Results 311 to 320 of about 11,403,908 (364)
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On the modular functions.

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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Classical Modular Symbols, Modular Forms, L-functions

2021
We 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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The Modular Function

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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De novo design of modular and tunable protein biosensors

Nature, 2021
Alfredo Quijano-Rubio   +2 more
exaly  

Designing modern aqueous batteries

Nature Reviews Materials, 2022
Yanliang Liang, Yan Yao
exaly  

Zeta-Functions of Modular Curves

2006
This 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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