https://openreview.net/forum?id=tfGuvCp50e
Expressivity of Shallow Neural Networks Over Finite Fields | OpenReview
We study the expressivity of shallow polynomial neural networks (PNNs) with monomial activation functions over finite fields. For a given architecture, we...
neural networksfinite fieldsexpressivityshallowopenreview
https://arxiv.org/abs/2107.02257v1
[2107.02257v1] Standard Generators of Finite Fields and their Cyclic Subgroups
Abstract page for arXiv paper 2107.02257v1: Standard Generators of Finite Fields and their Cyclic Subgroups
finite fields2107standardgenerators
https://arxiv.org/abs/math/0003195
[math/0003195] Random matrix theory over finite fields: a survey
Abstract page for arXiv paper math/0003195: Random matrix theory over finite fields: a survey
random matrix theoryfinite fieldsmathsurvey
https://www.ias.edu/video/pseudo-mini/kopparty
The Correlation of Multiplicative Characters with Polynomials over Finite Fields | Videos |...
May 4, 2011 - This talk will focus on the complexity of the cubic-residue (and higher-residue) characters over GF(2^n) , in the context of both arithmetic circuits and...
finite fieldscorrelationmultiplicativecharacters
https://www.preprints.org/manuscript/202505.2118/v3
Relativistic Algebra over Finite Fields[v3] | Preprints.org
We present a formal reconstruction of the conventional number systems, including integers, rationals, reals, and complex numbers, based on the principle of...
finite fieldsrelativisticalgebrav3preprints
https://www.kth.se/math/kalender/jakob-stix-categories-of-abelian-varieties-over-finite-fields-1.1166088?date=2022-05-04&orgdate=2022-03-01&length=1&orglength=306
Jakob Stix: Categories of abelian varieties over finite fields | KTH
jakob stixabelian varietiesfinite fieldscategorieskth
https://arxiv.org/abs/2506.13706
[2506.13706] Weil polynomials of abelian varieties over finite fields
Abstract page for arXiv paper 2506.13706: Weil polynomials of abelian varieties over finite fields
abelian varieties250613706weilpolynomials
https://arxiv.org/abs/1911.03427
[1911.03427] Induced arithmetic removal: complexity 1 patterns over finite fields
Abstract page for arXiv paper 1911.03427: Induced arithmetic removal: complexity 1 patterns over finite fields
191103427inducedarithmeticremoval
https://arxiv.org/abs/2201.06232
[2201.06232] $k$-Diophantine $m$-tuples in Finite Fields
Abstract page for arXiv paper 2201.06232: $k$-Diophantine $m$-tuples in Finite Fields
220106232kdiophantinetuples
https://www.unsw.edu.au/science/our-schools/maths/engage-with-us/seminars/2015/generalising-agm-point-counting-elliptic-curves-over-large-finite-fields-small
Generalising AGM point-counting for elliptic curves over large finite fields of small...
https://arxiv.org/abs/2007.16082
[2007.16082] Multiplication in finite fields with Chudnovsky-type algorithms on the projective line
Abstract page for arXiv paper 2007.16082: Multiplication in finite fields with Chudnovsky-type algorithms on the projective line
https://arxiv.org/abs/2007.13214
[2007.13214] Computing zeta functions of large polynomial systems over finite fields
Abstract page for arXiv paper 2007.13214: Computing zeta functions of large polynomial systems over finite fields
zeta functions
https://arxiv.org/abs/1110.2124
[1110.2124] The Degree and regularity of vanishing ideals of algebraic toric sets over finite fields
Abstract page for arXiv paper 1110.2124: The Degree and regularity of vanishing ideals of algebraic toric sets over finite fields
https://arxiv.org/abs/2202.10427
[2202.10427] Dichotomous point counts over finite fields
Abstract page for arXiv paper 2202.10427: Dichotomous point counts over finite fields
220210427dichotomouspointcounts
https://arxiv.org/abs/1203.1893
[1203.1893] Lower central series of a free associative algebra over the integers and finite fields
Abstract page for arXiv paper 1203.1893: Lower central series of a free associative algebra over the integers and finite fields
https://arxiv.org/abs/0801.1601
[0801.1601] Isomorphisms of unitary forms of Kac-Moody groups over finite fields
Abstract page for arXiv paper 0801.1601: Isomorphisms of unitary forms of Kac-Moody groups over finite fields
https://arxiv.org/abs/2001.10874
[2001.10874] Cyclic abelian varieties over finite fields in ordinary isogeny classes
Abstract page for arXiv paper 2001.10874: Cyclic abelian varieties over finite fields in ordinary isogeny classes
abelian varieties
https://arxiv.org/abs/2312.06636v3
[2312.06636v3] Spherical higher order Fourier analysis over finite fields III: a spherical Gowers...
Abstract page for arXiv paper 2312.06636v3: Spherical higher order Fourier analysis over finite fields III: a spherical Gowers inverse theorem
https://arxiv.org/abs/2110.15925
[2110.15925] Finite Callan-Symanzik renormalisation for multiple scalar fields
Abstract page for arXiv paper 2110.15925: Finite Callan-Symanzik renormalisation for multiple scalar fields
2110finitecallansymanzikrenormalisation
https://arxiv.org/abs/1407.3361
[1407.3361] Faster polynomial multiplication over finite fields
Abstract page for arXiv paper 1407.3361: Faster polynomial multiplication over finite fields
polynomial multiplication14073361fasterfinite
https://www.unsw.edu.au/science/our-schools/maths/engage-with-us/seminars/2018/exponential-sums-over-multiplicative-subgroups-arbitrary-finite-fields
On exponential sums over multiplicative subgroups in arbitrary finite fields | School of...
exponential sums
https://arxiv.org/abs/2407.21362
[2407.21362] A strengthening of McConnel's theorem on permutations over finite fields
Abstract page for arXiv paper 2407.21362: A strengthening of McConnel's theorem on permutations over finite fields
https://www.themarysue.com/new-linear-equations-solution/
A New Way To Solve Linear Equations Over Finite Fields | The Mary Sue
Aug 10, 2012 - Prasad Raghavendra, an Assistant Professor at University of California, Berkeley, has found a whole new way of looking at and solving linear equations. Current...
a new way to
https://blog.515hikaru.net/
Diary over Finite Fields
diaryfinitefields
https://arxiv.org/abs/1906.07230
[1906.07230] Rank-deficient representations in the Theta correspondence over finite fields arise...
Abstract page for arXiv paper 1906.07230: Rank-deficient representations in the Theta correspondence over finite fields arise from quantum codes
https://arxiv.org/abs/1209.2887
[1209.2887] Decoding of Subspace Codes, a Problem of Schubert Calculus over Finite Fields
Abstract page for arXiv paper 1209.2887: Decoding of Subspace Codes, a Problem of Schubert Calculus over Finite Fields