Proceedings of the American Mathematical Society最新文献

Large values of quadratic Dirichlet 𝐿-functions over monic irreducible polynomial in 𝔽_{𝕢}[𝕥] 在𝔽_{𝕢}[𝕥]中的单不可还原多项式上的二次迪里夏特𝐿函数的大值

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-06-14 DOI: 10.1090/proc/16828

Pranendu Darbar, Gopal Maiti

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引用次数: 0

A remark on the set of exactly approximable vectors in the simultaneous case 关于同时情况下精确可近似向量集的评论

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-06-14 DOI: 10.1090/proc/16790

Reynold Fregoli

{"title":"A remark on the set of exactly approximable vectors in the simultaneous case","authors":"Reynold Fregoli","doi":"10.1090/proc/16790","DOIUrl":"https://doi.org/10.1090/proc/16790","url":null,"abstract":"We compute the Hausdorff dimension of the set of <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"psi\">\u0000 <mml:semantics>\u0000 <mml:mi>ψ</mml:mi>\u0000 <mml:annotation encoding=\"application/x-tex\">psi</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula>-exactly approximable vectors, in the simultaneous case, in dimension strictly larger than <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"2\">\u0000 <mml:semantics>\u0000 <mml:mn>2</mml:mn>\u0000 <mml:annotation encoding=\"application/x-tex\">2</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> and for approximating functions <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"psi\">\u0000 <mml:semantics>\u0000 <mml:mi>ψ</mml:mi>\u0000 <mml:annotation encoding=\"application/x-tex\">psi</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> with order at infinity less than or equal to <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"negative 2\">\u0000 <mml:semantics>\u0000 <mml:mrow>\u0000 <mml:mo>−</mml:mo>\u0000 <mml:mn>2</mml:mn>\u0000 </mml:mrow>\u0000 <mml:annotation encoding=\"application/x-tex\">-2</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula>. Our method relies on the analogous result in dimension <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"1\">\u0000 <mml:semantics>\u0000 <mml:mn>1</mml:mn>\u0000 <mml:annotation encoding=\"application/x-tex\">1</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula>, proved by Yann Bugeaud and Carlos Moreira, and a version of Jarník’s theorem on fibres.","PeriodicalId":20696,"journal":{"name":"Proceedings of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141339471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Diameter estimate for planar 𝐿_{𝑝} dual Minkowski problem 平面𝐿_{𝑝} 对偶闵科夫斯基问题的直径估计

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-05-22 DOI: 10.1090/proc/16464

