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戴德金和[Dedekind Sums] 相关原创论文集锦

  • 创建者:数论天使
  • 创建时间:2012-08-15 09:39
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  • 介绍:绍:本豆单收集国内高等院校、基础科学研究机构的数学及其相关专业的博士学位、硕士学位论文,主题涵盖戴德金和[Dedekind Sums]及其推广、应用,重点是戴德金和[Dedekind Sums]在量子代数、现代数论、现代组合学、非交换几何等方面的应用。
  • 关键词: 算子代数 半群 调和分析 密码学 量子代数 现代数论 现代组合学 凝聚态物理,非交换几何
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201411.1820v2 Fractional parts of Dedekind sums14 p
pdf 201411.1820v2 Fractional parts of Dedekind sums
Using a recent improvement by Bettin and Chandee to a bound of Duke, Friedlander and Iwaniec~(1997) on double exponential sums with Kloosterman fra..
  • 上传人: 数论天使
  • 2018-04-06 20:04
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201303.2331 Equidistribution of generalized Dedekind sums and exponential sums23 p
pdf 201303.2331 Equidistribution of generalized Dedekind sums..
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  • 上传人: 数论天使
  • 2013-03-13 17:20
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201310.1253v2 The fractional parts of Dedekind sums4 p
pdf 201310.1253v2 The fractional parts of Dedekind sums
We show that each rational number r , 0≤r<1 , occurs as the fractional part of a Dedekind sum S(m,n) .
  • 上传人: 数论天使
  • 2013-10-29 08:51
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201411.1820v1 Fractional parts of Dedekind sums14 p
pdf 201411.1820v1 Fractional parts of Dedekind sums
Using a bound of W. Duke, J. B. Friedlander and H. Iwaniec (1997) on double exponential sums with Kloosterman fractions, we establ..
  • 上传人: 数论天使
  • 2014-11-11 06:45
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A Fast Algorithm for Partial Fraction Decompositions17 p
pdf A Fast Algorithm for Partial Fraction Decompositions
We obtain two new algorithms for partial fraction decompositions; the first nis over algebraically closed fields, and the second is over general fields. nT..
  • 上传人: 飞亚
  • 2010-12-29 11:17
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Asymptotics of the number of partitions into p-cores and some trigonometric sums14 p
pdf Asymptotics of the number of partitions into p-cores and s..
An asymptotic formula for the number of partitions into p-cores is derived. nAs a byproduct some integer valued trigonometric sums are found
  • 上传人: 飞亚
  • 2010-12-30 01:58
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Witten volume formulas for semi-simple Lie algebras15 p
pdf Witten volume formulas for semi-simple Lie algebras
In this paper we provide an algebraic derivation of the explicit Witten volume formulas for a few semi-simple Lie algebras by combining a combinatorial metho..
  • 上传人: 数论天使
  • 2010-10-07 21:23
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aa6616_On Franel–Kluyver integrals of order three [关于Franel-Kluyver三次积分]17 p
pdf aa6616_On Franel–Kluyver integrals of order three [关于Fra..
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  • 上传人: 数论天使
  • 2011-05-28 16:00
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An Explicit Formulation for Two Dimensional Vector Partition Functions15 p
pdf An Explicit Formulation for Two Dimensional Vector Part..
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201008.0038v1 Bernoulli--Dedekind Sums14 p
pdf 201008.0038v1 Bernoulli--Dedekind Sums
Let p1,p2,...,pn, a1,a2,...,an ∈ N, x1,x2,...,xn ∈ R, and denote the k-th periodized Bernoulli polynomial by Bk(x). ..
  • 上传人: 数论天使
  • 2010-11-12 09:53
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The elliptic Apostol-Dedekind sums generate odd Dedekind symbols with Laurent polynomial reci21 p
pdf The elliptic Apostol-Dedekind sums generate odd Dedekind..
Dedekind symbols are generalizations of the classical Dedekind sums n(symbols). There is a natural isomorphism between the space of Dedekind symbols nwith..
  • 上传人: 飞亚
  • 2010-12-31 15:46
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aa9226_On the hybrid mean value of Dedekind sums and Hurwitz zeta-function12 p
pdf aa9226_On the hybrid mean value of Dedekind sums and Hurw..
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  • 上传人: 数论天使
  • 2011-05-23 07:03
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aa8232_Properties of certain integer-valued analogues of Dedekind sums14 p
pdf aa8232_Properties of certain integer-valued analogues of D..
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  • 上传人: 数论天使
  • 2011-05-24 10:14
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201103.0370v2 When are two Dedekind sums equal6 p
pdf 201103.0370v2 When are two Dedekind sums equal
A natural question about Dedekind sums is to find conditions on the integers $a_1, a_2$, and $b$ such that $s(a_1,b) = s(a_2, b)$. We prove that if the f..
  • 上传人: 数论天使
  • 2011-03-08 16:19
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The Petersson–Knopp Identity for the Homogeneous Dedekind Sums8 p
pdf The Petersson–Knopp Identity for the Homogeneous Dedeki..
The Petersson–Knopp Identity for the Homogeneous
  • 上传人: duyongguang
  • 2011-03-25 09:06
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