Results 41 to 50 of about 166,300,132 (123)
On the half-integral weight modular forms [PDF]
, 2017 Anadolu Üniversitesi ve Bilecik Şeyh Edebali Üniversitesi tarafından ortak yürütülen program.Modüler formlar uzun yıllardır popülerliğini koruyan bir konudur. Matematik ve Fizik’in bir çok alanında önemli uygulamalara sahiptir.
Demirkol Özkaya, Zeynep
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One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
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Character sum, reciprocity, and Voronoi formula
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
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Level lowering for half-integral weight modular forms [PDF]
, 2010 In this paper we provide a level lowering result for half-integral weight modular forms. The main ingredients are the Shimura map from half-integral weight modular forms to integral weight modular forms along with a level lowering result for integral ...
Brown, Jim, Li, Yingkun
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DIVISIBILITY PROPERTIES OF COEFFICIENTS OF WEIGHT 0 WEAKLY HOLOMORPHIC MODULAR FORMS
, 2011 In 1949, Lehner showed that certain coefficients of the modular invariant j(τ) are divisible by high powers of small primes. Kolberg refined Lehner's results and proved congruences for these coefficients modulo high powers of these primes.
MICHAEL GRIFFIN
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Fourier coefficients of modular forms of half-integral weight
, 1985 Fourier coefficients of modular forms of half-integral weight. - In: Mathematische Annalen. 271. 1985. S.
Kohnen, Winfried
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P-adic analysis and mock modular forms [PDF]
, 2011 A mock modular form f+ is the holomorphic part of a harmonic Maass form f. The non-holomorphic part of f is a period integral of a cusp form g, which we call the shadow of f+.
Kent, Zachary A.
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Shimura Images of A Family of Half-Integral Weight Modular Forms [PDF]
, 2013 In 1973, Shimura introduced a family of maps between modular forms of half-integral weight and modular forms of even integral weight. We will give explicit formulas for the images of two different classes of modular forms under these maps. In contrast to
Brown, Kenneth Allan
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Regularized inner products and meromorphic modular forms
, 2017 In this talk, we consider a regularization of Petersson's inner product which is well-defined (and finite) between two meromorphic modular forms and agrees with Petersson's inner product whenever the latter exists.
Kane, BR
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