• Explicit composition identities for higher composition laws
Gautam Chinta and Ajith Nair
Preprint , 2026.
arXiv | DOI
• The discrete analogue of the Gaussian
Gautam Chinta, Jay Jorgenson, Anders Karlsson and Lejla Smajlović
J. Phys. A 58(3), Paper No. 035203, 22, 2025.
arXiv | DOI
• The parametrix construction of the heat kernel on a graph
Gautam Chinta, Jay Jorgenson, Anders Karlsson and Lejla Smajlović
Complex Anal. Oper. Theory 18(8), Paper No. 176, 33, 2024.
arXiv | DOI
• Random and mean Lyapunov exponents for $\mathrm{GL}_n(\Bbb R)$
Diego Armentano, Gautam Chinta, Siddhartha Sahi and Michael Shub
Ergodic Theory Dynam. Systems 44(8), 2063--2079, 2024.
arXiv | DOI
• Appendix to: Most subrings of $\mathbb{Z}^n$ have large corank
Kelly Isham and Nathan Kaplan
Preprint , 2024.
arXiv | DOI
• Planes in $\mathbb{Z}^4$ and Eisenstein series
Gautam Chinta and Valdir Pereira Júnior
J. Lond. Math. Soc. (2) 108(6), 2415--2435, 2023.
arXiv | DOI
• The cotype zeta function of $\mathbb{Z}^d$
Gautam Chinta, Nathan Kaplan and Shaked Koplewitz
Indag. Math. (N.S.) 34(3), 643--659, 2023.
arXiv | DOI
• Counting subrings of $\mathbb{Z}^n$ of non-zero co-rank
S. Chimni, G. Chinta and R. Takloo-Bighash
J. Iran. Math. Soc. 1(2), 163--172, 2020.
arXiv | DOI
• Noncommutative modular symbols and Eisenstein series
Gautam Chinta, Ivan Horozov and Cormac O'Sullivan
Automorphic forms and related topics 732, 27--45, 2019.
arXiv | DOI
• Metaplectic Demazure operators and Whittaker functions
Gautam Chinta, Paul E. Gunnells and Anna Puskás
Indiana Univ. Math. J. 66(3), 1045--1064, 2017.
arXiv | DOI
• Heat kernels on regular graphs and generalized Ihara zeta function formulas
G. Chinta, J. Jorgenson and A. Karlsson
Monatsh. Math. 178(2), 171--190, 2015.
arXiv | DOI
• A metaplectic Casselman-Shalika formula for $\mathrm{GL}_r$
Gautam Chinta and Omer Offen
Amer. J. Math. 135(2), 403--441, 2013.
PDF | DOI
• Weyl group multiple Dirichlet series of type $A_2$
Gautam Chinta and Paul E. Gunnells
Number theory, analysis and geometry , 125--142, 2012.
arXiv | DOI
• Orthogonal period of a $GL_3(\mathbb{Z})$ Eisenstein series
Gautam Chinta and Omer Offen
Representation theory, complex analysis, and integral geometry , 41--59, 2012.
PDF | DOI
• Metaplectic Whittaker functions and crystals of type B
Ben Brubaker, Daniel Bump, Gautam Chinta and Paul E. Gunnells
Multiple Dirichlet series, L-functions and automorphic forms 300, 93--118, 2012.
PDF | DOI
• Metaplectic ice
Ben Brubaker, Daniel Bump, Gautam Chinta, Solomon Friedberg and Paul E. Gunnells
Multiple Dirichlet series, L-functions and automorphic forms 300, 65--92, 2012.
PDF | DOI
• Littelmann patterns and Weyl group multiple Dirichlet series of type $D$
Gautam Chinta and Paul E. Gunnells
Multiple Dirichlet series, L-functions and automorphic forms 300, 119--130, 2012.
arXiv | DOI
• Double Dirichlet series and theta functions
Gautam Chinta, Solomon Friedberg and Jeffrey Hoffstein
Contributions in analytic and algebraic number theory 9, 149--170, 2012.
