Weyl group multiple Dirichlet series constructed from quadratic characters
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Publication:870646
DOI10.1007/s00222-006-0014-1zbMath1203.11062arXivmath/0604449OpenAlexW3098030377MaRDI QIDQ870646
Paul E. Gunnells, Gautam Chinta
Publication date: 13 March 2007
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604449
Other Dirichlet series and zeta functions (11M41) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)
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Cites Work
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- Die Funktionalgleichungen einiger Dirichletscher Reihen
- Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives
- Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
- Sums of twisted GL(2) \(L\)-functions over function fields.
- Mean values of biquadratic zeta functions
- Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
- Nonvanishing theorems for automorphic \(L\)-functions on \(\text{GL} (2)\)
- Weyl group multiple Dirichlet series. III: Eisenstein series and twisted unstable \(A_r\)
- Weyl group multiple Dirichlet series. II: The stable case
- Nonvanishing theorems for L-functions of modular forms and their derivatives
- A nonvanishing theorem for derivatives of automorphic 𝐿-functions with applications to elliptic curves
- Multiple Dirichlet Series and Moments of Zeta and L-Functions
- Double Dirichlet series over function fields
- On some applications of automorphic forms to number theory
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