Search Results - "AUTOMORPHIC forms"

Theta correspondences and arithmetic intersections

Authors: Gutiérrez Terradillos, Armando

Contributors: University/Department: Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística

Thesis Advisors: Rotger Cerdà, Víctor, Freixas i Montplet, Gerard

Source: TDX (Tesis Doctorals en Xarxa)

Subject Terms: Automorphic forms, Special values of automorphic L-series, Periods of automorphic forms, Automorphic representations over local and global fields, Theta series, Formas automorfas, Valores especiales de funciones L, Periodos de formas automorfas, Representaciones automorfas sobre cuerpos locales y globales, Funciones theta, Àrees temàtiques de la UPC::Matemàtiques i estadística

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/689861
https://dx.doi.org/10.5821/dissertation-2117-400812

Ibukiyama correspondences on automorphic forms on [formula omitted] and [formula omitted] generating large discrete series representations at the real place.

Authors: Ishimoto, Hiroshi¹ (AUTHOR) ishimoto.hiroshi.55m@gmail.com

Source: Journal of Number Theory. Dec2025, Vol. 277, p63-104. 42p.

Subject Terms: *AUTOMORPHIC forms, *MODULAR forms, *MODULAR groups, *INTEGRALS

Joint cubic moment of Eisenstein series and Hecke-Maass cusp forms.

Authors: Guo, Chengliang¹ (AUTHOR) chengliang.guo@mail.sdu.edu.cn

Source: Journal of Number Theory. Nov2025, Vol. 276, p162-197. 36p.

Subject Terms: *AUTOMORPHIC forms, *LOGICAL prediction

Generation of cyclotomic Hecke fields by L-values of cusp forms on GL(2) with certain [formula omitted] twist.

Authors: Kwon, Jaesung¹ (AUTHOR) jaesungkwon@snu.ac.kr

Source: Journal of Number Theory. Nov2025, Vol. 276, p115-138. 24p.

Subject Terms: *AUTOMORPHIC forms, *CYCLOTOMIC fields

On the non-vanishing of Poincaré series on irreducible bounded symmetric domains.

Authors: Žunar, Sonja¹ (AUTHOR) szunar@geof.hr

Source: International Journal of Number Theory. Nov2025, Vol. 21 Issue 10, p2255-2280. 26p.

Subject Terms: *POINCARE series, *AUTOMORPHIC forms, *SYMMETRIC domains, *UNITARY groups, *MATRICES (Mathematics)

Equidistribution of Hecke orbits on the Picard group of definite Shimura curves.

Authors: Alvarado, Matias Pérez-Piña, Patricio

Source: Journal of Number Theory. Jan2026, Vol. 278, p715-725. 11p.

Subject Terms: *DRINFELD modules, *AUTOMORPHIC forms, *PICARD groups, *FUNCTION algebras, *ORBITS (Astronomy)

On wavefront sets of global Arthur packets of classical groups: Upper bound.

Authors: Jiang, Dihua Liu, Baiying

Source: Journal of the European Mathematical Society (EMS Publishing). 2025, Vol. 27 Issue 9, p3841-3888. 48p.

Subject Terms: *AUTOMORPHIC forms, *ORBITS (Astronomy), *LOGICAL prediction, *CLASSIFICATION

Rational approximation and certain exponential sums of Fourier coefficients of cusp forms.

Authors: Acharya, Ratnadeep¹ (AUTHOR) ratnadeepacharya87@gmail.com

Source: International Journal of Number Theory. Aug2025, p1-12. 12p.

Subject Terms: *EXPONENTIAL sums, *AUTOMORPHIC forms, *FOURIER analysis, *IRRATIONAL numbers, *NUMBER theory

Non-vanishing mod p of theta lifts for (O2n+1, Mp4n )

Authors: Zhang, Xiaoyu¹ (AUTHOR) xiaoyu.zhang@uni-due.de

Source: Forum Mathematicum. Aug2025, p1. 51p.

Subject Terms: *AUTOMORPHIC forms, *MODULAR arithmetic, *SYMPLECTIC groups, *MATHEMATICS, *TORIC varieties

Second Moment of Degree Three L-Functions.

Authors: Pal, Sampurna¹ (AUTHOR)

Source: IMRN: International Mathematics Research Notices. Aug2025, Vol. 2025 Issue 15, p1-37. 37p.

Subject Terms: *L-functions, *AUTOMORPHIC forms, *ANALYTIC number theory

Local Integral Transforms and Global Spectral Decomposition.

Authors: Blomer, Valentin Jana, Subhajit Nelson, Paul D.

Source: Geometric & Functional Analysis. Aug2025, Vol. 35 Issue 4, p1051-1107. 57p.