Minhyun Kim, Taehun Lee

{"title":"Diameter estimate for planar 𝐿_{𝑝} dual Minkowski problem","authors":"Minhyun Kim, Taehun Lee","doi":"10.1090/proc/16464","DOIUrl":"https://doi.org/10.1090/proc/16464","url":null,"abstract":"In this paper, given a prescribed measure on <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"double-struck upper S Superscript 1\">\u0000 <mml:semantics>\u0000 <mml:msup>\u0000 <mml:mrow class=\"MJX-TeXAtom-ORD\">\u0000 <mml:mi mathvariant=\"double-struck\">S</mml:mi>\u0000 </mml:mrow>\u0000 <mml:mn>1</mml:mn>\u0000 </mml:msup>\u0000 <mml:annotation encoding=\"application/x-tex\">mathbb {S}^1</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> whose density is bounded and positive, we establish a uniform diameter estimate for solutions to the planar <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L Subscript p\">\u0000 <mml:semantics>\u0000 <mml:msub>\u0000 <mml:mi>L</mml:mi>\u0000 <mml:mi>p</mml:mi>\u0000 </mml:msub>\u0000 <mml:annotation encoding=\"application/x-tex\">L_p</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> dual Minkowski problem when <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"0 greater-than p greater-than 1\">\u0000 <mml:semantics>\u0000 <mml:mrow>\u0000 <mml:mn>0</mml:mn>\u0000 <mml:mo>></mml:mo>\u0000 <mml:mi>p</mml:mi>\u0000 <mml:mo>></mml:mo>\u0000 <mml:mn>1</mml:mn>\u0000 </mml:mrow>\u0000 <mml:annotation encoding=\"application/x-tex\">0>p>1</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> and <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"q greater-than-or-equal-to 2\">\u0000 <mml:semantics>\u0000 <mml:mrow>\u0000 <mml:mi>q</mml:mi>\u0000 <mml:mo>≥</mml:mo>\u0000 <mml:mn>2</mml:mn>\u0000 </mml:mrow>\u0000 <mml:annotation encoding=\"application/x-tex\">qge 2</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula>. We also prove the uniqueness and positivity of solutions to the <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L Subscript p\">\u0000 <mml:semantics>\u0000 <mml:msub>\u0000 <mml:mi>L</mml:mi>\u0000 <mml:mi>p</mml:mi>\u0000 </mml:msub>\u0000 <mml:annotation encoding=\"application/x-tex\">L_p</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> Minkowski problem when the density of the measure is sufficiently close to a constant in <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper C Superscript alpha\">\u0000 <mml:semantics>\u0000 <mml:msup>\u0000 <mml:mi>C</mml:mi>\u0000 <mml:mi>α</mml:mi>\u0000 </mml:msup>\u0000 <mml:annotation encoding=\"application/x-tex\">C^alpha</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula>.","PeriodicalId":20696,"journal":{"name":"Proceedings of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141109399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Forcing more 𝖣𝖢 over the Chang model using the Thorn sequence 使用索恩序列在张模型上施加更多的 𝖣𝖢

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-05-22 DOI: 10.1090/proc/16700

James Holland, Grigor Sargsyan

{"title":"Forcing more 𝖣𝖢 over the Chang model using the Thorn sequence","authors":"James Holland, Grigor Sargsyan","doi":"10.1090/proc/16700","DOIUrl":"https://doi.org/10.1090/proc/16700","url":null,"abstract":"In the context of <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"sans-serif upper Z sans-serif upper F plus sans-serif upper D sans-serif upper C\">\u0000 <mml:semantics>\u0000 <mml:mrow>\u0000 <mml:mrow class=\"MJX-TeXAtom-ORD\">\u0000 <mml:mi mathvariant=\"sans-serif\">Z</mml:mi>\u0000 <mml:mi mathvariant=\"sans-serif\">F</mml:mi>\u0000 </mml:mrow>\u0000 <mml:mo>+</mml:mo>\u0000 <mml:mrow class=\"MJX-TeXAtom-ORD\">\u0000 <mml:mi mathvariant=\"sans-serif\">D</mml:mi>\u0000 <mml:mi mathvariant=\"sans-serif\">C</mml:mi>\u0000 </mml:mrow>\u0000 </mml:mrow>\u0000 <mml:annotation encoding=\"application/x-tex\">mathsf {ZF}+mathsf {DC}</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula>, we force <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"sans-serif upper D sans-serif upper C Subscript kappa\">\u0000 <mml:semantics>\u0000 <mml:msub>\u0000 <mml:mrow class=\"MJX-TeXAtom-ORD\">\u0000 <mml:mi mathvariant=\"sans-serif\">D</mml:mi>\u0000 <mml:mi mathvariant=\"sans-serif\">C</mml:mi>\u0000 </mml:mrow>\u0000 <mml:mi>κ</mml:mi>\u0000 </mml:msub>\u0000 <mml:annotation encoding=\"application/x-tex\">mathsf {DC}_kappa</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> for relations on <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"script upper P left-parenthesis kappa right-parenthesis\">\u0000 <mml:semantics>\u0000 <mml:mrow>\u0000 <mml:mrow class=\"MJX-TeXAtom-ORD\">\u0000 <mml:mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">P</mml:mi>\u0000 </mml:mrow>\u0000 <mml:mo stretchy=\"false\">(</mml:mo>\u0000 <mml:mi>κ</mml:mi>\u0000 <mml:mo stretchy=\"false\">)</mml:mo>\u0000 </mml:mrow>\u0000 <mml:annotation encoding=\"application/x-tex\">mathcal {P}(kappa )</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> for arbitrarily large <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"kappa greater-than normal alef Subscript omega\">\u0000 <mml:semantics>\u0000 <mml:mrow>\u0000 <mml:mi>κ</mml:mi>\u0000 <mml:mo>></mml:mo>\u0000 <mml:msub>\u0000 <mml:mi mathvariant=\"normal\">ℵ</mml:mi>\u0000 <mml:mi>ω</mml:mi>\u0000 </mml:msub>\u0000 </mml:mrow>\u0000 <mml:annotation encoding=\"application/x-tex\">kappa >aleph _omega</mml:annotation>\u0000 </mml:semantics>\u0000</mml:math>\u0000</inline-formula> over the Chang model <inline-formula content-type=\"math/mathml\">\u0000<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper L left-parenthesis normal upper O normal r normal d Superscript omega Baseline right-parenthesis\">\u0000 <mml:semantics>\u0000 <mml:mrow>\u0000 <mml:mrow class=\"MJX-TeXAtom-ORD\">\u0000 <mml:mi mathvariant=\"normal\">L</mml:mi>\u0000 </mml:mrow>\u0000 <mml:mo stretchy=\"false\">(</mml:mo>\u0000 <mml:msup>\u0000 <mml:mrow class=\"MJX-TeXAtom-ORD\">\u0000 <mml:mi mathvariant=\"normal\">O</mml:mi>\u0000 <mml:mi mathvarian","PeriodicalId":20696,"journal":{"name":"Proceedings of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141109352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Are generic dynamical properties stable under composition with rotations? 一般动力学特性在与旋转的组合下是否稳定？

