Results 101 to 110 of about 260 (137)

Convergence and Correlations of Coefficients of Cusp Forms

open access: yes
In this thesis, we discuss aspects of lower-order statistical behavior of coefficients of GL2 automorphic forms. First, we establish two cases of recently observed correlation phenomena, referred to as “murmurations,” between root numbers and L-function ...
Zubrilina, Nina
core  

The Manin constant and $p$-adic bounds on denominators of the Fourier coefficients of newforms at cusps (Automorphic form, automorphic $L$-functions and related topics)

open access: yesThe Manin constant and $p$-adic bounds on denominators of the Fourier coefficients of newforms at cusps (Automorphic form, automorphic $L$-functions and related topics)
Joint work with K Česnavičius and M ...
openaire  

On Fourier coefficients of modular forms of half-integral weight (Analytic, geometric and $p$-adic aspects of automorphic forms and $L$-functions)

open access: yesOn Fourier coefficients of modular forms of half-integral weight (Analytic, geometric and $p$-adic aspects of automorphic forms and $L$-functions)
In my talk, I reported about recent joint work with S. Gun in which a new proof was given that for any non-zero cusp form of half-integral weight in the plus space of level 4 (not necessarily a Hecke eigenform) there exist infinitely many fundamental discriminants D such that the Fourier coefficients evaluated at IDI are non-zero.
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On the Fourier coefficients of automorphic forms of triangle groups

open access: yesOn the Fourier coefficients of automorphic forms of triangle groups
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Nonvanishing properties of Fourier coefficients for Siegel modular forms (Automorphic forms, automorphic representations and related topics)

open access: yesNonvanishing properties of Fourier coefficients for Siegel modular forms (Automorphic forms, automorphic representations and related topics)
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Oscillations of Fourier Coefficients of Cusp Forms over Primes (Automorphic Forms, Automorphic L-Functions and Related Topics)

open access: yesOscillations of Fourier Coefficients of Cusp Forms over Primes (Automorphic Forms, Automorphic L-Functions and Related Topics)
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On the growth of Fourier coefficients of Siegel modular forms (Automorphic Representations and Related Topics)

open access: yesOn the growth of Fourier coefficients of Siegel modular forms (Automorphic Representations and Related Topics)
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How many Fourier coefficients determine a holomorphic modular form? (Automorphic representations, automorphic $L$-functions and arithmetic)

open access: yesHow many Fourier coefficients determine a holomorphic modular form? (Automorphic representations, automorphic $L$-functions and arithmetic)
openaire  

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