theory of partitions…”
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Additive evaluations of the number of divisors by Merca, Mircea

“…If m and n are positive integers, then a m ( n ) denotes the number of the parts congruent to 0 modulo m in all the partitions of n…”
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A brief history of partitions of numbers, partition functions and their modern applications by Debnath, Lokenath

“… Included are Euclid's and Pythagorean's main contributions to elementary number theory with the main contents of the Euclid Elements of the 13-volume…”
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New Connections Between Functions from Additive and Multiplicative Number Theory by Merca, Mircea

“…In this paper, we investigate new connections between the seemingly disparate branches of the additive and multiplicative number theory…”
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Partitions of the set of nonnegative integers with the same representation functions by Kiss, Sándor Z., Sándor, Csaba

“… from S. In this paper we focus on partitions of the natural numbers into two sets affording identical representation functions…”
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Bent Partitions and LP-Packings by Alkan, Sezel, Anbar, Nurdagul, Kalayci, Tekgul, Meidl, Wilfried

“… A large number of bent partitions, so-called generalized semifield spreads, can be obtained from semifields with certain properties…”
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The complexity of subcube partition relates to the additive structure of the support by Hegyvári, Norbert

“…). The complexity of it denotes by HSCP(f) is the minimum number of subcubes in a subcube partition which computes the Boolean function f…”
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On Integer Partitions Corresponding to Numerical Semigroups by Burson, Hannah E., Nam, Hayan, Sisneros-Thiry, Simone

“…Numerical semigroups are cofinite additive submonoids of the natural numbers. Keith and Nath illustrated an injection from numerical semigroups to integer partitions…”
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An elementary proof of a theorem of Hardy and Ramanujan by Cohen Antonir, Asaf, Shapira, Asaf

“…Let Q ( n ) denote the number of integers 1 ≤ q ≤ n whose prime factorization q = ∏ i = 1 t p i a i satisfies a 1 ≥ a 2…”
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A Partition Identity Related to Stanley's Theorem by Merca, Mircea, Schmidt, Maxie D

“… These surprising new results connect the famous classical totient function from multiplicative number theory to the additive theory of partitions…”
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A NOTE ON A CLASSICAL CONNECTION BETWEEN PARTITIONS AND DIVISORS by Mercat, M.

“… Euler’s partition function p(n) and the sum of the positive divisors function a(n). New relations connecting classical functions of multiplicative number theory with the partition function p(n…”
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