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-05-21 DOI: 10.1090/proc/16800

J. Bobok, Jernej Činč, Piotr Oprocha, Serge Troubetzkoy

引用次数: 0

On the minimality condition for caustics of pseudo-spherical surfaces 关于伪球面凹凸的最小条件

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-05-21 DOI: 10.1090/proc/16780

Yoshiki Jikumaru, Keisuke Teramoto

引用次数: 0

The growth recurrence and Gelfand-Kirillov base of the ordinary cusp 普通顶点的增长递推和格尔芬-基里洛夫基

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-05-11 DOI: 10.1090/proc/16913

Alan Dills, Florian Enescu

引用次数: 0

Yosida distance and existence of invariant manifolds in the infinite-dimensional dynamical systems 无穷维动力系统中的约西达距离和不变流形的存在性

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-05-11 DOI: 10.1090/proc/16912

Xuan-Quang Bui, Nguyen Van Minh

{"title":"Yosida distance and existence of invariant manifolds in the infinite-dimensional dynamical systems","authors":"Xuan-Quang Bui, Nguyen Van Minh","doi":"10.1090/proc/16912","DOIUrl":"https://doi.org/10.1090/proc/16912","url":null,"abstract":"We consider the existence of invariant manifolds to evolution equations <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"u prime left-parenthesis t right-parenthesis equals upper A u left-parenthesis t right-parenthesis\"> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>u</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mi>t</mml:mi> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mo>=</mml:mo> <mml:mi>A</mml:mi> <mml:mi>u</mml:mi> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mi>t</mml:mi> <mml:mo stretchy=\"false\">)</mml:mo> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">u’(t)=Au(t)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper A colon upper D left-parenthesis upper A right-parenthesis subset-of double-struck upper X right-arrow double-struck upper X\"> <mml:semantics> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo>:</mml:mo> <mml:mi>D</mml:mi> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mi>A</mml:mi> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mo>⊂</mml:mo> <mml:mrow> <mml:mi mathvariant=\"double-struck\">X</mml:mi> </mml:mrow> <mml:mo stretchy=\"false\">→</mml:mo> <mml:mrow> <mml:mi mathvariant=\"double-struck\">X</mml:mi> </mml:mrow> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">A:D(A)subset mathbb {X}to mathbb {X}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> near its equilibrium <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper A left-parenthesis 0 right-parenthesis equals 0\"> <mml:semantics> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mn>0</mml:mn> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">A(0)=0</mml:annotation> </mml:semantics> </mml:math> </inline-formula> under the assumption that its proto-derivative <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"partial-differential upper A left-parenthesis x right-parenthesis\"> <mml:semantics> <mml:mrow> <mml:mi mathvariant=\"normal\">∂</mml:mi> <mml:mi>A</mml:mi> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy=\"false\">)</mml:mo> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">partial A(x)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> exists and is continuous in <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"x element-of upper D left-parenthesis upper A right-parenthesis\"> <mml:semantics> <mml:mrow> <mml:mi>x</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>D</mml:mi> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mi>A</mml:mi> <mml:mo stretchy=\"false\">)</mml:mo> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">xin D(A)</mml:annota","PeriodicalId":20696,"journal":{"name":"Proceedings of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141945110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Generalized Hilbert operators arising from Hausdorff matrices 豪斯多夫矩阵产生的广义希尔伯特算子

