Gautam Chinta
Publications and preprints
- (pdf) Zeta functions,
heat kernels and spectral asymptotics on degenerating
families of
discrete tori, with J. Jorgenson and A. Karlsson.
Preprint.
- (pdf) Constructing Weyl group
multiple Dirichlet series, with P. Gunnells.
Preprint.
- (pdf) Sums of L-functions over the rational
function field, with J. Mohler.
Preprint.
- (pdf)
Weyl group multiple Dirichlet series of type A_2 , with P. Gunnells.
Preprint.
- (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.