Special values of L-functions modulo p
Special values of L-functions modulo p
批准号:
228072-2009
负责人:
Vatsal, Vinayak
金额:
$3.06万
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2013
资助国家:
加拿大
项目状态:
已结题
起止时间:
2013-01-01 至 2014-12-31
中文摘要
目前的申请建议通过将半整数权的模形式的傅里叶系数实现为源于Mumford的与极化阿贝尔变种相关的代数theta函数的theta常量来研究它们。在感兴趣的情况下,阿贝尔变种是与椭圆曲线的乘积同源的三重,并且极化是从三个变量的正定二次型推导出来的。
英文摘要
The current application proposes to study the Fourier coefficients of modular forms of half-integer weight by realizing them as theta constants arising from Mumford's theory of algebraic theta functions associated to polarized abelian varieties. In the case of interest, the abelian varieties are three-folds isogenous to the product of elliptic curves, and the polarization is deduced from a positive definite quadratic form in three variables.
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Toric periods, modular forms, and number theory
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批准号:RGPIN-2019-03929
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.38万
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财政年份:2022
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负责人:Vatsal, Vinayak
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依托单位:
Toric periods, modular forms, and number theory
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批准号:RGPIN-2019-03929
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项目类别:Discovery Grants Program - Individual
-
资助金额:$1.38万
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财政年份:2021
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负责人:Vatsal, Vinayak
-
依托单位:
Toric periods, modular forms, and number theory
-
批准号:RGPIN-2019-03929
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.38万
-
财政年份:2020
-
负责人:Vatsal, Vinayak
-
依托单位:
Toric periods, modular forms, and number theory
-
批准号:RGPIN-2019-03929
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.38万
-
财政年份:2019
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负责人:Vatsal, Vinayak
-
依托单位:
Theta functions, L-functions, and modular forms
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批准号:RGPIN-2014-03847
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项目类别:Discovery Grants Program - Individual
-
资助金额:$1.31万
-
财政年份:2018
-
负责人:Vatsal, Vinayak
-
依托单位:
Theta functions, L-functions, and modular forms
-
批准号:RGPIN-2014-03847
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.31万
-
财政年份:2017
-
负责人:Vatsal, Vinayak
-
依托单位:
Theta functions, L-functions, and modular forms
-
批准号:RGPIN-2014-03847
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.31万
-
财政年份:2016
-
负责人:Vatsal, Vinayak
-
依托单位:
Theta functions, L-functions, and modular forms
-
批准号:RGPIN-2014-03847
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.31万
-
财政年份:2015
-
负责人:Vatsal, Vinayak
-
依托单位:
Theta functions, L-functions, and modular forms
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批准号:RGPIN-2014-03847
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.31万
-
财政年份:2014
-
负责人:Vatsal, Vinayak
-
依托单位:
Special values of L-functions modulo p
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批准号:380428-2009
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项目类别:Discovery Grants Program - Accelerator Supplements
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资助金额:$2.91万
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财政年份:2012
-
负责人:Vatsal, Vinayak
-
依托单位:
Special values of L-functions modulo p
-
批准号:228072-2009
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$3.06万
-
财政年份:2012
-
负责人:Vatsal, Vinayak
-
依托单位:
Special values of L-functions modulo p
-
批准号:228072-2009
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$3.06万
-
财政年份:2011
-
负责人:Vatsal, Vinayak
-
依托单位:
Special values of L-functions modulo p
-
批准号:380428-2009
-
项目类别:Discovery Grants Program - Accelerator Supplements
-
资助金额:$2.91万
-
财政年份:2011
-
负责人:Vatsal, Vinayak
-
依托单位:
Special values of L-functions modulo p
-
批准号:380428-2009
-
项目类别:Discovery Grants Program - Accelerator Supplements
-
资助金额:$2.91万
-
财政年份:2010
-
负责人:Vatsal, Vinayak
-
依托单位:
Special values of L-functions modulo p
-
批准号:228072-2009
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$3.06万
-
财政年份:2010
-
负责人:Vatsal, Vinayak
-
依托单位:
Special values of L-functions modulo p
-
批准号:228072-2009
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$3.06万
-
财政年份:2009
-
负责人:Vatsal, Vinayak
-
依托单位:
L-functions, modular forms, and galois representations
-
批准号:228072-2004
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
-
财政年份:2008
-
负责人:Vatsal, Vinayak
-
依托单位:
L-functions, modular forms, and galois representations
-
批准号:228072-2004
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
-
财政年份:2007
-
负责人:Vatsal, Vinayak
-
依托单位:
L-functions, modular forms, and galois representations
-
批准号:228072-2004
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
-
财政年份:2006
-
负责人:Vatsal, Vinayak
-
依托单位:
L-functions, modular forms, and galois representations
-
批准号:228072-2004
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
-
财政年份:2005
-
负责人:Vatsal, Vinayak
-
依托单位:
海外基金