Results 111 to 120 of about 1,005 (151)

ON THE FOURIER COEFFICIENTS OF HILBERT MODULAR FORMS OF HALF INTEGRAL WEIGHT OVER ALGEBRAIC NUMBER FIELDS (Automorphic forms, automorphic representations and automorphic $L$-functions over algebraic groups)

open access: yesON THE FOURIER COEFFICIENTS OF HILBERT MODULAR FORMS OF HALF INTEGRAL WEIGHT OVER ALGEBRAIC NUMBER FIELDS (Automorphic forms, automorphic representations and automorphic $L$-functions over algebraic groups)
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Fourier expansion of holomorphic Siegel modular forms of genus n along the minimal parabolic subgroup (Automorphic forms, automorphic representations and automorphic $L$-functions over algebraic groups)

open access: yesFourier expansion of holomorphic Siegel modular forms of genus n along the minimal parabolic subgroup (Automorphic forms, automorphic representations and automorphic $L$-functions over algebraic groups)
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ON EISENSTEIN SERIES IN THE KOHNEN PLUS SPACE FOR HILBERT MODULAR FORMS (Automorphic Forms and Related Zeta Functions)

open access: yesON EISENSTEIN SERIES IN THE KOHNEN PLUS SPACE FOR HILBERT MODULAR FORMS (Automorphic Forms and Related Zeta Functions)
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ON CONFLUENT HYPERGEOMETRIC FUNCTIONS AND REAL ANALYTIC SIEGEL MODULAR FORMS OF DEGREE 2 (Automorphic Representations and Related Topics)

open access: yesON CONFLUENT HYPERGEOMETRIC FUNCTIONS AND REAL ANALYTIC SIEGEL MODULAR FORMS OF DEGREE 2 (Automorphic Representations and Related Topics)
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ON MODULAR FORMS AND ELLIPTIC CURVES OVER $\mathbb{Q}(\zeta_5)$ (Automorphic forms, trace formulas and zeta functions)

open access: yesON MODULAR FORMS AND ELLIPTIC CURVES OVER $\mathbb{Q}(\zeta_5)$ (Automorphic forms, trace formulas and zeta functions)
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LIFTING OF PAIRS OF ELLIPTIC MODULAR FORMS TO SIEGEL MODULAR FORMS OF HALF-INTEGRAL WEIGHT OF DEGREE TWO (Automorphic forms, trace formulas and zeta functions)

open access: yesLIFTING OF PAIRS OF ELLIPTIC MODULAR FORMS TO SIEGEL MODULAR FORMS OF HALF-INTEGRAL WEIGHT OF DEGREE TWO (Automorphic forms, trace formulas and zeta functions)
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Results of double zeta values related to modular forms on full modular group and Ramanujan's formula for Bernoulli numbers (Automorphic Forms and Related Zeta Functions)

open access: yesResults of double zeta values related to modular forms on full modular group and Ramanujan's formula for Bernoulli numbers (Automorphic Forms and Related Zeta Functions)
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Automorphic symbols, p -adic L -functions and ordinary cohomology of Hilbert modular varieties

American Journal of Mathematics, 2013
We introduce the notion of automorphic symbol generalizing the classical modular symbol and use it to attach very general $p$-adic $L$-functions to nearly ordinary Hilbert automorphic forms. Then we establish an exact control theorem for the $p$-adically completed cohomology of a Hilbert modular variety localized at a suitable nearly ordinary maximal ...
Mladen Dimitrov
semanticscholar   +5 more sources

Analytic ranks of automorphic L$L$ ‐functions and Landau–Siegel zeros

Journal of the London Mathematical Society, 2023
We relate the study of Landau–Siegel zeros to the ranks of Jacobians J0(q)$J_0(q)$ of modular curves for large primes q$q$ . By a conjecture of Brumer–Murty, the rank should be equal to half of the dimension.
Hung M. Bui, Kyle Pratt, A. Zaharescu
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