Results 81 to 90 of about 52,441 (236)
Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
Open Mathematics, 2017 The convolution sum, ∑(l,m)∈N02αl+βm=nσ(l)σ(m), $ \begin{array}{} \sum\limits_{{(l\, ,m)\in \mathbb{N}_{0}^{2}}\atop{\alpha \,l+\beta\, m=n}} \sigma(l)\sigma(m), \end{array} $ where αβ = 22, 44, 52, is evaluated for all natural numbers n. Modular forms
Ntienjem Ebénézer
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Non-holomorphic modular forms from zeta generators
Journal of High Energy PhysicsWe study non-holomorphic modular forms built from iterated integrals of holomorphic modular forms for SL(2, ℤ) known as equivariant iterated Eisenstein integrals.
Daniele Dorigoni +7 more
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A p-adic Eisenstein measure for unitary groups
, 2013 We construct a p-adic Eisenstein measure with values in the space of p-adic automorphic forms on certain unitary groups. Using this measure, we p-adically interpolate certain special values of both holomorphic and non-holomorphic Eisenstein series, as ...
Eischen, Ellen E.
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Birth Defects Research, Volume 117, Issue 9, September 2025.ABSTRACT Certain medications, when used during pregnancy, are known to impact human prenatal development. Historically, little attention has been given to the impact of in utero exposure on the developing brain, despite the significance of known teratogen‐induced neurodevelopmental difficulties.
M. Bluett‐Duncan +14 more
wiley +1 more source
Slapstick Classicism: Chaplin among the Sculptures
Critical Quarterly, Volume 67, Issue 4, Page 42-64, December 2025.
James Reath
wiley +1 more source
Faber's socle intersection numbers via Gromov–Witten theory of elliptic curve
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2698-2707, September 2025.Abstract The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of Mg$\mathcal {M}_g$. This new proof exhibits a new beautiful tautological relation that stems from the recent work of Oberdieck–Pixton on the Gromov–Witten theory of the elliptic curve via a refinement of ...
Xavier Blot +2 more
wiley +1 more source
p-adic elliptic polylogarithm, p-adic Eisenstein series and Katz measure [PDF]
, 2007 The specializations of the motivic elliptic polylog are called motivic Eisenstein classes. For applications to special values of L-Functions, it is important to compute the realizations of these classes.
Bannai, Kenichi, Kings, Guido
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Triple sums of Kloosterman sums and the discrepancy of modular inverses
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We investigate the distribution of modular inverses modulo positive integers c$c$ in a large interval. We provide upper and lower bounds for their box, ball, and isotropic discrepancy, thereby exhibiting some deviations from random point sets. The analysis is based, among other things, on a new bound for a triple sum of Kloosterman sums.
Valentin Blomer +2 more
wiley +1 more source
Virasoro blocks and quasimodular forms
Journal of High Energy Physics, 2020 We analyse Virasoro blocks in the regime of heavy intermediate exchange (h p → ∞). For the 1-point block on the torus and the 4-point block on the sphere, we show that each order in the large-h p expansion can be written in closed form as polynomials in ...
Diptarka Das +2 more
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