Hyperelliptic integrals modulo $p$ and Cartier–Manin matrices
نویسندگان
چکیده
منابع مشابه
Symmetric Pascal matrices modulo p
T = 1 1 1 1 2 1 1 3 3 1 .. . . . = exp 0 1 0 0 2 0 0 3 0 . . . with coefficients ti,j = (i j ) . This shows that det(P (n)) = 1 and that P (n) is positive definite for all n ∈ N. It implies furthermore that the characteristic polynomial det(tI(n)−P (n)) = ∑ k=0 αkt k (where I(n) denotes the identity matrix of order n) of P (n) has only positive real roots. The in...
متن کاملON SELBERG-TYPE SQUARE MATRICES INTEGRALS
In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under the abstract algebra. Then Selberg-type integrals are calculated under orthogonal transformations.
متن کاملHyperelliptic curves, L-polynomials and random matrices
We analyze the distribution of unitarized L-polynomials L̄p(T ) (as p varies) obtained from a hyperelliptic curve of genus g ≤ 3 defined over Q. In the generic case, we find experimental agreement with a predicted correspondence (based on the Katz-Sarnak random matrix model) between the distributions of L̄p(T ) and of characteristic polynomials of random matrices in the compact Lie group USp(2g)....
متن کاملOn Hadamard Modulo Prime p Matrices of Size at most 2 p + 1 1
In this note, we continue the study of Hadamard Modulo Prime (HMP) matrices initialized in recent articles [5] – [6]. Namely, we have present some new non-existence and classification results for HMP matrices whose size is relatively small with respect to the modulo.
متن کاملQuasiperiodic Biosequences and Modulo Incidence Matrices
Algorithm development for finding quasiperiodic regions in sequences is at the core of many problems arising in biological sequence analysis. We solve an important problem in this area. Let A be an alphabet of size n and A’ denote the set of sequences of length 1 over A. Given a sequence S = ~1.52 . . .sl E A’, a positive integer p is called a period of S if s; = s;+~ for 1 5 i 5 1 p. S is call...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2020
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2020.v16.n3.a1