Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Gautam Chinta"'
Publikováno v:
Indagationes Mathematicae. 34:643-659
Autor:
Gautam, Chinta Mani, Watanabe, Teiji
Publikováno v:
Mountain Research and Development, 2004 Feb 01. 24(1), 35-43.
Externí odkaz:
https://www.jstor.org/stable/3674463
We form real-analytic Eisenstein series twisted by Manin's noncommutative modular symbols. After developing their basic properties, these series are shown to have meromorphic continuations to the entire complex plane and satisfy functional equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7559a4c8e545d82bb2c43ca2aae72e3e
http://arxiv.org/abs/1704.02305
http://arxiv.org/abs/1704.02305
Autor:
Gautam Chinta, Omer Offen
Publikováno v:
American Journal of Mathematics. 135:403-441
We provide formulas for various bases of spherical Whittaker functions on the $n$-fold metaplectic cover of ${\rm GL}_r$ over a $p$-adic field and show that there is a basis of symmetric functions in the complex parameter. In addition we relate a spe
Autor:
Joel B. Mohler, Gautam Chinta
Publikováno v:
Acta Arithmetica. 144:53-68
Friedberg, Hoffstein and Lieman have constructed two related multiple Dirichlet series from quadratic and higher-order L-functions and Gauss sums. We compute these multiple Dirichlet series explicitly in the case of the rational function field. This
Publikováno v:
Nagoya Math. J.
Nagoya Math. J. 198 (2010), 121-172
Nagoya Math. J. 198 (2010), 121-172
By a discrete torus we mean the Cayley graph associated to a finite product of finite cycle groups with generating set given by choosing a generator for each cyclic factor. In this article we study the spectral theory of the combinatorial Laplacian f
Autor:
Gautam Chinta
Publikováno v:
Acta Arithmetica. 132:377-391
Autor:
Gautam Chinta, Omer Offen
Publikováno v:
Mathematische Annalen. 339:891-913
Let E be an imaginary quadratic extension of \({\mathbb{Q}}\) of class number one. We examine certain representation numbers associated to Hermitian forms over E , which involve counting integral points on flag varieties.
Autor:
Paul E. Gunnells, Gautam Chinta
Publikováno v:
Inventiones mathematicae. 167:327-353
We construct multiple Dirichlet series in several complex variables whose coefficients involve quadratic residue symbols. The series are shown to have an analytic continuation and satisfy a certain group of functional equations. These are the first e
Publikováno v:
Proceedings of Symposia in Pure Mathematics. :3-41