Results 101 to 110 of about 3,473,158 (260)
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
Eisenstein series on loop groups [PDF]
Transactions of the American Mathematical Society, 2014 Based on Garland’s work, in this paper we construct the Eisenstein series on the adelic loop groups over a number field, induced from either a cusp form or a quasi-character which is assumed to be unramified. We compute the constant terms and prove their absolute and uniform convergence under the affine analog of Godement’s criterion.
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Behavioral Sciences &the Law, Volume 43, Issue 4, Page 385-400, July/August 2025.ABSTRACT Prior theoretical and empirical research examining the influence of sex on sentencing has been primarily concerned with the sex of the offender, as opposed to the victim. The present study drew on a convenience sample of males (n = 1190) in state and federal correctional facilities across the country, examining minimum sentences in relation to
Shawn M. Rolfe +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
core +1 more source
Theta correspondence for Eisenstein series
Mathematische Zeitschrift, 1991 The authors study the theta correspondence between automorphic forms on the symplectic and the split orthogonal group. Their main interest is the lifting of Eisenstein series between these groups. Since the usual integral against a theta kernel does not converge in this case they have to apply a suitable differential operator to it to make the integral
Krieg, Aloys, Deitmar, Anton
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ChemPlusChem, Volume 90, Issue 7, July 2025.The high fluorine content in per‐ and polyfluoroalkyl substances (PFAS) gives them unique properties, leading to their widespread use in industrial applications and consumer products, but also creating environmental challenges . A thorough understanding of PFAS fluorine chemistry is crucial for developing effective concentration technologies ...
Anne Lobitz +3 more
wiley +1 more source
Fourier expansions of complex-valued Eisenstein series on finite upper half planes
International Journal of Mathematics and Mathematical Sciences, 2006 We consider complex-valued modular forms on finite upper half planes Hq and obtain Fourier expansions of Eisenstein series invariant under the groups Γ=SL(2,Fp) and GL(2,Fp).
Anthony Shaheen, Audrey Terras
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Eisenstein series and Cartan groups [PDF]
Illinois Journal of Mathematics, 1987 The principal congruence subgroup \(\Gamma\) (N) has an Eisenstein series associated to it at each cusp, which admits a Fourier expansion at each other cusp. This results in a matrix, whose determinant plays a key role in the theory, mostly due to its appearance in the trace formula. This paper introduces C(N), the Cartan subgroup of \(GL_ 2({\mathbb{Z}
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Civilian behavior on social media during civil war
American Journal of Political Science, Volume 69, Issue 3, Page 1099-1114, July 2025.Abstract Recent research emphasizes social media's potential for citizens to express shared grievances. In active conflict, however, social media posts indicating political loyalties can pose severe risks to civilians. We develop a theory that explains how civilians modify their online behavior as part of efforts to improve their security during ...
Anita R. Gohdes +1 more
wiley +1 more source
On the common zeros of quasi-modular forms for Γ+0(N) of level N = 1, 2, 3
Open MathematicsIn this article, we study common zeros of the iterated derivatives of the Eisenstein series for Γ0+(N){\Gamma }_{0}^{+}\left(N) of level N=1,2,and2,N=1,2, and 3, which are quasi-modular forms.
Im Bo-Hae, Kim Hojin, Lee Wonwoong
doaj +1 more source