Results 21 to 30 of about 432 (42)
Arithmetic Transfer for inner forms of $GL_{2n}$
Forum of Mathematics, SigmaWe formulate Guo–Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of $GL_{2n}$ . Our main results confirm these conjectures for division algebras of invariant $1/4$ and $3/4$ .
Qirui Li, Andreas Mihatsch
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The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces
, 2004 For a cocompact group of SL_2(R) we fix a non-zero harmonic 1-form \a. We normalize and order the values of the Poincare pairing according to the length of the corresponding closed geodesic l(gamma).
Petridis, Yiannis N. +1 more
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Hybrid Level Aspect Subconvexity for $GL(2)\times GL(1)$ Rankin-Selberg $L$-Functions
, 2018 Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P\sim M^\eta$ with $0 < \eta < 2/5$. We simplify the proof of subconvexity bounds for $L(\frac{1}{2},f\otimes\chi)$ when $f$ is a primitive holomorphic cusp form of
Aggarwal, Keshav +2 more
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Forum of Mathematics, SigmaThis article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
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, 2009 This paper continues investigations on the integral transforms of the Minkowski question mark function. In this work we finally establish the long-sought formula for the moments, which does not explicitly involve regular continued fractions, though it ...
F. Ryde +11 more
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Periods, subconvexity of L-functions and representation theory
, 2005 We describe a new method to estimate the trilinear period on automorphic representations of PGL(2,R). Such a period gives rise to a special value of the triple L-function.
Bernstein, Joseph, Reznikov, Andre
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Cohomological relation between Jacobi forms and skew-holomorphic Jacobi forms [PDF]
, 2013 Eichler and Zagier developed a theory of Jacobi forms to understand and extend Maass' work on the Saito-Kurokawa conjecture. Later Skoruppa introduced skew-holomorphic Jacobi forms, which play an important role in understanding liftings of modular forms ...
Choi, Dohoon, Lim, Subong
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An explicit Waldspurger formula for Hilbert modular forms
, 2018 We describe a construction of preimages for the Shimura map on Hilbert modular forms, and give an explicit Waldspurger type formula relating their Fourier coefficients to central values of twisted L-functions.
Sirolli, Nicolás, Tornaría, Gonzalo
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Nonvanishing of twists of $L$-functions attached to Hilbert modular forms
, 2014 We describe algorithms for computing central values of twists of $L$-functions associated to Hilbert modular forms, carry out such computations for a number of examples, and compare the results of these computations to some heuristics and predictions ...
Ryan, Nathan C. +2 more
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An algebraic property of Hecke operators and two indefinite theta series
, 2013 We prove an algebraic property of the elements defining Hecke operators on period polynomials associated with modular forms, which implies that the pairing on period polynomials corresponding to the Petersson scalar product of modular forms is Hecke ...
Pasol, Vicentiu, Popa, Alexandru A.
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