Gautam Chinta
Publications and preprints

• (arxiv) The discrete analogue of the Gaussian, with Jay Jorgenson, Anders Karlsson and Lejla Smajlović. To appear in Journal of Physics A.
  
  
• (arxiv) The parametrix construction of the heat kernel on a graph, with Jay Jorgenson, Anders Karlsson and Lejla Smajlović. To appear in Complex Analysis and Operator Theory.
  
  
• (arxiv) Random and mean Lyapunov exponents for GL(n,R), with D. Armentano, S. Sahi and M. Shub. To appear in Ergodic Theory and Dynamical Systems
  
  
• (arxiv) Planes in ℤ⁴ and Eisenstein series, with V. Pereira Jr. J. London Math. Soc. 108(2023), no. 6, 2415-2435.
  
  
• (arxiv) Counting subrings of ℤⁿ of nonzero corank, with S. Chimni and R. Takloo-Bighash. J. Iran. Math. Soc. 1(2020), no.2, 163-172.
  
  
• (arxiv) The cotype zeta function of ℤ^d, with N. Kaplan and S. Koplewitz. Indag. Math. (N.S.) 34(2023), no.3, 643-659.
  
  
• (arxiv) Noncommutative modular symbols and Eisenstein series, with C. O'Sullivan and I. Horozov. Contemp. Math., 732 American Mathematical Society, Providence, RI, 2019.
  
  
• (pdf) Metaplectic Demazure operators and Whittaker functions, with P. Gunnells and A. Puskás. Indiana Univ. Math. Journal. 66(2017), no.3, 1045-1064.
  
  
• (pdf) Heat kernels on regular graphs and generalized Ihara zeta function formulas, with J. Jorgenson and A. Karlsson.
  Monatsh. Math. 178 (2015), no. 2, 171.
  
  
• (pdf) Complexity and heights of tori, with J. Jorgenson and A. Karlsson.
  Dynamical systems and group actions 89-98, Contemp. Math., 567, Amer. Math. Soc., Providence, RI, 2012.
  
  
• (pdf) Double Dirichlet series and theta functions, with S. Friedberg and J. Hoffstein.
  Contributions in Analytic and Algebraic Number Theory: Festschrift for S. J. Patterson,
  149-170, Springer Proc. Math., 9, Springer, New York, 2012.
  
  
• (pdf) Crystals of Type B and Metaplectic Whittaker Functions, with B. Brubaker, D. Bump and P. Gunnells.
  Preprint.
  
  
• (pdf) Metaplectic ice, with B. Brubaker, D. Bump, S. Friedberg and P. Gunnells.
  Preprint.
  
  
• (pdf) Littelmann patterns and Weyl group multiple Dirichlet series of type D, with P. Gunnells.
  Preprint.
  
  
• (pdf) A metaplectic Casselman-Shalika formula for GL_r, with O. Offen.
  Amer. J. of Math. 135 (2013), no. 2, 403-441.
  
  
• (pdf) Orthogonal period of a GL_3(Z) Eisenstein series, with O. Offen.
  To appear in Representation Theory, Complex Analysis and Integral
  Geometry I, edited by Bernhard Krötz, Omer Offen and Eitan Sayag,
  Birkhäuser, Progress in Mathematics.
  
  
• (pdf) Zeta functions, heat kernels and spectral asymptotics on
  degenerating families of discrete tori, with J. Jorgenson and A. Karlsson.
  Nagoya Math. J. 198 (2010), 121-172.
  
  
• (pdf) Constructing Weyl group multiple Dirichlet series, with P. Gunnells.
  J. Amer. Math. Soc. 23 (2010), 189-215.
  
  
• (pdf) Sums of L-functions over rational function fields, with J. Mohler.
  Acta Arith. 144 (2010), no. 1, 53-68.
  
  
• (pdf) Weyl group multiple Dirichlet series of type A_2 , with P. Gunnells.
  Number theory, analysis and geometry, 125–142, Springer, New York, 2012.
  
  
• (pdf) Multiple Dirichlet series over rational function fields.
  Acta Arithmetica. 132 (2008), 377--391.
  
  
• (pdf) On the p-parts of quadratic Weyl group multiple Dirichlet series, with
  S. Friedberg and P. Gunnells.
  J. Reine Angew. Math. 623 (2008), 1--23.
  
  
• (pdf) Unitary periods, Hermitian forms and points on flag varieties, with O. Offen.
  Math. Ann. 339 (2007), no. 4, 891--913.
  
  
• (pdf) Weyl group multiple Dirichlet series constructed from quadratic characters,
  with P. Gunnells.
  Invent. Math. 167 (2007), no.2, 327-353.
  
  
• (pdf) Multiple Dirichlet series and automorphic forms, with S. Friedberg
  and J. Hoffstein. In Multiple Dirichlet Series, Automorphic Forms, and Analytic
  Number Theory, Proc. Sympos. Pure Math., 75, Amer. Math. Soc., Providence, RI, 2006.
  
  
• (pdf) Weyl group multiple Dirichlet series I, with B. Brubaker, D. Bump,
  S. Friedberg, J. Hoffstein. In Multiple Dirichlet Series, Automorphic Forms, and Analytic
  Number Theory, Proc. Sympos. Pure Math., 75, Amer. Math. Soc., Providence, RI, 2006.
  
  
• (pdf) Determination of a GL3 cuspform by twists of central L-values, with A. Diaconu.
  IMRN 2005 (2005), 2941-2967.
  
  
• (pdf)Asymptotics for sums of twisted L-functions and applications, with
  S. Friedberg and J. Hoffstein. In Automorphic representations, L-functions and applications:
  progress and prospects, 75--94, Ohio State Univ. Math. Res. Inst. Publ., 11, de Gruyter, Berlin, 2005.
  
  
• (pdf) Mean values of biquadratic zeta functions.
  Invent. Math. 160 (2005), no.1, 145-164.
  
  
• (pdf)Nonvanishing twists of GL(2) automorphic L-functions, with B. Brubaker,
  A. Bucur, S. Frechette and J. Hoffstein. IMRN (2004) no. 78, 4211-4239.
  
  
• Second order modular forms, with N. Diamantis and C. O' Sullivan.
  Acta Arith. 103 (2002), no. 3, 209--223.
  
  
• Analytic ranks of elliptic curves over cyclotomic fields.
  J. Reine Angew. Math. 544 (2002), 13--24.
  
  
• Grössencharakter L-functions of real quadratic fields twisted by modular
  symbols, with D. Goldfeld. Invent. Math. 144 (2001), no. 3, 435--449.
  
  
• Computing special values of partial zeta functions, with Paul Gunnells and Robert
  Sczech. Algorithmic number theory (Leiden, 2000), 247--256, Lecture Notes in Comput. Sci., 1838, Springer, Berlin, 2000.