Fricke involution

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August undefined, 2024

WebThe second matrix is a Fricke involution. In general level N, the Fricke involution is W N:= 1 p N (0 1 N 0): The subgroup of (1) generated by 0(N) and the Fricke involution has a … WebApr 1, 2016 · For this, we first recall the action of the Fricke involution, given by (2.5) g k W N (τ): = (− i N τ) − k g (− 1 N τ). It is well-known that g k W N ∈ S k (M, χ (N ⋅)) (see …

Frickeinvolution – Wikipedia

WebJul 21, 2024 · In this final section, we will prove the reciprocity laws Theorem 2.1 and Corollary 2.3 using the quantum modularity for the Fricke involution of additive twists proved above. 5.1 Proof of Theorem 2.1 and Corollary 2.3. By combining Corollary 3.3 and Theorem 4.8 with $r=-q/(lN)$, we get an explicit formula for the left-hand side of . WebOct 18, 2014 · (In the case of half-integral weight, the Fricke involution is H M = H 4N in our notation.) Therefore, we will have an extra factor, which we call λ f. Note that the extra factor corresponding to the eigenvalues under H M also appears in Raghuram’s results (see ). Since normalization of Fourier coefficients is not known in the case of half ... midland annuity phone number

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WebJul 10, 2024 · Throughout R is a noetherian Witt ring. The basic example is the Witt ring WF of a field F of characteristic not 2 and finite. We study the structure of (noetherian) Witt rings which are also ... WebMar 1, 2024 · (p) consisting of all eigenforms of the Fricke involution W p with eigenvalue −1. We are interested in finding a canonical basis for the minus space M k! − (p) for certain levels. Using this result, along with previous works of Choi and Kim [CK13], we find a canonical basis for the space M k! WebStack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, … news ryan zimmerman retires

On isomorphisms between Siegel modular threefolds

Fricke - Wikipedia

WebMar 8, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site Web4N is the Fricke involution 0 1=(2 p N) 2 p N 0 : We shall also adopt the notation that we may write Min the form M= a M b M c M d M :Further, the arguments of complex … news rutland vermontWebThe modular curve X 0 + (p) = X 0 (p) / w p, where w p is the Fricke involution of X 0 (p), has genus zero. Every supersingular elliptic curve in characteristic p can be defined over the prime subfield F p. The order of the Monster group is divisible by p. The equivalence is due to Andrew Ogg. news ruth bader ginsburg

"WebNov 30, 2024 · Let E be an elliptic curve defined over the rationals and let N be its conductor. Assume N is prime. In this paper, we prove that the index on E of the Heegner divisor of discriminant $D=-~4N$ is even provided $N\equiv 7\pmod {8}$ and discuss some conjectures on further parity properties for the indexes on E of Heegner divisors of … " - Fricke involution

Fricke involution

$arXiv:0709.0132v1 [math.NT] 2 Sep 2007$

WebGalois representations attached to Q-curves and the generalized Fermat equation A4 +B2 = Cp Jordan S. Ellenberg ∗ Princeton University [email protected]

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WebDec 23, 2015 · The U.S. Department of Energy's Office of Scientific and Technical Information WebAug 20, 2024 · In particular, we find that the topological string partition function of a smooth genus one fibered Calabi-Yau threefold is transformed into that of a non-commutative resolution of the Jacobian by a Fricke involution.

WebSince their quotients X + 0 (6),X + 0 (7) under the Fricke involution (an Atkin-Lehner involution) are of genus 0, the parametrization is by two-valued algebraic functions. The resulting hypergeometric transformations are closely related to the two-valued modular equations of Fricke and H. Cohn. Original language: WebIn mathematics, a Fricke involution is the involution of the modular curve X0(N) given by τ → –1/Nτ. It is named after Robert Fricke. The Fricke involution also acts on other …

WebX0(N)/wN and wN is the Fricke involution. Under this morphism the traces of the Heegner points of X+ 0 (N) map to rational points on E. In this paper we study the index I of the subgroup generated by all these traces on E(Q). We propose and also discuss a conjecture that says that if N is prime and I > 1, then either WebThere are two definitions of the supersingular primes: one group-theoretic, and the other number-theoretic. Group-theoretically, let be the modular group Gamma0, and let be the compactification (by adding cusps) of , where is the upper half-plane . Also define to be the Fricke involution defined by the block matrix . For a prime, define .

WebFrickeinvolution. Inom matematiken är Frickeinvolutionen, uppkallad efter Robert Fricke, involutionen av modulära kurvan X0 ( N) given av τ → –1/ N τ. Frickeinvolutionen verkar …

WebIn Section 4 we will see that our assumptions on the Fricke involution and the Hecke operators lead to condition (2.2) with °1 2 ¡0(13) and °2 in some other discrete group. We also obtain higher order conditions (2.3) where each °j comes from a diﬁerent group. This suggests the following question: Question 2.2. news rutland vtWebThe following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution. $277$ Dim. news rx health\u0026scienceWebSep 10, 2024 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their … midland annuity reviewsWebThe Fricke involution WN of level N, also known as the canonical involution, acts on the space of newforms of level N, some integral weight k, and trivial character. Here k is … news rx health\\u0026scienceWebAug 15, 2013 · Eigenvalue of Fricke involution on newforms of level 4 and of trivial character. Yichao Zhang. In this note, we consider the newforms of integral weight, level … newsrx health \\u0026 science影响因子Web4N is the Fricke involution 0 1=(2 p N) 2 p N 0 : We shall also adopt the notation that we may write Min the form M= a M b M c M d M :Further, the arguments of complex numbers are chosen to be in ( ˇ;ˇ]. Then, for f: H !C and 2 SL 2(R), we recall the slash operator: fj. It is de ned by the formula (fj)(z) = f(z) (c z+ d) 1=2 jc z+ d j1=2; 2 midland annuity ratesWebAug 3, 2024 · On GL(2), the Fricke involution is well-known and is a special case of Atkin-Lehner-Li operator. nt.number-theory; gr.group-theory; modular-forms; automorphic … new srx cadillac