Rankin-Selberg $L$-functions and the reduction of CM elliptic curves (Q290372)

scientific article; zbMATH DE number 6588385

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English	Rankin-Selberg $L$-functions and the reduction of CM elliptic curves	scientific article; zbMATH DE number 6588385

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title

Rankin-Selberg $L$-functions and the reduction of CM elliptic curves (English)

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Research in the Mathematical Sciences

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publication date

1 June 2016

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zbMATH Keywords

supersingular elliptic curves

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equidistribution

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Gross points

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Heegner points

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mean values of $L$-functions

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$L^4$ norm

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/s40687-015-0040-y

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cites work

A rigid analytic Gross-Zagier formula and arithmetic applications. (With an appendix by B. Edixhoven)

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Hybrid bounds for twisted L-functions

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Distribution of Maass of holomorphic cusp forms

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Sup-norms of Eigenfunctions on Arithmetic Ellipsoids

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$L^4$-norms of Hecke newforms of large level

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Mazur's conjecture on higher Heegner points.

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Hyperbolic distribution problems and half-integral weight Maass forms

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The critical order of vanishing of automorphic $L$-functions with large level

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Q5717206

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Averages of central $L$-values of Hilbert modular forms with an application to subconvexity

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EXACT AVERAGES OF CENTRAL VALUES OF TRIPLE PRODUCT L-FUNCTIONS

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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Q3760606

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Q3989537

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Level Aspect Subconvexity For Rankin-Selberg $L$-functions

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First moment of Rankin-Selberg central $L$-values and subconvexity in the level aspect

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Fourier coefficients of modular forms of half-integral weight

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Q4830109

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Low lying zeros of families of $L$-functions

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AVERAGES OF TWISTED -FUNCTIONS

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Equidistribution of Heegner points and ternary quadratic forms

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REPRESENTATIONS OF INTEGERS BY TERNARY QUADRATIC FORMS

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CM liftings of supersingular elliptic curves

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On quadratic character twists of Hecke $L$-functions attached to cusp forms of varying weights at the central point

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Values of L-series of modular forms at the center of the critical strip

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Upper Bounds on L-Functions at the Edge of the Critical Strip

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Subconvexity and equidistribution of Heegner points in the level aspect

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The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points

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Consequences of the Gross–Zagier formulae: Stability of average L-values, subconvexity, and non-vanishing mod p

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Q5439501

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Stable averages of central values of Rankin-Selberg $L$-functions: some new variants

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Uniform distribution of Heegner points.

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Minimal CM liftings of supersingular elliptic curves

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Identifiers

zbMATH Open document ID

1380.11060

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Mathematics Subject Classification ID

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10.1186/S40687-015-0040-Y

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Mathematics(1 entry)

mardi Publication:290372

Rankin-Selberg \(L\)-functions and the reduction of CM elliptic curves (Q290372)

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Identifiers

Sitelinks

Mathematics(1 entry)