A. Diaconu, A. Perelli and A. Zaharescu, A note on GL2 converse theorems, C. R. Acad. Sci. Paris, Ser I Math. 334 (2002) 621-624.
A. Diaconu, D. Goldfeld and J. Hoffstein, Multiple Dirichlet series and moments of zeta and L-functions, Compositio Mathematica 139-3 (2003) 297-360.
A. Diaconu, Mean square values of Hecke L-series formed with r-th order characters, Inventiones Mathematicae 157 (2004) 635-684.
A. Diaconu and G. Chinta, Determination of a GL3 cuspform by twists of central L-values, International Mathematics Research Notices 48 (2005) 2941-2967.
A. Diaconu and Y. Tian, Twisted Fermat curves over totally real fields, Annals of Mathematics 162 (2005) 1353-1376.
A. Diaconu and P. Garrett, Integral moments of automorphic L-functions, Journal of the Institute of Mathematics of Jussieu 8 (2) (2009) 335-382.
A. Diaconu and P. Garrett, Subconvexity bounds for automorphic L-functions, Journal of the Institute of Mathematics of Jussieu 9 (1) (2010) 95-124.
A. Bucur and A. Diaconu, Moments of quadratic Dirichlet L-functions over rational function fields, Moscow Mathematical Journal 10 (3) (2010) 485-517.
A. Diaconu, On the third moment of L(1/2, χd) I: the rational function field case, Journal of Number Theory (Prime) 198 (2019) 1-42.
A. Diaconu and I. Whitehead, On the third moment of L(1/2, χd) II: the number field case, Journal of the European Mathematical Society (JEMS) 23 (6) (2021) 2051-2070.
A. Diaconu, Equivariant Euler characteristics of \bar{M}g,n,, Algebraic Geometry 7 (5) (2020) 523-543.
A. Diaconu and H. Twiss, Secondary terms in the asymptotics of moments of L-functions, Journal of Number Theory (Prime) 252 (2023) 243-297. Available at: https://arxiv.org/abs/2008.13297
A. Diaconu, V. Pasol, and A. Popa, Quadratic Weyl group multiple Dirichlet series of Type \tilde{D}_4, accepted for publication in the American Journal of Mathematics. Available at: https://arxiv.org/abs/2111.11062
A. Diaconu and D. Goldfeld, Second moments of quadratic Hecke L-series and multiple Dirichlet series I, Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory, Proc. Symp. Pure Math. 75 (2006) 59-89.
A. Diaconu and D. Goldfeld, Second moments of GL2 automorphic L-functions, Analytic Number Theory. A tribute to Gauss and Dirichlet, Clay Mathematics Proceedings 7 (2007) 77-105.
A. Diaconu, P. Garrett and D. Goldfeld, Natural boundaries and integral moments of L-functions, Multiple Dirichlet Series, L-Functions and Automorphic Forms, Progress in Mathematics, Birkhäuser Boston, Vol. 300 (2012) 147-172.
A. Diaconu, P. Garrett and D. Goldfeld, Moments for L-functions for GLr x GLr-1, “Contributions in Analytic and Algebraic Number Theory”, Festschrift for S. J. Patterson, Springer Proceedings in Math. Vol. 9 (2012) 197-227.
A. Diaconu and V. Pasol, Moduli of hyperelliptic curves and multiple Dirichlet series, (84 pages), submitted for publication. Available at: https://arxiv.org/abs/1808.09667
NOTE: The results presented in this paper are establishing for the first time a deep connection between the theory of multiple Dirichlet series and algebraic geometry.
J. Bergström, A. Diaconu, D. Petersen, and C. Westerland, Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions, preprint, 91 pages. Available at: https://arxiv.org/abs/2302.07664
A. Diaconu, B. Ion, V. Pasol, and A. Popa, Residues of quadratic Weyl group multiple Dirichlet series, (46 pages), submitted for publication. Available at: https://arxiv.org/abs/2307.06223
A. Diaconu, B. Ion, V. Pasol, and A. Popa, Residues of affine multiple Dirichlet series, forthcoming.
