Results 31 to 40 of about 440 (43)
On Greenberg's $L$-invariant of the symmetric sixth power of an ordinary cusp form
, 2010 We derive a formula for Greenberg's $L$-invariant of Tate twists of the symmetric sixth power of an ordinary non-CM cuspidal newform of weight $\geq4$, under some technical assumptions.
Benois +11 more
core +1 more source
Multiple period integrals and cohomology
, 2015 This work gives a version of the Eichler-Shimura isomorphism with a non-abelian $H^1$ in group cohomology. Manin has given a map from vectors of cusp forms to a noncommutative cohomology set by means of iterated integrals.
Bruggeman, Roelof, Choie, YoungJu
core +1 more source
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
core +1 more source
Distribution of modular symbols for compact surfaces
, 2003 We prove that the modular symbols appropriately normalized and ordered have an asymptotical normal distribution for all cocompact subgroups of SL_2(R).
Risager, Morten Skarsholm
core +1 more source
Noncommutative modular symbols and Eisenstein series
, 2018 We form real-analytic Eisenstein series twisted by Manin's noncommutative modular symbols. After developing their basic properties, these series are shown to have meromorphic continuations to the entire complex plane and satisfy functional equations in ...
Chinta, Gautam +2 more
core +1 more source
Totally odd depth-graded multiple zeta values and period polynomials
, 2017 Inspired by a paper of Tasaka, we study the relations between totally odd, motivic depth-graded multiple zeta values. Our main objective is to determine the rank of the matrix $C_{N,r}$ defined by Brown. We will give new proofs for (conjecturally optimal)
Dietze, Charlotte +3 more
core
On coefficients of Poincaré series and single-valued periods of modular forms. [PDF]
Res Math Sci, 2020 Fonseca TJ.
europepmc +1 more source
Hecke operators on period functions for the full modular group
, 2004 Matrix representations of Hecke operators on classical holomorphical cusp forms and corresponding period polynomials are well known. In this article we define Hecke operators on period functions and show that they correspond to the Hecke operators on ...
Mühlenbruch, Tobias
core +1 more source
On effective determination of symmetric-square lifts
Open Mathematics, 2014 Sun Qingfeng
doaj +1 more source
Rationality for isobaric automorphic representations: the CM-case. [PDF]
Mon Hefte Math, 2018 Grobner H.
europepmc +1 more source