Subject Terms: *INTEGRAL transforms, *AUTOMORPHIC forms, *MATHEMATICAL transformations, *AUTOMORPHIC functions, *SPECTROMETRY, *LOCAL fields (Algebra)

Orthogonality relations for Poincaré series

Authors: Žunar, Sonja

Source: Mathematical communications. 30:161-169

Subject Terms: Petersson inner product, Mathematics - Number Theory, FOS: Mathematics, orthogonality relations, Number Theory (math.NT), Representation Theory (math.RT), automorphic forms, Poincaré series, Siegel cusp forms, Mathematics - Representation Theory, 11F70, 11F46

File Description: application/pdf

Access URL: http://arxiv.org/abs/2501.17832

Uniform bounds for Kloosterman sums of half-integral weight, same-sign case

Authors: Qihang Sun

Source: Journal of Number Theory. 274:104-139

Subject Terms: Fourier coefficients of automorphic forms, Mathematics - Number Theory, Spectral theory, trace formulas (e.g., that of Selberg), FOS: Mathematics, Kloosterman sum, Kuznetsov trace formula, Number Theory (math.NT), Gauss and Kloosterman sums, generalizations, Forms of half-integer weight, nonholomorphic modular forms, Maass form, 11L05, 11F37

File Description: application/xml

Access URL: http://arxiv.org/abs/2309.05233
https://zbmath.org/8011964
https://doi.org/10.1016/j.jnt.2024.11.012

Global theta lifting and automorphic periods associated to nilpotent orbits.

Authors: Wang, Bryan Peng Jun¹ (AUTHOR) bwang@u.nus.edu

Source: Journal of Number Theory. Jun2025, Vol. 271, p122-149. 28p.

Subject Terms: *AUTOMORPHIC forms, *ORBITS (Astronomy), *INTEGRALS

Lp‐norm bounds for automorphic forms via spectral reciprocity.

Authors: Humphries, Peter Khan, Rizwanur

Source: Proceedings of the London Mathematical Society. Jun2025, Vol. 130 Issue 6, p1-80. 80p.

Subject Terms: *AUTOMORPHIC forms, *L-functions, *EIGENFUNCTIONS, *SPECTRAL theory

Modular invariant Starobinsky inflation and the Species Scale.

Authors: Casas, Gonzalo F. Ibáñez, Luis E.

Source: Journal of High Energy Physics. Apr2025, Vol. 2025 Issue 4, p1-24. 24p.

Subject Terms: *AUTOMORPHIC forms, *INFLATIONARY universe, *MODULI theory, *MODULAR forms, *NUMBERS of species

New results on modular forms and Fermat-type equations

Authors: Soto Ballesteros, Eduardo

Contributors: University/Department: Universitat de Barcelona. Departament de Matemàtiques i Informàtica

Thesis Advisors: Dieulefait, Luis, Miró-Roig, Rosa M. (Rosa Maria)

Source: TDX (Tesis Doctorals en Xarxa)

Subject Terms: Teoria de nombres, Teoría de números, Number theory, Teorema de Fermat, Fermat's theorem, Congruències i residus, Congruencias y residuos, Congruences and residues, Teoria de Galois, Teoría de Galois, Galois theory, Arrels de la unitat, Raíces de la unidad, Cyclotomy, Formes automòrfiques, Formas automórficas, Automorphic forms, Ciències Experimentals i Matemàtiques

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/667974

Vanishing theorems for Shimura varieties at unipotent level

Authors: Caraiani, Ana Gulotta, Daniel R. Johansson, Christian

Source: Journal of the European Mathematical Society. 25(3):869-911

Subject Terms: p-adic automorphic forms, perfectoid spaces, Locally symmetric spaces

File Description: electronic

Access URL: https://research.chalmers.se/publication/535687
https://research.chalmers.se/publication/535687/file/535687_Fulltext.pdf

On computing the Newton polygons of plus and minus p-adic L-functions: On computing the Newton polygons of plus and minus \(p\)-adic \(L\)-functions

Authors: Balakrishnan, Sai Sanjeev Lei, Antonio Palvannan, Bharathwaj

Source: Involve a Journal of Mathematics, vol 18, iss 3

Subject Terms: Elliptic curves over global fields, elliptic curves, supersingular primes, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Iwasawa theory

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/8035380
https://doi.org/10.2140/involve.2025.18.401
https://escholarship.org/content/qt2n92v6vc/qt2n92v6vc.pdf
https://escholarship.org/uc/item/2n92v6vc

Construction and non-vanishing of a family of vector-valued Siegel Poincaré series

Authors: Sonja Žunar

Source: Journal of Number Theory. 268:95-123

Subject Terms: 11F03, 11F46, Mathematics - Number Theory, Siegel modular groups, Siegel and Hilbert-Siegel modular and automorphic forms, Poincaré series, Siegel cusp forms, Modular and automorphic functions, vector-valued Siegel modular forms, Siegel Poincaré series, cuspidal automorphic forms, FOS: Mathematics, non-vanishing of Poincaré series, Number Theory (math.NT), Representation Theory (math.RT), Mathematics - Representation Theory

File Description: application/xml

Access URL: http://arxiv.org/abs/2405.02966
https://zbmath.org/7956624
https://doi.org/10.1016/j.jnt.2024.09.007