Search Results - "Ryan, Nathan C."

Carceral algorithms and the history of control: An analysis of the Pennsylvania additive classification tool by Massaro, Vanessa A., Dhar, Swarup, Mir, Darakhshan, Ryan, Nathan C.

“…Scholars have focused on algorithms used during sentencing, bail, and parole, but little work explores what we term “carceral algorithms” that are used during…”
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Vanishing of quartic and sextic twists of L-functions by Berg, Jennifer, Ryan, Nathan C., Young, Matthew P.

“…Let E be an elliptic curve over Q . We conjecture asymptotic estimates for the number of vanishings of L ( E , 1 , χ ) as χ varies over all primitive Dirichlet…”
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Theta series and number fields: theorems and experiments by Barquero-Sanchez, Adrian, Mantilla-Soler, Guillermo, Ryan, Nathan C.

“…Let d and n be positive integers and let K be a totally real number field of discriminant d and degree n . We construct a theta series θ K ∈ M d , n , where M…”
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Explicit families of congruences for the overpartition function by Ryan, Nathan C., Sirolli, Nicolás, Villegas-Morales, Jean Carlos, Zheng, Qi-Yang

“…In this article we exhibit new explicit families of congruences for the overpartition function, making effective the existence results given previously by…”
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Analytic L-functions: Definitions, theorems, and connections by Farmer, David W., Pitale, Ameya, Ryan, Nathan C., Schmidt, Ralf

“…L-functions can be viewed axiomatically, such as in the formulation due to Selberg, or they can be seen as arising from cuspidal automorphic representations of…”
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Formulas for central values of twisted spin L-functions attached to paramodular forms by Ryan, Nathan C., Tornaría, Gonzalo, Schmidt, Ralf

“…In the 1980s Böcherer formulated a conjecture relating the central values of the imaginary quadratic twists of the spin L-function attached to a Siegel modular…”
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Efficient verification of Tunnell’s criterion by Bach, Eric, Ryan, Nathan C

“…An integern is congruent if there is a triangle with rational sides whose area isn. In the 1980s Tunnell gave an algorithm to test congruence which relied on…”
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A Network-Theoretic Analysis of Hospital Admission, Transfer, and Discharge Data by Cioffi, Maria, Mukhtar, Naba, Ryan, Nathan C, Klobusicky, Joe J

“…Comprehending complex behavior of flow within a graph is of interest to clinicians and mathematicians alike. In this study we examine admission, discharge, and…”
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SURVEY ARTICLE: CHARACTERIZATIONS OF THE SAITO-KUROKAWA LIFTING by FARMER, DAVID W., PITALE, AMEYA, RYAN, NATHAN C., SCHMIDT, RALF

“…There are a variety of characterizations of Saito-Kurokawa lifts from elliptic modular forms to Siegel modular forms of degree 2. In addition to giving a…”
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Computations of vector-valued Siegel modular forms by Ghitza, Alexandru, Ryan, Nathan C., Sulon, David

“…We carry out some computations of vector-valued Siegel modular forms of degree two, weight (k,2) and level one, and highlight three experimental results: (1)…”
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Numerical computation of a certain Dirichlet series attached to Siegel modular forms of degree two by RYAN, NATHAN C., SKORUPPA, NILS-PETER, STRÖMBERG, FREDRIK

“…The Rankin convolution type Dirichlet series D_{F,G}(s) and G and G D_{F,G}(s)-functions of eigenforms of the same weight are not linear combinations of those…”
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TESTING THE FUNCTIONAL EQUATION OF A HIGH-DEGREE EULER PRODUCT by FARMER, David W, RYAN, Nathan C, SCHMIDT, Ralf

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Searching for the unexpected – understanding information-seeking behaviours of people new to prison visits by Ryan, Nicole R., Ryan, Nathan C.

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Efficient computation of the overpartition function and applications by Barquero-Sanchez, Adrian, Collado-Valverde, Gabriel, Ryan, Nathan C., Salas-Jimenez, Eduardo, Sirolli, Nicolás, Villegas-Morales, Jean Carlos

“…In this paper we develop a method to calculate the overpartition function efficiently using a Hardy-Rademacher-Ramanujan type formula, and we use this method…”
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Congruences satisfied by eta-quotients by Ryan, Nathan C, Scherr, Zachary, Sirolli, Nicolás, Treneer, Stephanie

“…The values of the partition function, and more generally the Fourier coefficients of many modular forms, are known to satisfy certain congruences. Results…”
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Explicit families of congruences for the overpartition function by Ryan, Nathan C, Sirolli, Nicolás, Villegas-Morales, Jean Carlos, Zheng, Qi-Yang

“…The Ramanujan Journal (2025) In this article we exhibit new explicit families of congruences for the overpartition function, making effective the existence…”
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Inverting the Satake map for Spn and applications to Hecke operators by Ryan, Nathan C., Shemanske, Thomas R.

“…By compatibly grading the p -part of the Hecke algebra associated to Sp n (ℤ) and the subring of ℚ[ x 0 ±1 ,…, x n ±1 ] invariant under the associated Weyl…”
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Vanishing of Quartic and Sextic Twists of $L$-functions by Berg, Jennifer, Ryan, Nathan C, Young, Matthew P

“…Let $E$ be an elliptic curve over $\mathbf{Q}$. We conjecture asymptotic estimates for the number of vanishings of $L(E,1,\chi)$ as $\chi$ varies over all…”
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Inverting the Satake map for Sp n and applications to Hecke operators by Ryan, Nathan C., Shemanske, Thomas R.

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Analysis of the Pennsylvania Additive Classification Tool: Biases and Important Features by Dhar, Swarup, Massaro, Vanessa, Mir, Darakhshan, Ryan, Nathan C

“…The Pennsylvania Additive Classification Tool (PACT) is a carceral algorithm used by the Pennsylvania Department of Corrections in order to determine the…”
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