Rankin-Selberg without unfolding and bounds for spherical Fourier coefficients of Maass forms
, 2007 We use the uniqueness of various invariant functionals on irreducible unitary representations of PGL(2,R) in order to deduce the classical Rankin-Selberg identity for the sum of Fourier coefficients of Maass cusp forms and its new anisotropic analog.
Reznikov, Andre
core +1 more source
Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of $p$-adic $L$-functions
, 2018 We study the derivative of the standard $p$-adic $L$-function associated with a $P$-ordinary Siegel modular form (for $P$ a parabolic subgroup of $\mathrm{GL}(n)$) when it presents a semi-stable trivial zero.
Liu, Zheng, Rosso, Giovanni
core
Iwasawa Main Conjecture for Supersingular Elliptic Curves and BSD conjecture
, 2019 In this paper we prove the $\pm$-main conjecture of Iwasawa theory formulated by Kobayashi for elliptic curves with supersingular reduction at an odd prime $p$ such that $a_p=0$, using a key new observation that it can be reduced to another Iwasawa ...
Wan, Xin
core
Kabirian-based optinalysis: A conceptually grounded framework for symmetry/asymmetry, similarity/dissimilarity and identity/unidentity estimations in mathematical structures and biological sequences. [PDF]
MethodsX, 2023 Abdullahi KB.
europepmc +1 more source
Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]
Res Number Theory, 2022 Assaf E +5 more
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Modular knots, automorphic forms, and the Rademacher symbols for triangle groups. [PDF]
Res Math Sci, 2023 Matsusaka T, Ueki J.
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A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales. [PDF]
Entropy (Basel), 2021 Wang C, Agarwal RP.
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Irreducibility of limits of Galois representations of Saito-Kurokawa type. [PDF]
Res Number Theory, 2021 Berger T, Klosin K.
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An Euler system for GU(2, 1). [PDF]
Math Ann, 2022 Loeffler D, Skinner C, Zerbes SL.
europepmc +1 more source