Gautam Chinta
Publications and preprints
- (pdf) Complexity and heights of tori,
with J. Jorgenson and A. Karlsson.
Preprint.
- (pdf) Double Dirichlet series and theta functions, with S. Friedberg and J. Hoffstein.
To appear in
Contributions in Analytic and Algebraic Number Theory: Festschrift for S. J. Patterson.
- (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.
To appear in Amer. J. of Math.
- (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.
To appear in a special volume in honor of Serge Lang.
- (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.