Results 1 to 10 of about 4,611,369 (275)
Borcherds products of half-integral weight [PDF]
Journal of Number Theory, 2022 5 ...
Haowu Wang, Brandon Williams
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On the Fourier expansions of Jacobi forms of half-integral weight [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Using the relationship between Jacobi forms of half-integral weight and vector valued modular forms, we obtain the number of components which determine the given Jacobi form of index p, p2 or pq, where p and q are odd primes.
B. Ramakrishnan, Brundaban Sahu
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Coefficients of half-integral weight modular forms [PDF]
Journal of Number Theory, 2003 Inspired by Kolyvagin's celebrated work on the Birch and Swinnerton-Dyer Conjecture and works of Waldspurger, Kohnen and Zagier relating the Fourier coefficients of half-integral weight Hecke eigenforms to values of modular \(L\)-functions (there have been a number of works on the indivisibility of the coefficients of half-integral weight modular forms)
Bruinier, Jan H., Ono, Ken
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Lifting congruences to half-integral weight [PDF]
Research in Number Theory, 2022 Let \(\kappa \geq 6\) be an even integer and suppose that \(f\) and \(g\) be normalized newforms of weight \(\kappa\) for a subgroup of modular forms of odd and square-free level. Then in the paper under review, with the help of Saito-Kurokawa lifts and under weak conditions, the authors show that there exists an interesting congruence of Fourier ...
Neil Dummigan
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Fast computation of half-integral weight modular forms [PDF]
Rocky Mountain Journal of Mathematics, 2022 To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to have a large number of Fourier coefficients. In this article, we exhibit three bases for the space of modular forms of any half-integral weight and level 4, which have the property that many coefficients can be computed (relatively ...
Ilker Inam
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Hecke operators in half-integral weight [PDF]
Journal de théorie des nombres de Bordeaux, 2015 In [6], Shimura introduced modular forms of half-integral weight, their Hecke algebras and their relation to integral weight modular forms via the Shimura correspondence. For modular forms of integral weight, Sturm’s bounds give generators of the Hecke algebra as a module.
Soma Purkait, Purkait, Soma
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On the real zeroes of half-integral weight Hecke cusp forms. [PDF]
Math AnnAbstract We examine the distribution of zeroes of half-integral weight Hecke cusp forms on the manifold $$\Gamma _0(4)\backslash \mathbb H$$
Jääsaari J.
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Quantum unique ergodicity for half-integral weight automorphic forms
Duke Mathematical Journal, 2020 We investigate the analogue of the quantum unique ergodicity (QUE) conjecture for half-integral weight automorphic forms. Assuming the generalized Riemann hypothesis (GRH), we establish both QUE for half-integral weight Hecke Maa beta cusp forms for ...
Stephen Lester, Maksym Radziwiłł
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On asymptotic behaviour at infinity and the finite section for integral equations on the half-line [PDF]
, 1994 We consider integral equations on the half-line of the form and the finite section approximation to x obtained by replacing the infinite limit of integration by the finite limit β.
Chandler-Wilde, SN
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Asymptotic behaviour at infinity of solutions of second kind integral equations on unbounded regions of Rn [PDF]
, 1994 We consider second kind integral equations of the form x(s) - (abbreviated x - K x = y ), in which Ω is some unbounded subset of Rn. Let Xp denote the weighted space of functions x continuous on Ω and satisfying x (s) = O(|s|-p ),s → ∞We show that if the
Peplow, AT, Chandler-Wilde, SN
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