Results 241 to 250 of about 481,122 (286)
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2000
It is the purpose of the authors to use \(n\)th order theta functions to construct some modular forms of weight 0 on the groups \(\Gamma_0 (p)\), \(p\) a prime (Theorem 1), \(\Gamma^0(p^2)\), \(p\) a prime (Theorem 2) and \(\theta(n)=\Gamma_0 \setminus\operatorname{cap} \Gamma_\vartheta\), \(n\in\mathbb{Z}^+\) (Theorem 3).
KIRMACI, Uğur Selamet +1 more
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It is the purpose of the authors to use \(n\)th order theta functions to construct some modular forms of weight 0 on the groups \(\Gamma_0 (p)\), \(p\) a prime (Theorem 1), \(\Gamma^0(p^2)\), \(p\) a prime (Theorem 2) and \(\theta(n)=\Gamma_0 \setminus\operatorname{cap} \Gamma_\vartheta\), \(n\in\mathbb{Z}^+\) (Theorem 3).
KIRMACI, Uğur Selamet +1 more
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Classical Modular Symbols, Modular Forms, L-functions
2021We introduce the classical modular symbols, which are modular symbols with coefficients polynomials of bounded degree. We explain their close connection with modular forms, and with their L-functions.
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1987
By SL2 we mean the group of 2 x 2 matrices with determinant 1. We write SL2 (R) for those elements of SL2 having coefficients in a ring R. In practice, the ring R will be Z, Q, R. We call SL2 (Z) the modular group.
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By SL2 we mean the group of 2 x 2 matrices with determinant 1. We write SL2 (R) for those elements of SL2 having coefficients in a ring R. In practice, the ring R will be Z, Q, R. We call SL2 (Z) the modular group.
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Zeta-Functions of Modular Curves
2006This work gives an exposition and a generalization of classical results due to M. Eichler [1] and G. Shimura [2], which give the expression of congruence-zeta-functions of some modular curves in terms of Hecke polynomials. The central point in these papers is the famous congruence relation which links the local factor of the Mellin transforms of ...
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1996
For a lattice \(L\) and a group \(G\) a map \(\mu: L\to G\) is called a modular function if for all \(x,y\in L\), we have \(\mu(x\vee y)+ \mu(x\wedge y)= \mu(x)+ \mu(y)\). The important examples that provide much of the motivation for the study of modular functions are furnished by measures on Boolean algebras and linear operators on vector lattices ...
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For a lattice \(L\) and a group \(G\) a map \(\mu: L\to G\) is called a modular function if for all \(x,y\in L\), we have \(\mu(x\vee y)+ \mu(x\wedge y)= \mu(x)+ \mu(y)\). The important examples that provide much of the motivation for the study of modular functions are furnished by measures on Boolean algebras and linear operators on vector lattices ...
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Modular Design for Versatile Broadband Polarizing Metasurfaces with Freely Switching Functions
Advanced Functional Materials, 2023Kun Song, Ruonan Ji, Yahong Liu
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