Results 11 to 20 of about 1,162 (217)
On weighted overpartitions related to sonic q-series in Ramanujan's lost notebook [PDF]
, 2021 Motivated by certain q-series of Ramanujan, we examine two overpartition difference functions. We give both combinatorial and asymptotic formulas for the differences and show that they are always positive.
김은미
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, 2023 Lists, multisets and partitions are fundamental datatypes in mathematics and computing. There are basic transformations from lists to multisets (called "accumulation") and also from lists to partitions (called "matching").
Stein, Dario, Jacobs, Bart
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An analogue of Bauer’s theorem for closed orbits of skew products [PDF]
, 2008 In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic ...
Mark Pollicott +3 more
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RESEARCH ON NUMBER THEORY AND SMARANDACHE NOTIONS [PDF]
, 2009 This Book is devoted to the proceedings of the fifth International Conference on Number Theory and Smarandache Notions held in Shangluo during March 27-30, 2009, assembling not only those papers which were presented at the conference but also those ...
Wenpeng, Zhang (editor)
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Some properties of the LCM sequence [PDF]
, 2006 The main purpose of this paper is using the elementary method to study the properties of the Smarandache LCM sequence, and give some interesting ...
Li, Hailong +3 more
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A new limit theorem involving the Smarandache LCM sequence [PDF]
, 2006 The main purpose of this paper is using the elementary method to study the LCM Sequence, and give an asymptotic formula about this ...
Xiaowei, Pan
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An Introduction to the Theory of Numbers [PDF]
, 2021 This book/ which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties/ greatest common divisor/ etc.)/ is an expanded version of a series of lectures for graduate students on elementary number theory ...
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Integer Partitions and Why Counting Them is Hard [PDF]
, 2017 Partitions are a subject of study in the field of number theory and have been studied extensively since the eighteenth-century mathematician Leonhard Euler\u27s work on them.
Ortiz, Jose A.
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Theorems on partitions from a page in Ramanujan's lost notebook [PDF]
, 2003 On page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two are famous identities of Ramanujan immediately yielding the congruences p(5n+4)≡0(mod5) and p(7n+5)≡0(mod7) for the partition function p(n). Two of the identities,
Jinhee Yi +5 more
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On Elementary Lower Bounds for the Partition Function [PDF]
, 2003 We present two analogues of two well-known elementary arguments for a lower bound for p(n), the number of partitions of the integer n. One of these is character-theoretic, and the other relies on partition combinatorics developed and used in the theory ...
Maróti, Attila
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