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-05-11 DOI: 10.1090/proc/16917

C. Bellavita, N. Chalmoukis, V. Daskalogiannis, G. Stylogiannis

引用次数: 0

A short note on 𝜋₁(𝐷𝑖𝑓𝑓_{∂}𝐷^{4𝑘}) for 𝑘≥3 关于𝜋₁(𝐷𝑖𝑓𝑓_{∂}𝐷^{4𝑘})的简短说明，适用于 𝑘≥3

IF 1 3区数学

Proceedings of the American Mathematical Society Pub Date : 2024-05-11 DOI: 10.1090/proc/16908

Wei Wang

{"title":"A short note on 𝜋₁(𝐷𝑖𝑓𝑓_{∂}𝐷^{4𝑘}) for 𝑘≥3","authors":"Wei Wang","doi":"10.1090/proc/16908","DOIUrl":"https://doi.org/10.1090/proc/16908","url":null,"abstract":"Let <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper D i f f Subscript partial-differential Baseline left-parenthesis upper D Superscript n Baseline right-parenthesis\"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>Diff</mml:mi> <mml:mrow> <mml:mi mathvariant=\"normal\">∂</mml:mi> </mml:mrow> </mml:msub> <mml:mo>⁡</mml:mo> <mml:mo stretchy=\"false\">(</mml:mo> <mml:msup> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>n</mml:mi> </mml:mrow> </mml:msup> <mml:mo stretchy=\"false\">)</mml:mo> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">operatorname {Diff}_{partial }(D^{n})</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be the topological group of diffeomorphisms of <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper D Superscript n\"> <mml:semantics> <mml:msup> <mml:mi>D</mml:mi> <mml:mrow> <mml:mi>n</mml:mi> </mml:mrow> </mml:msup> <mml:annotation encoding=\"application/x-tex\">D^{n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> which agree with the identity near the boundary. In this short note, we compute the fundamental group <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"pi 1 upper D i f f Subscript partial-differential Baseline left-parenthesis upper D Superscript 4 k Baseline right-parenthesis\"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>π</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:msub> <mml:mi>Diff</mml:mi> <mml:mrow> <mml:mi mathvariant=\"normal\">∂</mml:mi> </mml:mrow> </mml:msub> <mml:mo>⁡</mml:mo> <mml:mo stretchy=\"false\">(</mml:mo> <mml:msup> <mml:mi>D</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mi>k</mml:mi> </mml:mrow> </mml:msup> <mml:mo stretchy=\"false\">)</mml:mo> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">pi _1 operatorname {Diff}_{partial }(D^{4k})</mml:annotation> </mml:semantics> </mml:math> </inline-formula> for <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"k greater-than-or-equal-to 3\"> <mml:semantics> <mml:mrow> <mml:mi>k</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">kgeq 3</mml:annotation> </mml:semantics> </mml:math> </inline-formula>.","PeriodicalId":20696,"journal":{"name":"Proceedings of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141880494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0