Nathan Ryan

External Researcher

Member of the group since 2009

Nathan Ryan is a Professor of Mathematics at Bucknell University

Publications

Repulsion of zeros close to s=1/2 for L-functionsJournal of Experimental Mathematics2026
Nicolás Coloma, Maria Espericueta Sandoval, Erika Lopez, Francisco Ponce, Gustavo Rama, Nathan Ryan, Alejandro Vargas-AltamiranoArticle
Explicit families of congruences for the overpartition functionRamanujan J. 65, No. 4, 1631-1649 (2024)2024
Nathan Ryan, Nicolás Sirolli, Jean Carlos Villegas-Morales, Qi Yang ZhengArticle
Efficient computation of the overpartition function and applicationsJ. Math. Anal. Appl. 528, No. 1, Article ID 127472, 22 p. (2023)2023
Adrian Barquero-Sanchez, Gabriel Collado-Valverde, Nathan Ryan, Eduardo Salas-Jimenez, Nicolás Sirolli, Jean Carlos Villegas-MoralesArticle
Congruences satisfied by eta-quotientsProc. Am. Math. Soc. 149, No. 3, 1039-1051 (2021)2021
Nathan Ryan, Zachary Scherr, Nicolás Sirolli, Stephanie TreneerArticle
Formulas for central critical values of twisted L-functions attached to paramodular formsMath. Comp. 85, No. 298, 907-9292016
Nathan Ryan, Gonzalo TornaríaArticle
Explicit computations of Siegel modular forms of degree twohttp://arxiv.org/abs/1205.62552012
Martin Raum, Nathan Ryan, Nils-Peter Skoruppa, Gonzalo TornaríaArticle
Siegel modular forms (paquete de software para Sage)https://trac.sagemath.org/ticket/87012012
Alex Ghitza, Martin Raum, Nathan Ryan, Nils-Peter Skoruppa, Gonzalo TornaríaSoftware / tool
A Böcherer-Type Conjecture for Paramodular FormsInternational Journal of Number Theory 7, no. 5 (2011) 1395-14112011
Nathan Ryan, Gonzalo TornaríaArticle

Projects

El problema de la base para formas modulares de Hilbert de peso medio entero

ANII FCE 2017

1 April 2018 – 31 March 2021 8

Formas modulares de Siegel: valores centrales de funciones L de grado alto, y generalizaciones de la conjetura de Böcherer

Lead CSIC I+D 2012

1 January 2013 – 31 December 2014 5

Formas modulares: coeficientes de Fourier y valores centrales de L-series

ANII FCE 2009

1 January 2011 – 31 December 2012 5

Courses

Graduate Funciones L y formas modulares: aspectos teóricos y computacionales
- 2013
Graduate Teoría de números experimental
- 2009