PDF | DOI
• Complexity and heights of tori
Gautam Chinta, Jay Jorgenson and Anders Karlsson
Dynamical systems and group actions 567, 89--98, 2012.
arXiv | DOI
• Zeta functions, heat kernels, and spectral asymptotics on degenerating families of discrete tori
Gautam Chinta, Jay Jorgenson and Anders Karlsson
Nagoya Math. J. 198, 121--172, 2010.
arXiv | DOI
• Sums of $L$-functions over rational function fields
Gautam Chinta and Joel B. Mohler
Acta Arith. 144(1), 53--68, 2010.
arXiv | DOI
• Constructing Weyl group multiple Dirichlet series
Gautam Chinta and Paul E. Gunnells
J. Amer. Math. Soc. 23(1), 189--215, 2010.
arXiv | DOI
• On the $p$-parts of quadratic Weyl group multiple Dirichlet series
Gautam Chinta, Solomon Friedberg and Paul E. Gunnells
J. Reine Angew. Math. 623, 1--23, 2008.
arXiv | DOI
• Multiple Dirichlet series over rational function fields
Gautam Chinta
Acta Arith. 132(4), 377--391, 2008.
PDF | DOI
• Weyl group multiple Dirichlet series constructed from quadratic characters
Gautam Chinta and Paul E. Gunnells
Invent. Math. 167(2), 327--353, 2007.
arXiv | DOI
• Unitary periods, Hermitian forms and points on flag varieties
Gautam Chinta and Omer Offen
Math. Ann. 339(4), 891--913, 2007.
PDF | DOI
• Weyl group multiple Dirichlet series. I
Benjamin Brubaker, Daniel Bump, Gautam Chinta, Solomon Friedberg and Jeffrey Hoffstein
Multiple Dirichlet series, automorphic forms, and analytic number theory 75, 91--114, 2006.
PDF | DOI
• Multiple Dirichlet series and automorphic forms
Gautam Chinta, Solomon Friedberg and Jeffrey Hoffstein
Multiple Dirichlet series, automorphic forms, and analytic number theory 75, 3--41, 2006.
PDF | DOI
• Mean values of biquadratic zeta functions
Gautam Chinta
Invent. Math. 160(1), 145--163, 2005.
PDF | DOI
• Determination of a $\mathrm{GL}_3$ cuspform by twists of central $L$-values
Gautam Chinta and Adrian Diaconu
Int. Math. Res. Not. (48), 2941--2967, 2005.
PDF | DOI
• Asymptotics for sums of twisted $L$-functions and applications
Gautam Chinta, Solomon Friedberg and Jeffrey Hoffstein
Automorphic representations, L-functions and applications: progress and prospects 11, 75--94, 2005.
PDF | DOI
• Nonvanishing twists of GL(2) automorphic $L$-functions
Ben Brubaker, Alina Bucur, Gautam Chinta, Sharon Frechette and Jeffrey Hoffstein
Int. Math. Res. Not. (78), 4211--4239, 2004.
PDF | DOI
• Second order modular forms
G. Chinta, N. Diamantis and C. O'Sullivan
Acta Arith. 103(3), 209--223, 2002.
PDF | DOI
• Analytic ranks of elliptic curves over cyclotomic fields
Gautam Chinta
J. Reine Angew. Math. 544, 13--24, 2002.
PDF | DOI
• Grössencharakter $L$-functions of real quadratic fields twisted by modular symbols
Gautam Chinta and Dorian Goldfeld
Invent. Math. 144(3), 435--449, 2001.
PDF | DOI
• Computing special values of partial zeta functions
Gautam Chinta, Paul E. Gunnells and Robert Sczech
Algorithmic number theory (Leiden, 2000) 1838, 247--256, 2000.
PDF | DOI