Central values of Rankin $L$-series over real quadratic fields
By Alexandru Popa. Compositio Mathematica, 2006
78 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/17abef3efa2a4c30e5efff78046233f3ce9799d6
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In Algebra and Number Theory
- Akshay Venkatesh
- Gergely Harcos
- P. Michel
- V. Blomer
- Manfred Einsiedler
- D. Whitehouse
- Kimball Martin
- Elon Lindenstrauss
In Geometry and Topology
- Akshay Venkatesh
- P. Michel
- Manfred Einsiedler
- Gergely Harcos
- Elon Lindenstrauss
- D. Whitehouse
- Kimball Martin
- V. Blomer
In Mathematical Physics
- Akshay Venkatesh
- P. Michel
- Manfred Einsiedler
- Gergely Harcos
- Elon Lindenstrauss
- V. Blomer
- D. Whitehouse
- Kimball Martin
Citations in the corpus
- The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II (2006, result): “thesis, Popa [ P03 ] established formulae analogous to those of Gross–Zagier and Zhang: for example, his formulae relate the central values of Rankin–Selberg L-functions (of automorphic forms against theta functions attached to narrow class group characters of a real quadratic field) to some (twiste”
- On the Fourier coefficients of modular forms of half-integral weight (2009, methodology): “1 follows now from the computations above, those in [5], Thm.”
- The distribution of periodic torus orbits on homogeneous spaces (2006, background): “[ 15 ] and [31] for such results with arithmetic consequences).”
- Central L-Values and Toric Periods for GL(2) (2009, methodology): “) For real quadratic extensions, Popa [19] obtained a formula for L(1/2,πE ⊗") in terms of the Gross–Prasad test vector when F = Q, E is a real quadratic field, π has even weight with square-free level prime to the discriminant of E , and " is unramified.”
- Equidistribution, L-functions and ergodic theory: on some problems of Yu. Linnik (2006, background): “Thanks to the work of many people ([12], [36], [37], [47], [50], [66], [78], [80], [81]) notably Gross, Zagier and Zhang such an expression is by now available in considerable generality.”
- Distribution of periodic torus orbits and Duke's theorem for cubic fields (2007, unknown): “[38] A. A. Popa, Central values of Rankin L-series over real quadratic fields, Compositio.”