Efficient Computation of Rankin p-Adic L-Functions

DOI10.1007/978-3-319-03847-6_7zbMath1359.11055arXiv1310.4421OpenAlexW1596565666MaRDI QIDQ5498945

Alan G. B. Lauder

Publication date: 11 February 2015

Published in: Contributions in Mathematical and Computational Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4421

zbMATH Keywords

\(L\)-functionsoverconvergent formsKatz expansions

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Zeta and (L)-functions in characteristic (p) (11M38) Analytic computations (11Y35)

Related Items (13)

STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE ⋮ Elliptic curves of rank two and generalised Kato classes ⋮ Gross-Stark units and \(p\)-adic iterated integrals attached to modular forms of weight one ⋮ Codimension two cycles in Iwasawa theory and tensor product of Hida families ⋮ Derivatives of Beilinson-Flach classes, Gross-Stark formulas and a \(p\)-adic Harris-Venkatesh conjecture ⋮ Stark points on elliptic curves via Perrin-Riou's philosophy ⋮ Stark points and the Hida-Rankin \(p\)-adic \(L\)-function ⋮ Beilinson-Flach elements, Stark units and \(p\)-adic iterated integrals ⋮ Syntomic regulators of Asai-Flach classes ⋮ Euler systems for Rankin-Selberg convolutions of modular forms ⋮ Special values of triple-product \(p\)-adic L-functions and non-crystalline diagonal classes ⋮ Rank-two Euler systems for symmetric squares ⋮ Computing 𝑝-adic L-functions of totally real fields

Cites Work

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• Arithmetic of p-adic modular forms
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• Efficient calculation of Stark-Heegner points via overconvergent modular symbols
• Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula
• Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functions
• Computations with classical and p-adic modular forms
• STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE
• Algorithms for Chow-Heegner points via iterated integrals
• Overconvergent modular symbols and $p$-adic $L$-functions
• Classical and overconvergent modular forms

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