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15
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Holomorphicity of the ratio of zeta functions

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#algebraic-number-theory #analytic-number-theory #zeta-functions #entire-functions #l-functions
226
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Bounds for Hurwitz zeta functions

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#analytic-number-theory
115
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Question regarding a statement in A course in Arithmetic by Serre.

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#complex-analysis #analytic-number-theory
227
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Regarding doubt in proof that every modular function can be represented as rational function of J.

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#complex-analysis #analytic-number-theory #modular-function
68
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Why is $\ln(\zeta(s))\sim \ln\big(\frac{1}{s-1}\big) $ as $s\to 1$

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#complex-analysis #analytic-number-theory
27
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Regarding a property of Klein modular function J

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#complex-analysis #analytic-number-theory #modular-function
86
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Number of ways of writing $m=m_1\cdots m_k$

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#number-theory #asymptotics #analytic-number-theory #factoring
285
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Doubts in proof of a theorem related to modular functions from Tom Apostol 's Modular functions and Dirichlet series in Number Theory

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#analytic-number-theory #modular-function #modular-group
61
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Show that, If $a-1\mid S(a-1,2m)$ and $a-1>2m+1$ then $(f(a,2m))_a\in X_a$

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#number-theory #analytic-number-theory
84
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Estimate for $n$-th Prime.

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#number-theory #prime-numbers #analytic-number-theory
49
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Regarding properties of function Dedekind sum in analytic number theory

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#number-theory #analytic-number-theory
79
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Regarding property of Dedekind sums in analytic number theory

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#number-theory #analytic-number-theory
58
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Behavior of $ f_p$ under generator $S\tau = ( -1 / \tau )$

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#number-theory #analytic-number-theory #modular-forms #automorphic-forms
111
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Why is $\zeta_m(s)=\prod\limits_\chi L(s,\chi).$ a Dirichlet series with positive coefficients?

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#complex-analysis #analytic-number-theory #riemann-zeta #dirichlet-series
516
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Reference request for a book that covers analytic continuation in great detail starting from basics

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#complex-analysis #reference-request #analytic-number-theory #analytic-continuation

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