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A LEMMA IN ANALYTIC NUMBER THEORY
"... Let p be a prime number and q = p n. In Trevor’s talk, the following theorem is proved: Theorem 0.1. Let E be an elliptic curve over K, [K: Q] = d, and let P ∈ E(K) be a point of order q. Then (0.1) q ≤ 2(5 d + 1) · 129(3d) 6. In order to prove the above theorem, he needs the following lemma(Lemma ..."
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Let p be a prime number and q = p n. In Trevor’s talk, the following theorem is proved: Theorem 0.1. Let E be an elliptic curve over K, [K: Q] = d, and let P ∈ E(K) be a point of order q. Then (0.1) q ≤ 2(5 d + 1) · 129(3d) 6. In order to prove the above theorem, he needs the following lemma
Some aspects of analytic number theory: Parity, . . .
, 2009
"... Questions on parities play a central role in analytic number theory. Properties of the partial sums of parities are intimate to both the prime number theorem and the Riemann hypothesis. This thesis focuses on investigations of Liouville’s parity function and related completely multiplicative parit ..."
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Questions on parities play a central role in analytic number theory. Properties of the partial sums of parities are intimate to both the prime number theorem and the Riemann hypothesis. This thesis focuses on investigations of Liouville’s parity function and related completely multiplicative
Analytic Number Theory, Complex Variable and Supercomputers
, 1994
"... This paper is the final report of an undergraduate honors thesis project advised by Prof. Dennis Hejhal of the School of Mathematics, University of Minnesota. The main purpose of this project is to examine the analytic properties of certain "quantummechanical particles" in Lobachevsky spa ..."
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This paper is the final report of an undergraduate honors thesis project advised by Prof. Dennis Hejhal of the School of Mathematics, University of Minnesota. The main purpose of this project is to examine the analytic properties of certain "quantummechanical particles" in Lobachevsky
Math 229: Introduction to Analytic Number Theory
"... As promised, here is the analytic lemma from [Merel 1996]. The algebraic exponential sum that arises naturally here also arises in our investigation of the coefficients of modular forms. ..."
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As promised, here is the analytic lemma from [Merel 1996]. The algebraic exponential sum that arises naturally here also arises in our investigation of the coefficients of modular forms.
Math 229: Introduction to Analytic Number Theory
"... As promised, here is the analytic lemma from [Merel 1996]. The algebraic exponential sum that arises naturally here also arises in our investigation of the coefficients of modular forms. ..."
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As promised, here is the analytic lemma from [Merel 1996]. The algebraic exponential sum that arises naturally here also arises in our investigation of the coefficients of modular forms.
Math 229: Introduction to Analytic Number Theory
"... Elementary approaches I: Variations on a theme of Euclid ..."
Math 259: Introduction to Analytic Number Theory
"... Elementary approaches I: Variations on a theme of Euclid ..."
Math 229: Introduction to Analytic Number Theory
"... How small can disc(K)  be for a number field K of degree n = r 1 + 2r 2? Let K be a number field of degree n = r1 + 2r2, where as usual r1 and r2 are respectively the numbers of real embeddings and conjugate complex embeddings of K. Let OK be the ring of algebraic integers of K, and DK = disc(K/Q) ..."
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How small can disc(K)  be for a number field K of degree n = r 1 + 2r 2? Let K be a number field of degree n = r1 + 2r2, where as usual r1 and r2 are respectively the numbers of real embeddings and conjugate complex embeddings of K. Let OK be the ring of algebraic integers of K, and DK = disc(K/Q) the
Math 259: Introduction to Analytic Number Theory
"... How small can disc(K)  be for a number field K of degree n = r 1 + 2r 2? Let K be a number field of degree n = r 1 + 2r 2, where as usual r 1 and r 2 are respectively the numbers of real embeddings and conjugate complex embeddings of K. Let OK be the ring of algebraic integers of K, and DK = disc( ..."
Abstract
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How small can disc(K)  be for a number field K of degree n = r 1 + 2r 2? Let K be a number field of degree n = r 1 + 2r 2, where as usual r 1 and r 2 are respectively the numbers of real embeddings and conjugate complex embeddings of K. Let OK be the ring of algebraic integers of K, and DK = disc(K/Q) the
Results 11  20
of
2,940,785