Some observations on the arithmetic of Eisenstein series for the modular group \(\text{SL}(2,\mathbb{Z})\)

DOI10.1007/PL00000465zbMath0994.11019OpenAlexW1990333151MaRDI QIDQ5946015

Ernst-Ulrich Gekeler

Publication date: 1 October 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000465

zbMATH Keywords

Eisenstein seriesBernoulli numbermodular congruence

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)

Related Items (17)

Higher Weierstrass points on $X_{0}(p)$ ⋮ Stieltjes interlacing of the zeros of ⋮ A STIELTJES SEPARATION PROPERTY OF ZEROS OF EISENSTEIN SERIES ⋮ On interlacing of the zeros of a certain family of modular forms ⋮ Irreducibility of the zero polynomials of Eisenstein series ⋮ On the interlacing of the zeros of certain Poincaré cusp forms ⋮ Interlacing properties for zeros of a family of modular forms ⋮ Zeroes of Eisenstein series for principal congruence subgroups over rational function fields ⋮ Monomials of Eisenstein series ⋮ Zeros of some level 2 Eisenstein series ⋮ On Drinfeld modular forms of higher rank. III: The analogue of the \(k/12\)-formula ⋮ Interlacing of zeros of weakly holomorphic modular forms ⋮ Location of the zeros of certain cuspforms ⋮ \(p\)-adic liftings of the supersingular \(j\)-invariants and \(j\)-zeros of certain Eisenstein series ⋮ Divisibility of an eigenform by an eigenform ⋮ A series of new congruences for Bernoulli numbers and Eisenstein series ⋮ INTERLACING OF ZEROS OF EISENSTEIN SERIES

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